Podcasts about American Mathematical Society

Episode 129I spoke with Kristin Lauter about:* Elliptic curve cryptography and homomorphic encryption* Standardizing cryptographic protocols* Machine Learning on encrypted data* Attacking post-quantum cryptography with AIEnjoy—and let me know what you think!Kristin is Senior Director of FAIR Labs North America (2022—present), based in Seattle. Her current research areas are AI4Crypto and Private AI. She joined FAIR (Facebook AI Research) in 2021, after 22 years at Microsoft Research (MSR). At MSR she was Partner Research Manager on the senior leadership team of MSR Redmond. Before joining Microsoft in 1999, she was Hildebrandt Assistant Professor of Mathematics at the University of Michigan (1996-1999). She is an Affiliate Professor of Mathematics at the University of Washington (2008—present). She received all her advanced degrees from the University of Chicago, BA (1990), MS (1991), PhD (1996) in Mathematics. She is best known for her work on Elliptic Curve Cryptography, Supersingular Isogeny Graphs in Cryptography, Homomorphic Encryption (SEALcrypto.org), Private AI, and AI4Crypto. She served as President of the Association for Women in Mathematics from 2015-2017 and on the Council of the American Mathematical Society from 2014-2017.Find me on Twitter for updates on new episodes, and reach me at editor@thegradient.pub for feedback, ideas, guest suggestions. I spend a lot of time on this podcast—if you like my work, you can support me on Patreon :) You can also support upkeep for the full Gradient team/project through a paid subscription on Substack!Subscribe to The Gradient Podcast: Apple Podcasts  | Spotify | Pocket Casts | RSSFollow The Gradient on TwitterOutline:* (00:00) Intro* (01:10) Llama 3 and encrypted data — where do we want to be?* (04:20) Tradeoffs: individual privacy vs. aggregated value in e.g. social media forums* (07:48) Kristin's shift in views on privacy* (09:40) Earlier work on elliptic curve cryptography — applications and theory* (10:50) Inspirations from algebra, number theory, and algebraic geometry* (15:40) On algebra vs. analysis and on clear thinking* (18:38) Elliptic curve cryptography and security, algorithms and concrete running time* (21:31) Cryptographic protocols and setting standards* (26:36) Supersingular isogeny graphs (and higher-dimensional supersingular isogeny graphs)* (32:26) Hard problems for cryptography and finding new problems* (36:42) Guaranteeing security for cryptographic protocols and mathematical foundations* (40:15) Private AI: Crypto-Nets / running neural nets on homomorphically encrypted data* (42:10) Polynomial approximations, activation functions, and expressivity* (44:32) Scaling up, Llama 2 inference on encrypted data* (46:10) Transitioning between MSR and FAIR, industry research* (52:45) An efficient algorithm for integer lattice reduction (AI4Crypto)* (56:23) Local minima, convergence and limit guarantees, scaling* (58:27) SALSA: Attacking Lattice Cryptography with Transformers* (58:38) Learning With Errors (LWE) vs. standard ML assumptions* (1:02:25) Powers of small primes and faster learning* (1:04:35) LWE and linear regression on a torus* (1:07:30) Secret recovery algorithms and transformer accuracy* (1:09:10) Interpretability / encoding information about secrets* (1:09:45) Future work / scaling up* (1:12:08) Reflections on working as a mathematician among technologistsLinks:* Kristin's Meta, Wikipedia, Google Scholar, and Twitter pages* Papers and sources mentioned/referenced:* The Advantages of Elliptic Curve Cryptography for Wireless Security (2004)* Cryptographic Hash Functions from Expander Graphs (2007, introducing Supersingular Isogeny Graphs)* Families of Ramanujan Graphs and Quaternion Algebras (2008 — the higher-dimensional analogues of Supersingular Isogeny Graphs)* Cryptographic Cloud Storage (2010)* Can homomorphic encryption be practical? (2011)* ML Confidential: Machine Learning on Encrypted Data (2012)* CryptoNets: Applying neural networks to encrypted data with high throughput and accuracy (2016)* A community effort to protect genomic data sharing, collaboration and outsourcing (2017)* The Homomorphic Encryption Standard (2022)* Private AI: Machine Learning on Encrypted Data (2022)* SALSA: Attacking Lattice Cryptography with Transformers (2022)* SalsaPicante: A Machine Learning Attack on LWE with Binary Secrets* SALSA VERDE: a machine learning attack on LWE with sparse small secrets* Salsa Fresca: Angular Embeddings and Pre-Training for ML Attacks on Learning With Errors* The cool and the cruel: separating hard parts of LWE secrets* An efficient algorithm for integer lattice reduction (2023) Get full access to The Gradient at thegradientpub.substack.com/subscribe

Send us a Text Message.University of San Diego Fletcher Jones professor of applied mathematics, Dr. Satyan Devadoss, questions whether mathematics should be learned merely for the sake of utility and efficiency. Throughout high school, we are taught mathematics because it is useful in STEM fields. It is for the sake of new technologies that you learn about percentages, Pythagoras, and polynomials. But perhaps, by turning math into merely a science, we have missed its poetry.  As Dr. Devadoss discusses in his book, Mage Merlin's Unsolved Math Mysteries, the beauty of mathematics is not its technological use, but its ability to expand our imaginations and discover the world beyond the limits of the material. Topics:Modern Math Education - Skill over DiscoveryThe Loss of Wonder in Modern Math EducationJoy in Solving Unsolved Math ProblemsRediscovering the Beauty of MathematicsHow STEM studies Became Separated from the Humanities and why it mattersExploring Education and InterconnectivenessComplexity and Value of Different DisciplinesThe Value of Analog vs Digital - "Learning to be Human again""What books have had an impact on you?""What advice do you have for teenagers?"Bio:Dr. Satyan Devadoss is the Fletcher Jones professor of applied mathematics at the University of San Diego.  Before this, he was professor at Williams for nearly 15 years, and has held visiting positions at Ohio State, Harvey Mudd, UC San Diego, UC Berkeley, and Stanford.  He is a fellow of the American Mathematical Society, and recipient of two national teaching awards, with his thoughts appearing in venues such as NPR, the Times of London, the Washington Post, and the Los Angeles Times. His most recent book is Mage Merlin's Unsolved Math Mysteries (MIT/Penguin), and his other adventures can be explored here: https://satyandevadoss.org/Socials! -Lessons from Interesting People substack: https://taylorbledsoe.substack.com/Website: https://www.aimingforthemoon.com/Instagram: https://www.instagram.com/aiming4moon/Twitter: https://twitter.com/Aiming4MoonFacebook: https://www.facebook.com/aiming4moonTaylor's Blog: https://www.taylorgbledsoe.com/

Luis Leyva from Vanderbilt University discusses his article, "Queer of Color Justice in Undergraduate Mathematics Education," published in the Notices of the American Mathematical Society, Volume 71. Article URL https://doi.org/10.1090/noti2875  Episode 1701 with Luis https://www.podomatic.com/podcasts/mathed/episodes/2017-01-04T12_03_01-08_00  Other related work Black queer students' counter-stories of invisibility in undergraduate STEM as a white, cisheteropatriarchal space (American Educational Research Journal, 2022): https://doi.org/10.3102/00028312221096455 A queer of color challenge to neutrality in undergraduate STEM pedagogy as a white, cisheteropatriarchal space (Journal of Women and Minorities in Science and Engineering, 2022): https://doi.org/10.1615/JWomenMinorScienEng.2022036586 Undergraduate Latin* queer students' intersectionality of mathematics experiences: A Borderlands perspective (Proceedings of the 44th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, 2022): https://files.eric.ed.gov/fulltext/ED630414.pdf List of past episodes

Richard Borcherds is a mathematician and professor at University of California Berkeley known for his work on lattices, group theory, and infinite-dimensional algebras. His numerous accolades include being awarded the Fields Medal in 1998 and being elected a fellow of the American Mathematical Society and the National Academy of Sciences. Patreon (bonus materials + video chat): https://www.patreon.com/timothynguyen In this episode, Richard and I give an overview of Richard's most famous result: his proof of the Monstrous Moonshine conjecture relating the monster group on the one hand and modular forms on the other. A remarkable feature of the proof is that it involves vertex algebras inspired from elements of string theory. Some familiarity with group theory and representation theory are assumed in our discussion. I. Introduction 00:25: Biography 02:51 : Success in mathematics 04:04 : Monstrous Moonshine overview and John Conway 09:44 : Technical overview II. Group Theory 11:31 : Classification of finite-simple groups + history of the monster group 18:03 : Conway groups + Leech lattice 22:13 : Why was the monster conjectured to exist + more history 28:43 : Centralizers and involutions 32:37: Griess algebra III. Modular Forms 36:42 : Definitions 40:06 : The elliptic modular function 48:58 : Subgroups of SL_2(Z) IV. Monstrous Moonshine Conjecture Statement 57:17: Representations of the monster 59:22 : Hauptmoduls 1:03:50 : Statement of the conjecture 1:07:06 : Atkin-Fong-Smith's first proof 1:09:34 : Frenkel-Lepowski-Meurman's work + significance of Borcherd's proof V. Sketch of Proof 1:14:47: Vertex algebra and monster Lie algebra 1:21:02 : No ghost theorem from string theory 1:25:24 : What's special about dimension 26? 1:28:33 : Monster Lie algebra details 1:32:30 : Dynkin diagrams and Kac-Moody algebras 1:43:21 : Simple roots and an obscure identity 1:45:13: Weyl denominator formula, Vandermonde identity 1:52:14 : Chasing down where modular forms got smuggled in 1:55:03 : Final calculations VI. Epilogue 1:57:53 : Your most proud result? 2:00:47 : Monstrous moonshine for other sporadic groups? 2:02:28 : Connections to other fields. Witten and black holes and mock modular forms.   Further reading: V Tatitschef. A short introduction to Monstrous Moonshine. https://arxiv.org/pdf/1902.03118.pdf Twitter: @iamtimnguyen Webpage: http://www.timothynguyen.org

We tend to think of mathematics as purely logical, but the teaching of math, its usefulness and its workings are packed with nuance. So what is “good” mathematics? In 2007, the mathematician Terence Tao wrote an essay for the “Bulletin of the American Mathematical Society” that sought to answer this question. Today, as the recipient of a Fields Medal, a Breakthrough Prize in Mathematics and a MacArthur Fellowship, Tao is among the most prolific mathematicians alive. In this episode, he joins Steven Strogatz to revisit the makings of good mathematics.

946. It's Talk Like a Pirate Day, which brings to mind "Pirates of the Caribbean," but you can actually pronounce "Caribbean" at least two different ways. Did Disney get it right or wrong? We turn to history for the answer and discover a second fascinating linguistics story along the way! Plus, we answer a listener's question about how to write equations.| Transcript.| American Mathematical Society style guide (PDF).| Subscribe to the newsletter for regular updates.| Watch my LinkedIn Learning writing courses.| Peeve Wars card game. | Grammar Girl books. | HOST: Mignon Fogarty| VOICEMAIL: 833-214-GIRL (833-214-4475) or https://sayhi.chat/grammargirl| Grammar Girl is part of the Quick and Dirty Tips podcast network.Audio engineer: Nathan SemesEditor: Adam CecilAdvertising Operations Specialist: Morgan ChristiansonMarketing and Publicity Assistant: Davina TomlinDigital Operations Specialist: Holly Hutchings| Theme music by Catherine Rannus.| Grammar Girl Social Media Links: YouTube. TikTok. Facebook. Instagram. LinkedIn. Mastodon.

Though this episode starts with quite the extended introduction, this is in fact EPISODE THREE In a four-part study into the 14 additional canons on the back of the Goldbergs, BWV1087. Here in this video, we dismiss a popular Bach video, and examine which videos are in fact Möbius strips.  Here is the disproven crab canon video. Here are two studies which don't quite go far enough: One. I love this channel, don't get me wrong- they just didn't quite examine the consequences of chromatic inversion. Two. The American Mathematical Society publishes similarly. Both studies miss the technical inversions that I have pointed out in this episode. -- And now the blurb from the other two episodes studying BWV 1087: On the back of his own personal copy of the 'Goldberg Variations', Bach notated an additional fourteen canons. These were discovered only as late as 1974(!) and are among the most interesting compositional exercises we know from the composer.  From eight bass notes (the first 8 notes of the 'Goldberg' Aria- the structure in a sense,) Bach creates, yes, fourteen other canons. In this episode, we discuss engraving and canons 5-9. Here is what they look like as seen on the back of Bach's own copy: and HERE is the link to engraving- you can see how Balthasar Schmid (I accidentally added an 'S' to his name in the episode) engraved Bach's BWV988. Support us: https://www.patreon.com/wtfbach https://www.paypal.me/wtfbach https://venmo.com/wtfbach https://cash.app/$wtfbach Ideas? Wanna sponsor an episode? Write us: bach (at) wtfbach (dot) com

This series on artificial intelligence explores recent breakthroughs of AI, its broader societal implications and its future potential. In this presentation, Michael Jordan, professor of Electrical Engineering and Computer Science and Statistics at UC Berkeley, discusses the how to connect research in economics with computer science and statistics, with a long-term goal of providing a broader conceptual foundation for emerging real-world AI systems, and to upend received wisdom in the computational, economic and inferential disciplines. Jordan argues that AI has focused on a paradigm in which intelligence inheres in a single agent, and in which agents should be autonomous so they can exhibit intelligence independent of human intelligence. Thus, when AI systems are deployed in social contexts, the overall design is often naive. Such a paradigm need not be dominant. In a broader framing, agents are active and cooperative, and they wish to obtain value from participation in learning-based systems. Agents may supply data and resources to the system, only if it is in their interest. Critically, intelligence inheres as much in the system as it does in individual agents. Jordan's research interests bridge the computational, statistical, cognitive, biological and social sciences. He is a member of the National Academy of Sciences, the National Academy of Engineering, and the American Academy of Arts and Sciences, and a foreign member of the Royal Society. He was a plenary lecturer at the International Congress of Mathematicians in 2018. He received the Ulf Grenander Prize from the American Mathematical Society in 2021, the IEEE John von Neumann Medal in 2020, the IJCAI Research Excellence Award in 2016, the David E. Rumelhart Prize from the Cognitive Science Society in 2015 and the ACM/AAAI Allen Newell Award in 2009. Series: "The Future of AI" [Science] [Business] [Show ID: 38858]

This series on artificial intelligence explores recent breakthroughs of AI, its broader societal implications and its future potential. In this presentation, Michael Jordan, professor of Electrical Engineering and Computer Science and Statistics at UC Berkeley, discusses the how to connect research in economics with computer science and statistics, with a long-term goal of providing a broader conceptual foundation for emerging real-world AI systems, and to upend received wisdom in the computational, economic and inferential disciplines. Jordan argues that AI has focused on a paradigm in which intelligence inheres in a single agent, and in which agents should be autonomous so they can exhibit intelligence independent of human intelligence. Thus, when AI systems are deployed in social contexts, the overall design is often naive. Such a paradigm need not be dominant. In a broader framing, agents are active and cooperative, and they wish to obtain value from participation in learning-based systems. Agents may supply data and resources to the system, only if it is in their interest. Critically, intelligence inheres as much in the system as it does in individual agents. Jordan's research interests bridge the computational, statistical, cognitive, biological and social sciences. He is a member of the National Academy of Sciences, the National Academy of Engineering, and the American Academy of Arts and Sciences, and a foreign member of the Royal Society. He was a plenary lecturer at the International Congress of Mathematicians in 2018. He received the Ulf Grenander Prize from the American Mathematical Society in 2021, the IEEE John von Neumann Medal in 2020, the IJCAI Research Excellence Award in 2016, the David E. Rumelhart Prize from the Cognitive Science Society in 2015 and the ACM/AAAI Allen Newell Award in 2009. Series: "The Future of AI" [Science] [Business] [Show ID: 38858]

This series on artificial intelligence explores recent breakthroughs of AI, its broader societal implications and its future potential. In this presentation, Michael Jordan, professor of Electrical Engineering and Computer Science and Statistics at UC Berkeley, discusses the how to connect research in economics with computer science and statistics, with a long-term goal of providing a broader conceptual foundation for emerging real-world AI systems, and to upend received wisdom in the computational, economic and inferential disciplines. Jordan argues that AI has focused on a paradigm in which intelligence inheres in a single agent, and in which agents should be autonomous so they can exhibit intelligence independent of human intelligence. Thus, when AI systems are deployed in social contexts, the overall design is often naive. Such a paradigm need not be dominant. In a broader framing, agents are active and cooperative, and they wish to obtain value from participation in learning-based systems. Agents may supply data and resources to the system, only if it is in their interest. Critically, intelligence inheres as much in the system as it does in individual agents. Jordan's research interests bridge the computational, statistical, cognitive, biological and social sciences. He is a member of the National Academy of Sciences, the National Academy of Engineering, and the American Academy of Arts and Sciences, and a foreign member of the Royal Society. He was a plenary lecturer at the International Congress of Mathematicians in 2018. He received the Ulf Grenander Prize from the American Mathematical Society in 2021, the IEEE John von Neumann Medal in 2020, the IJCAI Research Excellence Award in 2016, the David E. Rumelhart Prize from the Cognitive Science Society in 2015 and the ACM/AAAI Allen Newell Award in 2009. Series: "The Future of AI" [Science] [Business] [Show ID: 38858]

This series on artificial intelligence explores recent breakthroughs of AI, its broader societal implications and its future potential. In this presentation, Michael Jordan, professor of Electrical Engineering and Computer Science and Statistics at UC Berkeley, discusses the how to connect research in economics with computer science and statistics, with a long-term goal of providing a broader conceptual foundation for emerging real-world AI systems, and to upend received wisdom in the computational, economic and inferential disciplines. Jordan argues that AI has focused on a paradigm in which intelligence inheres in a single agent, and in which agents should be autonomous so they can exhibit intelligence independent of human intelligence. Thus, when AI systems are deployed in social contexts, the overall design is often naive. Such a paradigm need not be dominant. In a broader framing, agents are active and cooperative, and they wish to obtain value from participation in learning-based systems. Agents may supply data and resources to the system, only if it is in their interest. Critically, intelligence inheres as much in the system as it does in individual agents. Jordan's research interests bridge the computational, statistical, cognitive, biological and social sciences. He is a member of the National Academy of Sciences, the National Academy of Engineering, and the American Academy of Arts and Sciences, and a foreign member of the Royal Society. He was a plenary lecturer at the International Congress of Mathematicians in 2018. He received the Ulf Grenander Prize from the American Mathematical Society in 2021, the IEEE John von Neumann Medal in 2020, the IJCAI Research Excellence Award in 2016, the David E. Rumelhart Prize from the Cognitive Science Society in 2015 and the ACM/AAAI Allen Newell Award in 2009. Series: "The Future of AI" [Science] [Business] [Show ID: 38858]

This series on artificial intelligence explores recent breakthroughs of AI, its broader societal implications and its future potential. In this presentation, Michael Jordan, professor of Electrical Engineering and Computer Science and Statistics at UC Berkeley, discusses the how to connect research in economics with computer science and statistics, with a long-term goal of providing a broader conceptual foundation for emerging real-world AI systems, and to upend received wisdom in the computational, economic and inferential disciplines. Jordan argues that AI has focused on a paradigm in which intelligence inheres in a single agent, and in which agents should be autonomous so they can exhibit intelligence independent of human intelligence. Thus, when AI systems are deployed in social contexts, the overall design is often naive. Such a paradigm need not be dominant. In a broader framing, agents are active and cooperative, and they wish to obtain value from participation in learning-based systems. Agents may supply data and resources to the system, only if it is in their interest. Critically, intelligence inheres as much in the system as it does in individual agents. Jordan's research interests bridge the computational, statistical, cognitive, biological and social sciences. He is a member of the National Academy of Sciences, the National Academy of Engineering, and the American Academy of Arts and Sciences, and a foreign member of the Royal Society. He was a plenary lecturer at the International Congress of Mathematicians in 2018. He received the Ulf Grenander Prize from the American Mathematical Society in 2021, the IEEE John von Neumann Medal in 2020, the IJCAI Research Excellence Award in 2016, the David E. Rumelhart Prize from the Cognitive Science Society in 2015 and the ACM/AAAI Allen Newell Award in 2009. Series: "The Future of AI" [Science] [Business] [Show ID: 38858]

Lawrence Udeigwe, associate professor of mathematics at Manhattan College and an MLK Visiting Associate Professor in Brain and Cognitive Sciences at MIT, is both a mathematician and a musician. We discuss his recent opinion piece in the Notices of the American Mathematical Society calling for "A Case for More Engagement" between the two areas, and even get a little "Misty." He's working on music that both jazz and math folks will enjoy. We talk about "hearing" math in jazz and the life of a mathematician among neuroscientists. --- Send in a voice message: https://podcasters.spotify.com/pod/show/the-art-of-mathematics/message

African-Americans and women are increasingly visible in professional mathematical institutions, organizations, and literature, expanding our mental models of the mathematics community. Yet early representation also matters: We begin building these models as soon as we begin seeing and doing mathematics, and they can be slow to adapt. In her wonderful activity book Women Who Count: Honoring African American Women Mathematicians (MAA Press, 2019), Dr. Shelly Jones invites children, and their parents and educators, to immerse themselves in the lives and deeds of Black women mathematicians. The 29 profiles trace back to "the Firsts" in their fields, such as early PhD awardee Evelyn Boyd Granville; the "Pioneers" of emerging fields and programs, including ethnomathematics co-founder Gloria Gilmer; through "Unhidden Figures" like Dorothy Johnson Vaughan of recent biopic fame; and to "Contemporary Firsts" who are living, working, and opening new doors today. Along with their mathematical contributions, Dr. Jones shares details of these mathematicians' early lives, their hobbies and interests, and how they have been shaped by and in turn shaped their communities. Each mini-biography introduces a whole person whom readers new to mathematics can relate to and be inspired by. Each profile is accompanied by a pencil-and-paper activity that brings to life the some part of their story. Some are classics, including word searches and I-Spy, while others introduce readers to mathematical and educational concepts explored by their subjects—coloring tessellations, for example, or solving equations to decode messages. The text and activities are targeted to grades 3–8, and are ideal for elementary and middle school classrooms. In our conversation, Dr. Jones described how she conceived the book, assembled the stories and activities, and connected with illustrator Veronica Martins. I came away with a richer perspective on the state of the field for aspiring mathematicians—in addition to a perfect gift for my second-grade nephew. Suggested companion works: Mathematicians of the African Diaspora Mathematically Gifted and Black Mathematician Project Lathisms We are Indigenous Mathematicians Black Girl MATHgic Talitha Washington Dr. Shelly M. Jones is a Professor of Mathematics Education at Central Connecticut State University. She has been an educator for 30 years and currently teaches undergraduate mathematics content and methods courses for pre-service teachers as well as graduate level mathematics content, curriculum and STEM courses for in-service teachers. Dr. Jones serves her community by working with various professional and community organizations. You can see her CCSU TEDx talk on YouTube where she talks about culturally relevant mathematics. She is also a contributing author to The Brilliance of Black Children in Mathematics: Beyond the Numbers and Toward a New Discourse and co-author of Engaging in Culturally Relevant Math Tasks: Fostering Hope. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/african-american-studies

African-Americans and women are increasingly visible in professional mathematical institutions, organizations, and literature, expanding our mental models of the mathematics community. Yet early representation also matters: We begin building these models as soon as we begin seeing and doing mathematics, and they can be slow to adapt. In her wonderful activity book Women Who Count: Honoring African American Women Mathematicians (MAA Press, 2019), Dr. Shelly Jones invites children, and their parents and educators, to immerse themselves in the lives and deeds of Black women mathematicians. The 29 profiles trace back to "the Firsts" in their fields, such as early PhD awardee Evelyn Boyd Granville; the "Pioneers" of emerging fields and programs, including ethnomathematics co-founder Gloria Gilmer; through "Unhidden Figures" like Dorothy Johnson Vaughan of recent biopic fame; and to "Contemporary Firsts" who are living, working, and opening new doors today. Along with their mathematical contributions, Dr. Jones shares details of these mathematicians' early lives, their hobbies and interests, and how they have been shaped by and in turn shaped their communities. Each mini-biography introduces a whole person whom readers new to mathematics can relate to and be inspired by. Each profile is accompanied by a pencil-and-paper activity that brings to life the some part of their story. Some are classics, including word searches and I-Spy, while others introduce readers to mathematical and educational concepts explored by their subjects—coloring tessellations, for example, or solving equations to decode messages. The text and activities are targeted to grades 3–8, and are ideal for elementary and middle school classrooms. In our conversation, Dr. Jones described how she conceived the book, assembled the stories and activities, and connected with illustrator Veronica Martins. I came away with a richer perspective on the state of the field for aspiring mathematicians—in addition to a perfect gift for my second-grade nephew. Suggested companion works: Mathematicians of the African Diaspora Mathematically Gifted and Black Mathematician Project Lathisms We are Indigenous Mathematicians Black Girl MATHgic Talitha Washington Dr. Shelly M. Jones is a Professor of Mathematics Education at Central Connecticut State University. She has been an educator for 30 years and currently teaches undergraduate mathematics content and methods courses for pre-service teachers as well as graduate level mathematics content, curriculum and STEM courses for in-service teachers. Dr. Jones serves her community by working with various professional and community organizations. You can see her CCSU TEDx talk on YouTube where she talks about culturally relevant mathematics. She is also a contributing author to The Brilliance of Black Children in Mathematics: Beyond the Numbers and Toward a New Discourse and co-author of Engaging in Culturally Relevant Math Tasks: Fostering Hope. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/new-books-network

African-Americans and women are increasingly visible in professional mathematical institutions, organizations, and literature, expanding our mental models of the mathematics community. Yet early representation also matters: We begin building these models as soon as we begin seeing and doing mathematics, and they can be slow to adapt. In her wonderful activity book Women Who Count: Honoring African American Women Mathematicians (MAA Press, 2019), Dr. Shelly Jones invites children, and their parents and educators, to immerse themselves in the lives and deeds of Black women mathematicians. The 29 profiles trace back to "the Firsts" in their fields, such as early PhD awardee Evelyn Boyd Granville; the "Pioneers" of emerging fields and programs, including ethnomathematics co-founder Gloria Gilmer; through "Unhidden Figures" like Dorothy Johnson Vaughan of recent biopic fame; and to "Contemporary Firsts" who are living, working, and opening new doors today. Along with their mathematical contributions, Dr. Jones shares details of these mathematicians' early lives, their hobbies and interests, and how they have been shaped by and in turn shaped their communities. Each mini-biography introduces a whole person whom readers new to mathematics can relate to and be inspired by. Each profile is accompanied by a pencil-and-paper activity that brings to life the some part of their story. Some are classics, including word searches and I-Spy, while others introduce readers to mathematical and educational concepts explored by their subjects—coloring tessellations, for example, or solving equations to decode messages. The text and activities are targeted to grades 3–8, and are ideal for elementary and middle school classrooms. In our conversation, Dr. Jones described how she conceived the book, assembled the stories and activities, and connected with illustrator Veronica Martins. I came away with a richer perspective on the state of the field for aspiring mathematicians—in addition to a perfect gift for my second-grade nephew. Suggested companion works: Mathematicians of the African Diaspora Mathematically Gifted and Black Mathematician Project Lathisms We are Indigenous Mathematicians Black Girl MATHgic Talitha Washington Dr. Shelly M. Jones is a Professor of Mathematics Education at Central Connecticut State University. She has been an educator for 30 years and currently teaches undergraduate mathematics content and methods courses for pre-service teachers as well as graduate level mathematics content, curriculum and STEM courses for in-service teachers. Dr. Jones serves her community by working with various professional and community organizations. You can see her CCSU TEDx talk on YouTube where she talks about culturally relevant mathematics. She is also a contributing author to The Brilliance of Black Children in Mathematics: Beyond the Numbers and Toward a New Discourse and co-author of Engaging in Culturally Relevant Math Tasks: Fostering Hope. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

African-Americans and women are increasingly visible in professional mathematical institutions, organizations, and literature, expanding our mental models of the mathematics community. Yet early representation also matters: We begin building these models as soon as we begin seeing and doing mathematics, and they can be slow to adapt. In her wonderful activity book Women Who Count: Honoring African American Women Mathematicians (MAA Press, 2019), Dr. Shelly Jones invites children, and their parents and educators, to immerse themselves in the lives and deeds of Black women mathematicians. The 29 profiles trace back to "the Firsts" in their fields, such as early PhD awardee Evelyn Boyd Granville; the "Pioneers" of emerging fields and programs, including ethnomathematics co-founder Gloria Gilmer; through "Unhidden Figures" like Dorothy Johnson Vaughan of recent biopic fame; and to "Contemporary Firsts" who are living, working, and opening new doors today. Along with their mathematical contributions, Dr. Jones shares details of these mathematicians' early lives, their hobbies and interests, and how they have been shaped by and in turn shaped their communities. Each mini-biography introduces a whole person whom readers new to mathematics can relate to and be inspired by. Each profile is accompanied by a pencil-and-paper activity that brings to life the some part of their story. Some are classics, including word searches and I-Spy, while others introduce readers to mathematical and educational concepts explored by their subjects—coloring tessellations, for example, or solving equations to decode messages. The text and activities are targeted to grades 3–8, and are ideal for elementary and middle school classrooms. In our conversation, Dr. Jones described how she conceived the book, assembled the stories and activities, and connected with illustrator Veronica Martins. I came away with a richer perspective on the state of the field for aspiring mathematicians—in addition to a perfect gift for my second-grade nephew. Suggested companion works: Mathematicians of the African Diaspora Mathematically Gifted and Black Mathematician Project Lathisms We are Indigenous Mathematicians Black Girl MATHgic Talitha Washington Dr. Shelly M. Jones is a Professor of Mathematics Education at Central Connecticut State University. She has been an educator for 30 years and currently teaches undergraduate mathematics content and methods courses for pre-service teachers as well as graduate level mathematics content, curriculum and STEM courses for in-service teachers. Dr. Jones serves her community by working with various professional and community organizations. You can see her CCSU TEDx talk on YouTube where she talks about culturally relevant mathematics. She is also a contributing author to The Brilliance of Black Children in Mathematics: Beyond the Numbers and Toward a New Discourse and co-author of Engaging in Culturally Relevant Math Tasks: Fostering Hope. Learn more about your ad choices. Visit megaphone.fm/adchoices

African-Americans and women are increasingly visible in professional mathematical institutions, organizations, and literature, expanding our mental models of the mathematics community. Yet early representation also matters: We begin building these models as soon as we begin seeing and doing mathematics, and they can be slow to adapt. In her wonderful activity book Women Who Count: Honoring African American Women Mathematicians (MAA Press, 2019), Dr. Shelly Jones invites children, and their parents and educators, to immerse themselves in the lives and deeds of Black women mathematicians. The 29 profiles trace back to "the Firsts" in their fields, such as early PhD awardee Evelyn Boyd Granville; the "Pioneers" of emerging fields and programs, including ethnomathematics co-founder Gloria Gilmer; through "Unhidden Figures" like Dorothy Johnson Vaughan of recent biopic fame; and to "Contemporary Firsts" who are living, working, and opening new doors today. Along with their mathematical contributions, Dr. Jones shares details of these mathematicians' early lives, their hobbies and interests, and how they have been shaped by and in turn shaped their communities. Each mini-biography introduces a whole person whom readers new to mathematics can relate to and be inspired by. Each profile is accompanied by a pencil-and-paper activity that brings to life the some part of their story. Some are classics, including word searches and I-Spy, while others introduce readers to mathematical and educational concepts explored by their subjects—coloring tessellations, for example, or solving equations to decode messages. The text and activities are targeted to grades 3–8, and are ideal for elementary and middle school classrooms. In our conversation, Dr. Jones described how she conceived the book, assembled the stories and activities, and connected with illustrator Veronica Martins. I came away with a richer perspective on the state of the field for aspiring mathematicians—in addition to a perfect gift for my second-grade nephew. Suggested companion works: Mathematicians of the African Diaspora Mathematically Gifted and Black Mathematician Project Lathisms We are Indigenous Mathematicians Black Girl MATHgic Talitha Washington Dr. Shelly M. Jones is a Professor of Mathematics Education at Central Connecticut State University. She has been an educator for 30 years and currently teaches undergraduate mathematics content and methods courses for pre-service teachers as well as graduate level mathematics content, curriculum and STEM courses for in-service teachers. Dr. Jones serves her community by working with various professional and community organizations. You can see her CCSU TEDx talk on YouTube where she talks about culturally relevant mathematics. She is also a contributing author to The Brilliance of Black Children in Mathematics: Beyond the Numbers and Toward a New Discourse and co-author of Engaging in Culturally Relevant Math Tasks: Fostering Hope. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/education

African-Americans and women are increasingly visible in professional mathematical institutions, organizations, and literature, expanding our mental models of the mathematics community. Yet early representation also matters: We begin building these models as soon as we begin seeing and doing mathematics, and they can be slow to adapt. In her wonderful activity book Women Who Count: Honoring African American Women Mathematicians (MAA Press, 2019), Dr. Shelly Jones invites children, and their parents and educators, to immerse themselves in the lives and deeds of Black women mathematicians. The 29 profiles trace back to "the Firsts" in their fields, such as early PhD awardee Evelyn Boyd Granville; the "Pioneers" of emerging fields and programs, including ethnomathematics co-founder Gloria Gilmer; through "Unhidden Figures" like Dorothy Johnson Vaughan of recent biopic fame; and to "Contemporary Firsts" who are living, working, and opening new doors today. Along with their mathematical contributions, Dr. Jones shares details of these mathematicians' early lives, their hobbies and interests, and how they have been shaped by and in turn shaped their communities. Each mini-biography introduces a whole person whom readers new to mathematics can relate to and be inspired by. Each profile is accompanied by a pencil-and-paper activity that brings to life the some part of their story. Some are classics, including word searches and I-Spy, while others introduce readers to mathematical and educational concepts explored by their subjects—coloring tessellations, for example, or solving equations to decode messages. The text and activities are targeted to grades 3–8, and are ideal for elementary and middle school classrooms. In our conversation, Dr. Jones described how she conceived the book, assembled the stories and activities, and connected with illustrator Veronica Martins. I came away with a richer perspective on the state of the field for aspiring mathematicians—in addition to a perfect gift for my second-grade nephew. Suggested companion works: Mathematicians of the African Diaspora Mathematically Gifted and Black Mathematician Project Lathisms We are Indigenous Mathematicians Black Girl MATHgic Talitha Washington Dr. Shelly M. Jones is a Professor of Mathematics Education at Central Connecticut State University. She has been an educator for 30 years and currently teaches undergraduate mathematics content and methods courses for pre-service teachers as well as graduate level mathematics content, curriculum and STEM courses for in-service teachers. Dr. Jones serves her community by working with various professional and community organizations. You can see her CCSU TEDx talk on YouTube where she talks about culturally relevant mathematics. She is also a contributing author to The Brilliance of Black Children in Mathematics: Beyond the Numbers and Toward a New Discourse and co-author of Engaging in Culturally Relevant Math Tasks: Fostering Hope. Learn more about your ad choices. Visit megaphone.fm/adchoices

Alex Kontorovich is a Professor of Mathematics at Rutgers University and served as the Distinguished Professor for the Public Dissemination of Mathematics at the National Museum of Mathematics in 2020–2021. Alex has received numerous awards for his illustrious mathematical career, including the Levi L. Conant Prize in 2013 for mathematical exposition, a Simons Foundation Fellowship, an NSF career award, and being elected Fellow of the American Mathematical Society in 2017. He currently serves on the Scientific Advisory Board of Quanta Magazine and as Editor-in-Chief of the Journal of Experimental Mathematics. In this episode, Alex takes us from the ancient beginnings to the present day on the subject of circle packings. We start with the Problem of Apollonius on finding tangent circles using straight-edge and compass and continue forward in basic Euclidean geometry up until the time of Leibniz whereupon we encounter the first complete notion of a circle packing. From here, the plot thickens with observations on surprising number theoretic coincidences, which only received full appreciation through the craftsmanship of chemistry Nobel laureate Frederick Soddy. We continue on with more advanced mathematics arising from the confluence of geometry, group theory, and number theory, including fractals and their dimension, hyperbolic dynamics, Coxeter groups, and the local to global principle of advanced number theory. We conclude with a brief discussion on extensions to sphere packings. Patreon: http://www.patreon.com/timothynguyen I. Introduction 00:00: Biography 11:08: Lean and Formal Theorem Proving 13:05: Competitiveness and academia 15:02: Erdos and The Book 19:36: I am richer than Elon Musk 21:43: Overview II. Setup 24:23: Triangles and tangent circles 27:10: The Problem of Apollonius 28:27: Circle inversion (Viette's solution) 36:06: Hartshorne's Euclidean geometry book: Minimal straight-edge & compass constructions III. Circle Packings 41:49: Iterating tangent circles: Apollonian circle packing 43:22: History: Notebooks of Leibniz 45:05: Orientations (inside and outside of packing) 45:47: Asymptotics of circle packings 48:50: Fractals 50:54: Metacomment: Mathematical intuition 51:42: Naive dimension (of Cantor set and Sierpinski Triangle) 1:00:59: Rigorous definition of Hausdorff measure & dimension IV. Simple Geometry and Number Theory 1:04:51: Descartes's Theorem 1:05:58: Definition: bend = 1/radius 1:11:31: Computing the two bends in the Apollonian problem 1:15:00: Why integral bends? 1:15:40: Frederick Soddy: Nobel laureate in chemistry 1:17:12: Soddy's observation: integral packings V. Group Theory, Hyperbolic Dynamics, and Advanced Number Theory 1:22:02: Generating circle packings through repeated inversions (through dual circles) 1:29:09: Coxeter groups: Example 1:30:45: Coxeter groups: Definition 1:37:20: Poincare: Dynamics on hyperbolic space 1:39:18: Video demo: flows in hyperbolic space and circle packings 1:42:30: Integral representation of the Coxeter group 1:46:22: Indefinite quadratic forms and integer points of orthogonal groups 1:50:55: Admissible residue classes of bends 1:56:11: Why these residues? Answer: Strong approximation + Hasse principle 2:04:02: Major conjecture 2:06:02: The conjecture restores the "Local to Global" principle (for thin groups instead of orthogonal groups) 2:09:19: Confession: What a rich subject 2:10:00: Conjecture is asymptotically true 2:12:02: M. C. Escher VI. Dimension Three: Sphere Packings 2:13:03: Setup + what Soddy built 2:15:57: Local to Global theorem holds VII. Conclusion 2:18:20: Wrap up 2:19:02: Russian school vs Bourbaki Image Credits: http://timothynguyen.org/image-credits/

Edward Frenkel's latest book Love and Math, a New York Times bestseller, was named one of the Best Books of the year by both Amazon and iBooks, and won the Euler Book Prize from the Mathematical Association of America. The book reveals a side of math seldom seen, suffused with all the beauty and elegance of a work of art. Mathematics, he writes, directs the flow of the universe, lurks behind its shapes and curves, holds the reins of everything from tiny atoms to the biggest stars. Love and Math is also about accessing a new way of thinking, which empowers us to better understand the world and our place in it. It is an invitation to discover the hidden magic universe of mathematics. Edward Frenkel is Russian born and overcame a discriminatory educational system to become one of the twenty-first century's leading mathematicians. He is a professor of mathematics at the University of California, Berkeley, which he joined in 1997 after being on the faculty at Harvard University. He is a member of the American Academy of Arts and Sciences, a Fellow of the American Mathematical Society, and the winner of the Hermann Weyl Prize in mathematical physics. Frenkel has authored 3 books and over 90 scholarly articles in academic journals and is an electronic music aficionado. Frenkel's research is on the interface of mathematics and quantum physics, with an emphasis on the Langlands Program, which he describes as a Grand Unified Theory of mathematics. twitter.com/edfrenkel www.edwardfrenkel.com www.youtube.com/@edfrenkel Connect with Professor Keating:

In this episode, I welcomed Dr. Pamela E. Harris to the podcast to share her personal Math journey, life as a Latina in academia, the founding of Lathisms, the importance of increasing Latinx representation in Math education, and so much more! To learn more about Dr. Harris' work, you can visit her personal website at pamelaeharris.com or her company website at lathisms.org. You can also follow her on Twitter (@DPeharris). BIO: Dr. Pamela E. Harris is a Mexican-American mathematician and serves as Associate Professor in the Department of Mathematics and Statistics and Faculty Fellow of the Davis Center and the Office of Institutional Diversity, Equity, and Inclusion at Williams College. She received her B.S. from Marquette University, and M.S. and Ph.D. in mathematics from the University of Wisconsin-Milwaukee. Dr. Pamela E. Harris's research is in algebraic combinatorics and she is the author of over 50 peer-reviewed research articles in internationally recognized journals. An award winning mathematical educator, Dr. Harris was the 2020 recipient of the MAA Northeast Section Award for Distinguished College or University Teaching, the 2019 MAA Henry L. Alder Award for Distinguished Teaching by a Beginning College or University Mathematics Faculty Member, and the 2019 Council on Undergraduate Research Mathematics and Computer Sciences Division Early Career Faculty Mentor Award. She was also selected as a 2020 Inaugural Class of Karen Uhlenbeck EDGE Fellows and was one of 50 women featured in the book “Power in Numbers: The Rebel Women of Mathematics.” Her professional mission is to develop learning communities that reinforce students' self-identity as scientists, in particular for women and underrepresented minorities. In support of this mission, Dr. Harris co-organizes research symposia and professional development sessions for the national conference of the Society for the Advancement of Chicanos/Hispanics and Native Americans in Science (SACNAS), and is an editor of the e-Mentoring Network blog of the American Mathematical Society. Moreover, in order to provide visibility to and increase the positive impact of the role models within our community, Dr. Harris co-founded Lathisms.org, a platform that features the contributions of Latinx and Hispanic scholars in the Mathematical Sciences. She cohosts the podcast Mathematically Uncensored and has recently coauthored the books Asked And Answered: Dialogues On Advocating For Students of Color in Mathematics and Practices and Policies: Advocating for Students of Color in Mathematics.

Games are an established aide in pre-college mathematics education. Meanwhile, innumerable popular books have investigated the mathematics of games. In a new edited volume for the AMS/MAA Classroom Resource Materials Series, topologist and NSF educational program director Mindy Capaldi and contributors join advanced topics with innovative lesson designs in possibly the first book of game-based mathematics education for college curricula. Teaching Mathematics Through Games (MAA Press, 2020) comprises lesson material for the full breadth of coursework taken by math students involving just as diverse and often surprising a breadth of games. I've become interested in how edited collections come about, especially in mathematics, so i took some time at the start to ask Dr. Capaldi about the conception and production of this project. We then discussed a selection of six of the book's seventeen chapters that offer a sense of its scope and a taste of its value. To touch briefly on some chapters we did not discuss: Christine Latulippe use the combinatorial format of Sudoku and dates in the history of mathematics to practice converting between numeration systems; and Jacob Heidenreich adapts the game play of Battleship to hone students' understanding of properties of functions. In addition to a detailed description of game play and how it ties in to the topic, each chapter contains exercises, problems, or activities that build upon the core lesson, and an online supplement provides material to support the lessons in practice. The book is designed specifically for instructors and provides rich material for an active learning curriculum, but avid and curious gamers and math geeks will also find much to enjoy. Suggested companion works: MAA Instructional Practices Guide Gathering 4 Gardner Mindy Capaldi is an Associate Professor of Mathematics and Statistics at Valparaiso University in Indiana. She completed her Ph.D. at North Carolina State University in 2010 and is currently on a leave of absence as a Program Director at the National Science Foundation. Cory Brunson is an Assistant Professor at the Laboratory for Systems Medicine at the University of Florida. His research focuses on geometric and topological approaches to the analysis of medical and healthcare data. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/new-books-network

Games are an established aide in pre-college mathematics education. Meanwhile, innumerable popular books have investigated the mathematics of games. In a new edited volume for the AMS/MAA Classroom Resource Materials Series, topologist and NSF educational program director Mindy Capaldi and contributors join advanced topics with innovative lesson designs in possibly the first book of game-based mathematics education for college curricula. Teaching Mathematics Through Games (MAA Press, 2020) comprises lesson material for the full breadth of coursework taken by math students involving just as diverse and often surprising a breadth of games. I've become interested in how edited collections come about, especially in mathematics, so i took some time at the start to ask Dr. Capaldi about the conception and production of this project. We then discussed a selection of six of the book's seventeen chapters that offer a sense of its scope and a taste of its value. To touch briefly on some chapters we did not discuss: Christine Latulippe use the combinatorial format of Sudoku and dates in the history of mathematics to practice converting between numeration systems; and Jacob Heidenreich adapts the game play of Battleship to hone students' understanding of properties of functions. In addition to a detailed description of game play and how it ties in to the topic, each chapter contains exercises, problems, or activities that build upon the core lesson, and an online supplement provides material to support the lessons in practice. The book is designed specifically for instructors and provides rich material for an active learning curriculum, but avid and curious gamers and math geeks will also find much to enjoy. Suggested companion works: MAA Instructional Practices Guide Gathering 4 Gardner Mindy Capaldi is an Associate Professor of Mathematics and Statistics at Valparaiso University in Indiana. She completed her Ph.D. at North Carolina State University in 2010 and is currently on a leave of absence as a Program Director at the National Science Foundation. Cory Brunson is an Assistant Professor at the Laboratory for Systems Medicine at the University of Florida. His research focuses on geometric and topological approaches to the analysis of medical and healthcare data. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Games are an established aide in pre-college mathematics education. Meanwhile, innumerable popular books have investigated the mathematics of games. In a new edited volume for the AMS/MAA Classroom Resource Materials Series, topologist and NSF educational program director Mindy Capaldi and contributors join advanced topics with innovative lesson designs in possibly the first book of game-based mathematics education for college curricula. Teaching Mathematics Through Games (MAA Press, 2020) comprises lesson material for the full breadth of coursework taken by math students involving just as diverse and often surprising a breadth of games. I've become interested in how edited collections come about, especially in mathematics, so i took some time at the start to ask Dr. Capaldi about the conception and production of this project. We then discussed a selection of six of the book's seventeen chapters that offer a sense of its scope and a taste of its value. To touch briefly on some chapters we did not discuss: Christine Latulippe use the combinatorial format of Sudoku and dates in the history of mathematics to practice converting between numeration systems; and Jacob Heidenreich adapts the game play of Battleship to hone students' understanding of properties of functions. In addition to a detailed description of game play and how it ties in to the topic, each chapter contains exercises, problems, or activities that build upon the core lesson, and an online supplement provides material to support the lessons in practice. The book is designed specifically for instructors and provides rich material for an active learning curriculum, but avid and curious gamers and math geeks will also find much to enjoy. Suggested companion works: MAA Instructional Practices Guide Gathering 4 Gardner Mindy Capaldi is an Associate Professor of Mathematics and Statistics at Valparaiso University in Indiana. She completed her Ph.D. at North Carolina State University in 2010 and is currently on a leave of absence as a Program Director at the National Science Foundation. Cory Brunson is an Assistant Professor at the Laboratory for Systems Medicine at the University of Florida. His research focuses on geometric and topological approaches to the analysis of medical and healthcare data. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/education

To say that event A causes event B is to not only make a claim about our actual world, but about other possible worlds — in worlds where A didn't happen but everything else was the same, B would not have happened. This leads to an obvious difficulty if we want to infer causes from sets of data — we generally only have data about the actual world. Happily, there are ways around this difficulty, and the study of causal relations is of central importance in modern social science and artificial intelligence research. Judea Pearl has been the leader of the “causal revolution,” and we talk about what that means and what questions remain unanswered.Support Mindscape on Patreon.Judea Pearl received a Ph.D. in electrical engineering from the Polytechnic Institute of Brooklyn. He is currently a professor of computer science and statistics and director of the Cognitive Systems Laboratory at UCLA. He is a founding editor of the Journal of Causal Inference. Among his awards are the Lakatos Award in the philosophy of science, The Allen Newell Award from the Association for Computing Machinery, the Benjamin Franklin Medal, the Rumelhart Prize from the Cognitive Science Society, the ACM Turing Award, and the Grenander Prize from the American Mathematical Society. He is the co-author (with Dana MacKenzie) of The Book of Why: The New Science of Cause and Effect.Web siteGoogle Scholar publicationsWikipediaAmazon author pageTwitterSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

In questo audio il prezioso incontro con Loris Cecchini artista e Gigliola Staffilani matematica.L'intervista con Loris Cecchini e Gigliola Staffilani è nel progetto Contemporaneamente a cura di Mariantonietta Firmani, il podcast pensato per Artribune. In Contemporaneamente podcast trovate incontri tematici con autorevoli interpreti del contemporaneo tra arte e scienza, letteratura, storia, filosofia, architettura, cinema e molto altro. Per approfondire questioni auliche ma anche cogenti e futuribili. Dialoghi straniati per accedere a nuove letture e possibili consapevolezze dei meccanismi correnti: tra locale e globale, tra individuo e società, tra pensiero maschile e pensiero femminile, per costruire una visione ampia, profonda ed oggettiva della realtà.Con Loris Cecchini e Gigliola Staffilani parliamo di arte e matematica, di studio e curiosità, equazioni e rappresentazioni. Di incrocio di saperi e di linguaggi, di algoritmi e spazi euclidei, di relazioni umane sincere oltre le torri d'avorio. Ed ancora, parliamo di matematica, eccessivamente astratta in Italia, ricondotta sempre al reale in USA, e di paradosso ponte per raggiungere il pubblico. Parliamo di come la somma di onde lineari genera fenomeni non lineari, e del Machine Learning che funziona benissimo ma nessuno sa perché. Di opere pubbliche e di lusso che è nella qualità intrinseca delle cose. La matematica non è obiettiva, eppure importante per comprendere il linguaggio e la realtà, e molto altro.ASCOLTA L'INTERVISTA! BREVI NOTE BIOGRAFICHE DEGLI AUTORI Gigliola Staffilani dal 2007 Abby Rockfeller Mauze Professor of Mathematics al Massachusetts Institute of Technology. Laurea in matematica dalla Università di Bologna nel 1989. Alla University of Chicago consegue Master in scienze nel 1991 e dottorato di ricerca nel 1999.Dopo aver fatto parte del corpo docente della Stanford, Princeton e Brown University, approda al MIT Massachusetts Institute of Technology. Professore associato nel 2002 e ordinario dal 2006.Tra le diverse onoreficenze e premi ricevuti si contano: Sloan fellowship nel 2000, membro dell'IAS di Princeton nel 1996 e 2003. Membro del Radcliffe Institute della Harvard University nel 2010Guggenheim fellowship e Simons Fellowship in Mathematics nel 2017.Elezione alla Massachusetts Academy of Science e fellow della American Mathematical Society nel 2013. Membro eletto dell'American Academy of Arts and Sciences nel 2014, e infine membro eletto della National Academy of Sciences nel 2021. Loris Cecchini Artista italiano tra i più autorevoli sulla scena internazionale vive e lavora a Milano.Espone in tutto il mondo Francia, America, Cina, Spagna, Germania, Italia. Mostre personali in prestigiosi musei come: Palais de Tokyo Parigi, Musée d'Art Moderne de Saint-Étienne Métropole a Saint-Priest-en- Jarez. MoMA PS1 di New York. Shanghai Duolun MoMA di Shanghai, Museo Casal Solleric di Palma di Maiorca, Centro Galego de Arte Contemporánea di Santiago de Compostela, Kunstverein di Heidelberg. Centro per l'Arte Contemporanea Luigi Pecci di Prato e Fondazione Arnaldo Pomodoro di Milano, e molti altri.Trasferito a Berlino nel 2005, vive la grande democraticità e contaminazione di tutte le arti, con l'Associazione Peninsula, attiva connessioni tra artisti di diverse nazionalità. Invitato in molteplici edizioni nelle più autorevoli rassegne internazionali, tra cui la 56a, 51a e 49a Biennale di Venezia, 6a e 9a Biennale di Shanghai. Ed anche, 15a e 13a Quadriennale di Roma, Biennale di Taiwan a Taipei, Biennale di Valencia Spagna, Biennale di Urbanistica /Architettura (UABB) a Shenzhen, Cina.Presente anche in autorevoli mostre collettive, tra cui mostre al Ludwig Museum di Colonia, PAC a Milano, Palazzo Fortuny a Venezia, Macro Future a Roma. Espone anche la MART a Rovereto, Hayward Gallery di Londra, The Garage Centre for Contemporary Culture di Mosca , Palazzo delle Esposizioni di Roma. Ed ancora, al Musée dʼArt Contemporain di Lione, MOCA di Shanghai, Deutsche Bank Kunsthalle di Berlino e altri.Realizza diverse installazioni permanenti e site specific, in particolare a Villa Celle a Pistoia e nel cortile di Palazzo Strozzi a Firenze. Alla Boghossian Foundation di Bruxelles e per il Cleveland Clinicʼs Arts & Medicine Institute negli Stati Uniti. Sue opere permanenti anche a Les Terrasses Du Port Marsiglia, allo Shinsegae Hanam Starfield di Seoul e al Cornell Tech Building di New York.

"Do you want to be great or do you want to be comfortable?" Advocate for your needs. Be proactive. Build a support system. Take risks. Push yourself to do great things. In today's interview, Shanise Walker, Assistant Professor of Mathematics at the University of Wisconsin-Eau Claire, shares inspiring and practical advice for math students about how to advocate for themselves and set themselves up for success in math. Shanise is a first-generation college student, who earned B.S. in Mathematics from UGA and Ph.D. in Mathematics from Iowa State University.  Her research interests lie in extremal combinatorics and graph theory and she is active in service to the mathematical profession related to equity, diversity, and inclusion (EDI).  Allison and Shanise discuss: How Shanise fell in love with Math [3.15] Being proactive and having a plan [5.54] Shanise talks about her blog in the American Mathematical Society [10.18] Having a spectrum of support system [16.20] If you are doing Math Majors, take up English courses[21.55]   Check out Shanise's blog: https://blogs.ams.org/livingproof/2021/09/14/how-challenging-experiences-led-me-to-pursue-a-phd-in-mathematics-by-shanise-walker/ Connect with Shanise: walkersg@uwec.edu   Connect with Allison Website: https://www.allisonlovesmath.com/  Facebook: https://www.facebook.com/AllisonLovesMath Instagram: https://www.instagram.com/allisonlovesmath Twitter: https://twitter.com/AllisonLuvsMath  Allison's Books Raise your Math Grade: Get this FREE short book, which is a toughen-up math manifesto mixed with you-can-do-it enthusiasm. It is an open educational resource, meaning you can share it freely with friends, students, and colleagues.  Crush Math Now:  Order this best-selling Amazon book! It is a study guide packed with all the advice Allison has given students over the years on math mindset, study skills, and test-taking strategies. Love Math Journal: Get this growth mindset journal to help 4th-8th grade students to succeed in and love math. This journal is co-authored by Allison and Nicole Thomson, who had been on Episode# 44 Using Gratitude to Help Students Overcome Math

Aldo talks to Conrad Wolfram about why he feels he is in a unique central position to spread the word on radically changing the way we teach and learn Mathematics.    Guest Introduction:    Throughout my career as an edtech builder and working with teachers & students over the globe, I have spoken to many people who feel that things need to be done differently in Education. Some demand drastic changes while others say that small, incremental alterations will eventually lead to a new re-energised process of teaching and learning.    The people I speak to, some of them have been guests on this podcast, are often holistic thinkers and speak about overall systemic changes and new approaches to education but my next guest has good reasons to get very specific and change the way we teach and learn one subject that affects us all: Mathematics.    Conrad Wolfram has been working for decades on changing the way we teach and learn Mathematics in schools. In 2010 he founded ComputerBasedMathematics.org to end the disconnect between school mathematics and real life justifiably claiming that we should embrace computers more in the process.    In a variety of interviews & talks Wolfram advocates for us to ‘democratise experience' by making full use of the technology tools and automated computational thinking available to us.    “Computers put great automation levels between the mechanics of math, the calculating, and what you're trying to get done, too. When the automation gets good, you can go much further by doing it on the machine with a computer than you can by hand, and the subject of the mechanics of calculating becomes a distinct subject from using, applying, or doing math.” states Wolfram in an inspiring TED talk he held back in 2010.   In his 2020 book: ‘The Math(s) Fix: An Education Blueprint for the AI Age' Wolfram exposes why maths education is in a global crisis, and how the only fix is a fundamentally new mainstream subject.    “After more than 15 years of conceptualising the idea, 10 years of build-out and 2 years of writing and editing” Conrad Wolfram published the book in June last year.    The Math(s) Fix' does not only identify the problem and aligning complaints, but also suggests a clear alternative outlining a four-step process that can be used across the curriculum: define the questions, abstract them to computable form, compute answers, and interpret results.   The book was very warmly received and even won an Independent Press Award in Education earlier this year.    Seemingly Conrad was born into critical, independent, abstract thinking as both his parents were writers. His mother Sybil Wolfram was a Fellow & Tutor in Philosophy at Lady Margaret Hall at the University of Oxford and his brother Stephen is a well-known physicist, mathematician and computer scientist who (among others) became a fellow of the American Mathematical Society in 2012.    Conrad holds Masters degrees in Natural Sciences and Mathematics from Cambridge University and founded the company Wolfram Research Europe Ltd. in 1991.    Together with his brother, Conrad has also been shaping up the company Wolfram Research since 1996.    Among many other things, Conrad has led the effort within this company to move the use of its flagship product called ‘Mathematica' from a pure computation system to a development and deployment engine.    Needless to say that for this interview I am in the company of a great mind that I am dying to pick for ideas on Maths Education Reform.    A very warm welcome to you Conrad!   You can find out more about Conrad's book here: https://www.computerbasedmath.org/the-maths-fix   And find helpful resources here: https://www.wolfram.com/wolfram-u/catalog/computational-thinking/

Today we have an exciting conversation with Dr. Erica Flapan, the editor in chief of the Notices of the American Mathematical Society, the official magazine of the society that is distributed to more than 30,000 colleagues every month. Erica earned her Ph.D. from the University of Madison Wisconsin and served on the faculty at Pomona College for 32 years . While there, she authored and co-authored several books, the titles of two of them show her breadth as a mathematician, When Topology Meets Chemistry and Number Theory: A Lively Introduction with Proofs, Applications, and stories. The Mathematical Association of America has recognized Erica's teaching with the Haimo Award and the Association for Women in Mathematics celebrated her outstanding mentorship of women with the M. Gweneth Humphreys award. In this conversation, you will hear about the power of a personal refrain, the role of a supportive family, and the importance of discovering and leveraging personal skills. So, please join us as we talk with Dr. Erica Flapan.Pomona College webpage: https://pages.pomona.edu/~elf04747/AMS announcement of Erica Flapan as Notices Editor: http://www.ams.org/news?news_id=4010Erica's book, Knots, Molecules, and the Universe: An Introduction to Topology: https://bookstore.ams.org/mbk-96

Connect with Mathematically Uncensored:Email: mu@minoritymath.orgTwitter: @MathUncensoredWebsite: minoritymath.org/mathematically-uncensored

Operations research, analytics, data science, and other related disciplines enable individuals and organizations to transform data into insights that facilitate better, more informed decision-making in order to save lives, save money, and solve problems. And in no place is informed decision-making more important than at the highest levels within the U.S. government, where every day policymakers are making decisions and shaping policy that will impact our day-to-day lives. But how can we ensure that the individuals making these important decisions have the tools or awareness they need? By connecting them with resources and people who are knowledgeable about O.R. and analytics. Over the past several years, the INFORMS advocacy program has focused on elevating the work and expertise of INFORMS members and, positioning them as subject matter experts in the national media and the policy ecosystem surrounding the federal government in Washington, DC. As part of this ongoing effort, INFORMS collaborates with other professional associations and societies to extend its reach and impact. This includes the American Association for the Advancement of Science (AAAS), whose Science & Technology Policy Fellowships, known as the STPF program, provide opportunities to outstanding scientists and engineers to learn first-hand about policymaking while contributing their knowledge and analytical skills to the federal policymaking process. For this episode I am pleased to welcome two fellows in the STPF program, Rachel Levy, a Science and Engineering Fellow in the Senate sponsored by the American Mathematical Society, and Regina Pope-Ford, a AAAS Science and Technology Policy Fellow at the National Science Foundation in the Engineering Directorate's Engineering Education and Centers Division.

This week, I interview Catherine Roberts, Executive Director of The American Mathematical Society and Math Professor at College of the Holy Cross, about the far-reaching impact her liberal arts education from Bowdoin College has had on her research, teaching, and career. In this episode, Catherine shares:  The many ways communication skills relate to math How her liberal arts degree aided her in her research on water rafting in the Grand Canyon How the language we use to teach subtraction in elementary school relates to higher levels of math The different ways teaching Calculus changed during the Calculus Reform Movement The goals and benefits of the American Mathematical Society (which you MUST check out!) Learn more about Catherine Roberts and the American Mathematical Society at ams.org. Get Allison's Inspire Your Students to Love Math Starter Kit at allisonlovesmath.com.

Just in time for the holidays, Andy and Dave look back and some of the more memorial AI-related stories from 2020. They begin with the passing of mathematician John Conway, creator of The Game of Life, who died in April at 82 from complications due to COVID-19; Andy and Dave will talk more about The Game of Life in next week’s podcast. With an example of how not to use AI, in July, the International Baccalaureate Educational Foundation turned to machine learning algorithms to predict student grades, due to COVID-related cancelations of actual testing, much to the frustration of numerous students and parents. Also in July, over 1400 mathematicians signed and delivered a letter to the American Mathematical Society, urging researchers to stop working on predictive-policing algorithms. In September, Elon Musk demonstrated the latest iteration of Neuralink, complete with pig implantees. And finally, Andy and Dave examine the GPT family algorithms with a discussion on GPT-2 and GPT-3. Click here to visit our website and explore the links mentioned in the episode.   

John Ewing talks with me about Math for America (MFA), Teaching Challenges, and Teacher Support. This is episode 334 of Teaching Learning Leading K12, an audio podcast. John Ewing joined MƒA (Math for America) in early 2009 as President. Before joining MƒA, Ewing served as Executive Director of the American Mathematical Society for nearly 14 years. With a staff of over 200 employees in four offices and over 32,000 members, the AMS is a major publisher of mathematics research and the largest mathematics research society in the world.  John previously was professor of mathematics at Indiana University from 1973-1995, where he also served as Chair of the department for two terms. He has held visiting positions in the mathematics departments of Dartmouth College, the University of Virginia, the Newcastle University, and Göttingen University. In addition to his research work, John has been active in mathematical exposition, both as writer and editor, winning several national awards. In recent years, he has also written extensively on scholarly and electronic publishing. In 1966, John Ewing received his B.S. from St. Lawrence University, which also awarded him an honorary degree in 1996, and received his M.S. and Ph.D. from Brown University in 1971. Today we are going to talk about Remote Teaching Resources. Lots to learn today. Thanks for listening. Don't forget to share and subscribe. Enjoy! Connect and Learn More: https://www.mathforamerica.org/about/team/john-ewing https://www.mathforamerica.org/ https://www.mathforamerica.org/remoteteaching https://www.youtube.com/user/mathforamerica https://www.facebook.com/mathforamerica/ https://twitter.com/MathforAmerica Length - 43:38

Stephen Wolfram is a British-American computer scientist, theoretical physicist, and businessman. He is also known for his work in mathematics. In 2012, he was named an inaugural fellow of the American Mathematical Society. In this episode of the InfoQ podcast Charles Humble talks to him about Wolfram Language, its origins and the influences on its creation. In a wide-ranging discussion they also cover the ergonomics of programming languages; Wolfram|Alpha’s integration with Siri, Alexa, and the upcoming integration with Microsoft Excel; how ideas from physics, such as reference frames, may be useful for distributed systems programming; and live streaming language design discussions via Twitch. Listen to the podcast for more. Curated transcript and more information on the https://bit.ly/32F7RtR Follow us on Facebook, Twitter, LinkedIn, Youtube: @InfoQ Follow us on Instagram: @infoqdotcom Stay informed on emerging trends, peer-validated early adoption of technologies, and architectural best practices. Subscribe to The Software Architects’ Newsletter: www.infoq.com/software-architects-newsletter/

Emlyn tells Emma about the cryptanalyst and numismatist Joan Clarke, who worked as a codebreaker for the British army during WWII.    Learn more about us and other women in science at our website www.stemfatalepodcast.com    Sources Main Story - Joan Clarke “Joan Clarke, woman who cracked Enigma cyphers with Alan Turing” by Joe Miller , BBC News. https://www.bbc.com/news/technology-29840653 “100 years ago: Joan Clarke” by American Mathematical Society. https://www.ams.org/journals/notices/201703/rnoti-p252.pdf “The Enigma of Joan Clarke: Numismatist” by Heritage Editorial. https://blog.ha.co “Banburismus”, Wikipedia Article. https://en.wikipedia.org/wiki/Banburismus Women who Work  Wallace, KJ, York, JM. A systems change framework for evaluating academic equity and inclusion in an Ecology and Evolution Graduate Program. Ecol. Evol. 2020; 00: 1– 8. https://doi.org/10.1002/ece3.6817   Music  “Mary Anning” by Artichoke “Work” by Rihanna   Cover Image Original publication: Sykes, Christopher (Director) (1992). The Strange Life and Death of Dr. Turing (Videotape). London: BBC Videos for Education and Training. OCLC 36219490. Immediate source: http://www.bletchleyparkresearch.co.uk/waiting-for-joan-clarke/

In COVID-related AI news, Purdue University has built a website that tracks global response to social distancing, by pulling live footage and images from over 30,000 cameras in 100 countries. Simon Fong, Nilanjan Dey, and Jyotismita Chaki have published Artificial Intelligence for Coronavirus Outbreak, which examines AI’s contribution to combating COVID-19. Researchers at Harvard and Boston Children’s Hospital use a “regular” Bayesian model to identify COVID-19 hotspots over 14 days before they occur. In non-COVID AI news, the acting director of the JAIC announces a shift to enabling joint warfighting operations. The DoD Inspector General releases an Audit of Governance and Protection of DoD AI Data and Technology, which reveals a variety of gaps and weaknesses in AI governance across DoD. Detroit Police Chief James Craig reveals that the police department’s experience with facial recognition technology resulted in misidentified people about 96% of the time. Over 1400 mathematicians sign and deliver a letter to the American Mathematical Society, urging researchers to stop working on predictive-policing algorithms. DARPA awards the Meritorious Public Service Medal to Professor Hava Siegelmann for her creation and research in the Lifelong Learning Machines Program. And Horace Barlow, one of the founders of modern visual neuroscience, passed away on 5 July at the age of 98. In research, Udrescu and Tegmark release AI Feynman 2.0, with unsupervised learning of equations of motion by viewing objects in raw and unlabeled video. Researchers at CSAIL, NVidia, and the University of Toronto create the Visual Causal Discovery Network, which learns to recognize underlying dependency structures for simulated fabrics, such as shirts, pants, and towels. In reports, the Montreal AI Ethics Institute publishes its State of AI Ethics. In the video of the week, Max Tegmark discusses the previously mentioned research on equations of motion, and also discusses progress in symbolic regression. And GanBreeder upgrades to ArtBreeder, which can create realistic-looking images from paintings, cartoons, or just about anything. Click here to visit our website and explore the links mentioned in the episode. 

When Nicolas Bourbaki applied to the American Mathematical Society in the 1950s, he was already one of the most influential mathematicians of his time. He'd published articles in international journals and his textbooks were required reading. Yet his application was firmly rejected for one simple reason: Nicolas Bourbaki did not exist. How is that possible? Pratik Aghor digs into the mystery. [Directed by Província Studio, narrated by Addison Anderson, music by Cem Misirlioglu / WORKPLAYWORK].

Join us virtually for a conversation with the engagingly clear Berkeley mathematics professor Edward Frenkel—a member of the American Academy of Arts and Sciences, a fellow of the American Mathematical Society, the winner of the Hermann Weyl Prize in mathematical physics, and the author of Love & Math, an international bestseller that has been published in 19 languages. As a starting point for this conversation, we will take Pythagoras's famous maxim “all is number.” Frenkel appears well-qualified to offer his opinion on this philosophical, perhaps even mystical, statement: he is one of the world leaders in the groundbreaking Langlands Program, considered by many as a kind of Grand Unified Theory of math and quantum physics. His work, Frenkel says, can help us find order in apparent chaos and point to something rich and mysterious lurking beneath the surface, glimpses of hidden structures underlying the Universe. Yet, Frenkel also sees limits to math's ability to explain our lives. There are, of course, those who think math has no limits, that if only we knew all the right equations and algorithms, we could replicate life, or merge into an undying singularity. Frenkel disagrees with that, and moreover says that math itself can prove that it has inherent limitations. Join us as we ponder the big question: “What's math got to do with it?” MLF Organizer: George Hammond MLF: Humanities Learn more about your ad choices. Visit megaphone.fm/adchoices

Mathematics is everywhere. We use numbers, quantities, values and measurements almost all the time. Counting and quantifying is part of almost everything that we do. An interesting question is how did it all start. When did humans start thinking mathematically and what is the origin of mathematical thinking. As we start tacking these questions, we stumble upon few more queries: how did our brain evolve to do mathematics; what are fundamental capacities that enable humans to do mathematical thinking; what are major milestones in the evolution of mathematical thinking and in the history of mathematical innovations; is mathematics discovered or is it invented. I invited Dr Keith Devlin to join me in this episode of Bridging the Gaps for a discussion that focuses on these questions. Dr Keith Devlin is the director of the Stanford Mathematics outreach project at Stanford University. His current research is focused on the use of different media to teach and communicate mathematics to diverse audiences. He has written 33 books and over 80 research articles. He is a World Economic Forum Fellow, a Fellow of the American Association for the Advancement of Science, and a Fellow of the American Mathematical Society.

On this episode of Macalester Big Questions, Karen Saxe sits down with President Brian Rosenberg to discuss her work with the census in Minnesota, and the mathematics behind redistricting. Saxe is the DeWitt Wallace Professor Emerita in the Department of Mathematics, Statistics, and Computer Science, and now the Director of the Office of Government Relations at the American Mathematical Society.Support the show (https://secure.macalester.edu/giving/)

Welcome back, we have another fun episode for you all this week. First up we have an absolute idiot in Russia insulting adult comic book readers. Now, we must apologise for the response to this segment, we Nerds love our comics and really enjoy reading them. As fans we love the artwork, the complexity of the stories, the downright fun of it all, and the insane gadgets that end up becoming a reality. Although we are still waiting to see the Fantastic 4’s flying car. Now things get heated in this as you might expect, but wow, you will love this. Would you like to learn more?Next up we have Australian Dragons and their last surviving cousins living overseas. For all those people who have decided to live abroad after they finish university you aren’t the first. Oh no, not even close. You are a few thousand years behind these guys. Now as typical Aussies they like to relax over a nice steak; enjoy a bit of time in the sun, and when they get angry fighting like a legend. Just in case you are wondering who we are talking about it is the, yeah nah. You will need to listen in to find out.Do you wish you could go play certain games you had on an old phone but are having trouble finding it? Perhaps it is a game on a friend’s phone and no matter how hard you look you just never seem to know where they got it from. Well things are about to get worse, because Infinity Blade are no longer supporting some of their games. So, better check out what this means for that bundle of games you have in your library and read those acknowledged agreements and game licences. Are you freaking out? Well listen in to find out what is happening before it is too late.As usual we have the shout outs, remembrances, birthdays and special events of interest. We would like to say thank you to all the awesome fire fighters battling the numerous bush fires raging around Australia. For all those people who have lost homes, businesses, jobs and all those things that make a life we hope you are safe. As always, stay safe, look out for each other and stay hydrated.EPISODE NOTES:Russian Politician vs adult comic book reader - https://www.bleedingcool.com/2019/09/08/russian-minister-of-culture-vladimir-medinsky-calls-adult-comic-book-readers-morons/Komodo Dragons - https://www.insidescience.org/news/how-last-dragons-survived-extinctionApp Archiving- https://www.reddit.com/r/Games/comments/d1eys0/are_infinity_blade_games_no_longer_available_to/- https://support.apple.com/en-au/HT208436Games currently playingDJ- Warframe - https://store.steampowered.com/app/230410/Warframe/Professor– Space Run - https://store.steampowered.com/app/275670/Space_Run/Buck– The Orville Interactive Fan Experience - https://store.steampowered.com/app/1096200/The_Orville__Interactive_Fan_Experience/Other topics discussedDisney Vs Disney Debates (TNC Podcast)- https://thatsnotcanon.com/disneyvsdisneypodcastJames Oliver Rigney Jr. aka Robert Jordan (American author of epic fantasy. He is best known for the Wheel of Time series, which comprises 14 books and a prequel novel.)- https://en.wikipedia.org/wiki/Robert_JordanGeorge Raymond Richard Martin aka George R. R. Martin (American novelist and short story writer in the fantasy,horror, and science fiction genres, screenwriter, and television producer. He is best known for his series of epic fantasy novels, A Song of Ice and Fire, which was adapted into the HBO series Game of Thrones)- https://en.wikipedia.org/wiki/George_R._R._MartinBerserk (Japanese manga series written and illustrated by Kentaro Miura.)- https://en.wikipedia.org/wiki/Berserk_(manga)Ouran High Host Club (manga series by Bisco Hatori.)- https://en.wikipedia.org/wiki/Ouran_High_School_Host_ClubThe Phantom (American adventure comic strip, first published by Lee Falk in February 1936)- https://en.wikipedia.org/wiki/The_PhantomWynonna Earp (weird West comic book miniseries created and owned by Beau Smith.)- https://en.wikipedia.org/wiki/Wynonna_EarpThe Boys (American comic book series, written by Garth Ennis and co-created, designed, and illustrated by Darick Robertson)- https://en.wikipedia.org/wiki/The_Boys_(comics)Hack/Slash (comic book series, launched from several one shots of the same name, published by Image Comics. The series was created by writer and sometime penciller Tim Seeley.)- https://en.wikipedia.org/wiki/Hack/SlashThe Punisher (fictional character appearing in American comic books published by Marvel Comics.)- https://en.wikipedia.org/wiki/PunisherJoker star Marc Maron blasts outraged Marvel fans- https://www.cinemablend.com/news/2478614/joker-star-marc-maron-blasts-outraged-marvel-fans-after-superhero-movie-backlashParthenogenesis (natural form of asexual reproduction in which growth and development of embryos occur without fertilization.)- https://en.wikipedia.org/wiki/ParthenogenesisQUT joins top 200 universities worldwide- https://www.brisbanetimes.com.au/national/queensland/qut-joins-global-elite-universities-in-new-rankings-20190911-p52qdd.htmlSwedish scientist suggests cannibalism as a solution to climate change- https://futurism.com/the-byte/scientist-cannibalism-climate-changeKomodo Dragons (also known as the Komodo monitor, is a species of lizard found in the Indonesian islands of Komodo, Rinca, Flores, and Gili Motang)- https://en.wikipedia.org/wiki/Komodo_dragonCan cats live on a vegan diet- https://www.petmd.com/blogs/thedailyvet/lorieahuston/2014/june/vegan-diets-cats-31822What happens to feeding your pet a vegan diet- https://www.abc.net.au/news/2019-04-07/can-your-pet-become-vegan/10969616Komodo Dragon facts- https://www.livescience.com/27402-komodo-dragons.htmlNintendo sues RomUniverse for copyright infringement- https://www.businessinsider.com.au/nintendo-sues-romuniverse-copyright-infringement-claims-2019-9?r=US&IR=THow to play iPod games on PC- https://itstillworks.com/play-ipod-games-pc-7715671.htmlFlappy Bird (mobile game developed by Vietnamese video game artist and programmer Dong Nguyen under his game development company dotGears.)- https://en.wikipedia.org/wiki/Flappy_BirdPrince of Persia (1989 fantasy cinematic platformer originally developed and published by Brøderbund and designed by Jordan Mechner for the Apple II.)- https://en.wikipedia.org/wiki/Prince_of_Persia_(1989_video_game)Accursed Farms (YouTube channel)- Channel - https://www.youtube.com/channel/UCJ6KZTTnkE-s2XFJJmoTAkw- Games as a service is a fraud - https://www.youtube.com/watch?v=tUAX0gnZ3NwFallout 76 charging $7 for a fridge and people are not happy- https://www.gamesradar.com/fallout-76-players-arent-happy-about-being-charged-dollar7-for-a-fridge/Warframe market- https://warframe.fandom.com/wiki/MarketReplicator (In Star Trek a replicator is a machine that can create (and recycle) things.)- https://en.wikipedia.org/wiki/Replicator_(Star_Trek)CBS kills Star Trek fan project- https://www.pcmag.com/news/364042/cbs-kills-star-trek-stage-9-fan-projectGirl gives birthday cake to Queensland Firefighters- https://cdn.discordapp.com/attachments/499154903701389312/621667655765721089/70147954_10157763711869669_3177814528142344192_n.pngBardot (Australian girl group which formed in 1999 on the Australian reality television series Popstars.)- https://en.wikipedia.org/wiki/Bardot_(Australian_band)The Nomad Soul (adventure game developed by Quantic Dream and published by Eidos Interactive.)- https://en.wikipedia.org/wiki/The_Nomad_SoulDr Zhivago (novel by Boris Pasternak, first published in 1957 in Italy.)- https://en.wikipedia.org/wiki/Doctor_Zhivago_(novel)Indian lunar lander falls silent- https://www.nationalgeographic.com/science/2019/09/india-chandrayaan-2-landing-attempt-moon-lunar-south-pole/You, Me, and a Poltergeist (TNC Podcast)- https://thatsnotcanon.com/ymaappodcastShoutouts8 Sept 1965 – The Monkees were born, a small ad in New York’s Daily Variety on this day attracted 437 young men interested in forming the world’s first "manufactured" boy band –The Monkees. It happened after young movie and TV director Bob Rafelson, looking for his big break, dreamt up a show about a struggling rock band. He ran a production company called Raybert with his business partner Bert Schneider, whose father was the head of Columbia Pictures. The TV division of Columbia agreed in 1965 to go ahead with the project. All that was then needed was a band – or, at least, “four insane boys” who could literally play the part. - https://www.onthisday.com/articles/hey-hey-were-the-monkees9 Sept 1999 – Sega Dreamcast was released in America, it was the first in the sixth generation of video game consoles, preceding Sony's PlayStation 2, Nintendo's GameCube and Microsoft's Xbox. The Dreamcast was Sega's final home console, marking the end of the company's 18 years in the console market. - https://en.wikipedia.org/wiki/Dreamcast9 Sept 1839 - English scientist and astronomer John Herschel takes 1st glass plate photograph, which still exists, and experimented with some colour reproduction, noting that rays of different parts of the spectrum tended to impart their own colour to a photographic paper. - https://en.wikipedia.org/wiki/John_Herschel11 Sept 2019 - Tribute to the firefighters - https://10daily.com.au/news/australia/a190911uqndh/a-tribute-to-our-amazing-firies-in-10-incredible-photos-20190911Remembrances7 Sept 2019 - Robert Axelrod also credited as Axel Roberts and Myron Mensah, American actor. He was primarily known for his voice work, which included Digimon, Cowboy Bebop and Space Pirate Captain Harlock, having started voice acting for the English-language versions of anime in 1980; providing the voice of Lord Zedd, the main antagonist of the Mighty Morphin Power Rangers; and Finster, the original Mighty Morphin Power Rangers monster maker. He also portrayed a Paul McCartney look-alike on the popular sitcom Family Matters, and later in his career appeared in several productions by comedy duo Tim & Eric. He died at the age of 70 in Los Angeles,California - https://en.wikipedia.org/wiki/Robert_Axelrod_(actor)9 Sept 1976 - Mao Zedong, also known as Chairman Mao, was a Chinese communist revolutionary who became the founding father of the People's Republic of China (PRC), which he ruled as the Chairman of the Communist Party of China from its establishment in 1949 until his death in 1976. Idelogically a Marxist–Leninist, his theories, military strategies, and political policies are collectively known as Maoism. A controversial figure, Mao is regarded as one of the most important and influential individuals in modern world history. He is also known as a political intellect, theorist, military strategist, poet, and visionary. Supporters credit him with driving imperialism out of China, modernising the nation and building it into a world power, promoting the status of women, improving education and health care, as well as increasing life expectancy as China's population grew from around 550 million to over 900 million under his leadership. Conversely, his regime has been called autocratic and totalitarian, and condemned for bringing about mass repression and destroying religious and cultural artifacts and sites. It was additionally responsible for vast numbers of deaths with estimates ranging from 30 to 70 million victims through starvation, prison labour and mass executions. He died from a heart attack at the age of 82 in Beijing - https://en.wikipedia.org/wiki/Mao_Zedong9 Sept 1997 - Burgess Meredith, American actor, director, producer, and writer. Active for more than six decades, Meredith has been called "a virtuosic actor" and "one of the most accomplished actors of the century". A lifetime member of the Actors Studio by invitation, he won several Emmys, was the first male actor to win the Saturn Award for Best Supporting Actor twice, and was nominated for two Academy Awards. He established himself as a leading man in Hollywood with critically acclaimed performances as George Milton in Of Mice and Men, Ernie Pyle in The Story of G.I. Joe, and the narrator ofA Walk in the Sun. Meredith was known later in his career for his appearances on The Twilight Zone and for portraying arch-villain The Penguin on the 1960s TV series Batman and boxing trainer Mickey Goldmill in the Rocky film series. For his performances in The Day of the Locust and Rocky, he received nominations for the Academy Award for Best Supporting Actor. He later starred in the comedy Foul Play and the fantasy film Clash of the Titans. He narrated numerous films and documentaries during his long career, including Twilight Zone: The Movie. He died from complications of Alzheimer's disease and melanoma at the age of 89 in Malibu, California - https://en.wikipedia.org/wiki/Burgess_MeredithFamous Birthdays9 Sept 1828 - Count Lev Nikolayevich Tolstoy, usually referred to in English as Leo Tolstoy, was a Russian writer who is regarded as one of the greatest authors of all time. He received multiple nominations for Nobel Prize in Literature every year from 1902 to 1906, and nominations for Nobel Peace Prize in 1901, 1902 and 1910, and his miss of the prize is a major Nobel prize controversy. he is best known for the novels War and Peace and Anna Karenina, often cited as pinnacles of realist fiction. He first achieved literary acclaim in his twenties with his semi-autobiographical trilogy, Childhood, Boyhood, and Youth, and Sevastopol Sketches, based upon his experiences in the Crimean War. Tolstoy's fiction includes dozens of short stories and several novellas such as The Death of Ivan Ilyich, Family Happiness, and Hadji Murad. He also wrote plays and numerous philosophical essays. In the 1870s Tolstoy experienced a profound moral crisis, followed by what he regarded as an equally profound spiritual awakening, as outlined in his non-fiction work A Confession. His literal interpretation of the ethical teachings of Jesus, centering on the Sermon on the Mount, caused him to become a fervent Christian anarchist and pacifist. Tolstoy's ideas on nonviolent resistance, expressed in such works as The Kingdom of God Is Within You, were to have a profound impact on such pivotal 20th-century figures as Mahatma Gandhi and Martin Luther King Jr. Tolstoy also became a dedicated advocate of Georgism, the economic philosophy of Henry George, which he incorporated into his writing, particularly Resurrection. He was born in Yasnaya Polyana, Tula Governorate - https://en.wikipedia.org/wiki/Leo_Tolstoy9 Sept 1890 - Colonel Harland David Sanders, American businessman, best known for founding fast food chicken restaurant chain Kentucky Fried Chicken (also known as KFC) and later acting as the company's brand ambassador and symbol. His name and image are still symbols of the company. The title 'colonel' was honorary – a Kentucky Colonel – not the military rank. Sanders held a number of jobs in his early life, such as steam engine stoker, insurance salesman and filling station operator. He began selling fried chicken from his roadside restaurant inNorth Corbin, Kentucky, during the Great Depression. During that time Sanders developed his "secret recipe" and his patented method of cooking chicken in a pressure fryer. Sanders recognized the potential of the restaurant franchising concept, and the first KFC franchise opened in South Salt Lake, Utah in 1952. When his original restaurant closed, he devoted himself full-time to franchising his fried chicken throughout the country. The company's rapid expansion across the United States and overseas became overwhelming for Sanders. In 1964, then 73 years old, he sold the company to a group of investors led by John Y. Brown Jr. and Jack C. Massey for $2 million ($16.2 million today). However, he retained control of operations in Canada, and he became a salaried brand ambassador for Kentucky Fried Chicken. He was born in Henryville, Indiana - https://en.wikipedia.org/wiki/Colonel_Sanders9 Sept 1953 - Janet Fielding, Australian actress, known for her role in the BBC science fiction television series Doctor Who as companion of the Fourth Doctor, and later of the Fifth Doctor,Tegan Jovanka. She made a guest appearance on Jim'll Fix It in a Doctor Who-related sketch alongside Colin Baker'sDoctor in 1985 (A Fix with Sontarans). She played Mel during Sylvester McCoy's audition for the part of the Seventh Doctor. She was born in Brisbane, Queensland - https://en.wikipedia.org/wiki/Janet_FieldingEvents of Interest9 Sept 1983 - Vitas Gerulaitis bets his house that Martina Navratilova can't beat 100th ranked male tennis player- https://www.onthisday.com/people/martina-navratilova- http://www.mertovstennisdesk.com/2013/10/14/the-most-famous-100-player-in-atp-history/9 Sept 2012 – The Indian space agency puts into orbit its heaviest foreign satellite yet, in a streak of 21 consecutive successful PSLV launches. The satellite known as SPOT 6 along with SPOT 7 form a constellation of Earth-imaging satellites designed to provide continuity of high-resolution, wide-swath data up to 2024. - https://en.wikipedia.org/wiki/SPOT_(satellite)#SPOT_6_and_SPOT_711 Sept 1940 - The American Mathematical Society met at Dartmouth College in Hanover, New Hampshire, a few hundred miles north of the building of Bell Labs in New York, where was the Complex Number Computer. George Stibitz arranged to have the computer connected by telephone lines (28-wire teletype cable) to a teletype unit installed there. The Complex Number Computer worked well, and there is no doubt it impressed those who used it. The meeting was attended by many of America's most prominent mathematicians, as well as individuals who later led important computing projects. The Dartmouth demonstration foreshadowed the modern era of remote computing, but remote access of this type was not repeated for another ten years. - https://history-computer.com/ModernComputer/Relays/Stibitz.htmlIntroArtist – Goblins from MarsSong Title – Super Mario - Overworld Theme (GFM Trap Remix)Song Link - https://www.youtube.com/watch?v=-GNMe6kF0j0&index=4&list=PLHmTsVREU3Ar1AJWkimkl6Pux3R5PB-QJFollow us onFacebook - https://www.facebook.com/NerdsAmalgamated/Twitter - https://twitter.com/NAmalgamatedSpotify - https://open.spotify.com/show/6Nux69rftdBeeEXwD8GXrSiTunes - https://itunes.apple.com/au/podcast/top-shelf-nerds/id1347661094RSS - http://www.thatsnotcanonproductions.com/topshelfnerdspodcast?format=rssGeneral EnquiriesEmail - Nerds.Amalgamated@gmail.com

Have you heard about magic squares? Who is better to solve the mystery of those fascinating mathematical designs than AnaMaria Perez, the best of category winner in Mathematics at this year’s ISEF. She proved the conditions necessary for symmetry, and corrected inconsistencies in previous work on magic squares. She took home: Mu Alpha Theta, National High School and Two-Year College Mathematics Honor Society’s First Award, National Security Agency Research Directorate’s Second Place Award, and the American Mathematical Society’s Certificate of Honorable Mention. AnaMaria has a heart for the world of science, she also mentors younger science fair students, and she has recently attended MIT’s Research Scientific Institute this summer. Take a few moments of science with us! www.instagram.com/dropthestempodcast/ Music Credit: www.purple-planet.com

Bill Shillito is the Director of Information Technology with the Georgia Council of Teachers of Mathematics. He holds a Master of Arts in Teaching Mathematics from Western Governors University and is currently a Master student in mathematics at Emporia State University.Bill was recently featured in an interview with the American Mathematical Society for his website: www.1dividedby0.com . You can also find his work at his blog www.solidangles.com and www.mathsub.comwww.sensemakesmath.comPODCAST: http://sensemakesmath.buzzsprout.com/TWITTER: @SenseMakesMathPATREON: https://www.patreon.com/sensemakesmathFACEBOOK: https://www.facebook.com/SenseMakesMathSTORE: https://sensemakesmath.storenvy.comSupport the show (https://www.patreon.com/sensemakesmath)

Alexander Diaz-Lopez is an Assistant Professor at Villanova University in Pennsylvania. He is the Co-Founder of both Lathisms and the DREAMS Program, the Associate Editor of Notices of the American Mathematical Society, the co-editor of the AMS PhD+Epsilon Blog, and the co-organizer of the Mid-Atlantic Algebra, Geometry, and Combinatorics workshop.Alex received his Ph.D. in 2013 from the University of Notre Dame under the supervision of Matthew Dyer. His research interests are in algebra and combinatorics; more specifically his research focuses on Coxeter groups, Representations of Hecke Algebras, and root systems of reflection systems.You can find his website here:https://sites.google.com/site/diazlopezalexander/We'd like to thank Alexander for being on our show "Meet a Mathematician" and for sharing his stories and perspective with us!www.sensemakesmath.comPODCAST: http://sensemakesmath.buzzsprout.com/TWITTER: @SenseMakesMathPATREON: https://www.patreon.com/sensemakesmathFACEBOOK: https://www.facebook.com/SenseMakesMathSTORE: https://sensemakesmath.storenvy.comSupport the show (https://www.patreon.com/sensemakesmath)

Dr. Lisette DePillis is the Norman F. Sprague Jr. Professor of Life Sciences, Professor of Mathematics, and Chair of the Department of Mathematics at Harvey Mudd College. Lisette is an applied mathematician. She creates mathematical models or structures to help describe questions in biology. In particular, Lisette has been working on building models to improve our understanding of diseases related to the human immune system, such as cancer. Her goal is to understand the genesis and dynamics of diseases as well as to discover improved and personalized treatment approaches. In her free time, Lisette plays piano, sings, dances, and reads for fun. She also enjoys spending time playing family games, visiting new places, going to movies, trying new restaurants, and going for walks outside with her husband and three daughters. They live up against the foothills in California, so they don’t have to walk far to be immersed in nature and see lots of wildlife. She received her PhD in mathematics from the University of California Los Angeles. Lisette was Director of the Harvey Mudd College Global Clinic Program prior to being elected department chair. Lisette has been recognized for her multidisciplinary research excellence with the Maria Goeppert-Mayer Distinguished Scholar Award from the Argonne National Laboratory. She is also a HERS-CBL Clare Boothe Luce Leadership in STEM Scholar and a Fellow of the American Mathematical Society. In our interview Lisette shared more about her life and work.

John Ewing joined MƒA in early 2009 as President. Before joining MƒA, Ewing served as Executive Director of the American Mathematical Society for nearly 14 years. With a staff of over 200 employees in four offices and over 32,000 members, the AMS is a major publisher of mathematics research and the largest mathematics research society in the world.   John Ewing previously was a professor of mathematics at Indiana University from 1973-1995, where he also served as Chair of the department for two terms. He has held visiting positions in the mathematics departments of Dartmouth College, the University of Virginia, the Newcastle University, and Göttingen University.   In addition to his research work, Ewing has been active in mathematical exposition, both as writer and editor, winning several national awards. In recent years, he has also written extensively on scholarly and electronic publishing. In 1966, Ewing received his B.S. from St. Lawrence University, which also awarded him an honorary degree in 1996, and received his M.S. and Ph.D. from Brown University in 1971.   John Ewing Show Highlights: The MƒA program and the community it produces Teachers choose their professional development plan How MƒA looks for teamwork (you know it when you DON’T see it) Bringing MƒA concepts back to your schools Changing what teaching “feels” like and how it’s perceived How MƒA engages school leaders Some steps school leaders can take to adopt the MƒA model   John Ewing Contact Info Website Twitter (@MathforAmerica) Buy the Better Leaders Better Schools Roadmap Show Some Love BECOME A PATRON OF THE SHOW FOR AS LITTLE AS $1/MONTH   DID YOU LIKE THE SHOW?  iTunes SUBSCRIBE HERE!   LEAVE A 5-STAR RATING AND REVIEW   Join my hybrid group coaching & leadership development community   Website :: Facebook :: Insta :: Twitter :: LinkedIn   SHOW SPONSORS: ORGANIZED BINDER Organized Binder is an evidence-based RTI2 Tier 1 universal level solution Focuses on improving executive functioning and non-cognitive skills Is in direct alignment with the Universal Design for Learning (UDL) framework Is an integral component for ensuring Least Restrictive Environments (LRE)   You can learn more and improve your student’s success at https://organizedbinder.com/   Copyright © 2018 Better Leaders Better Schools

Ken Ribet is the president of the American Mathematical Society. He played a key role in the proof of Fermat’s Last Theorem. Ken Ribet’s home page The AMS Ken’s famous paper The Wiles Proof of Fermat’s Last Theorem Numberphile video with Ken about his work Ken’s 87 hair cuts Simon Singh discusses Fermat’s Last Theorem in a Numberphile video With thanks to MSRI Meyer Sound

On this episode, Katie is joined by Deborah Loewenberg Ball, the William H. Payne Collegiate Professor of education at the University of Michigan, an Arthur F. Thurnau Professor, and the director of TeachingWorks. She taught elementary school for more than 15 years, and continues to teach mathematics to elementary students every summer. Ball studies the practice of teaching, seeking to identify how its power can be leveraged to disrupt racism, marginalization, and inequity. Much of her research focuses on elementary mathematics as a critical context for understanding teaching practice, examining the endemic challenges of working across difference, and the relational, communicative, and content-understanding entailments of that work. Her current work centers on ways to improve the quality of beginning teaching, particularly for children of color and low-income children. Ball has authored or co-authored more than 150 publications and has lectured and made numerous major presentations around the world. She serves on the National Science Board and the Mathematical Sciences Research Institute Board of Trustees and is president of the American Educational Research Association. Ball has been elected to the American Academy of Arts and Sciences and the National Academy of Education, and is a fellow of the American Mathematical Society and the American Educational Research Association. Segment 1: Math Education [00:00-18:15] In this first segment, Deborah shares about what she has learned about math education research after decades in the field. Segment 2: Teacher Training and Professional Development [18:16-33:54] In segment two, Deborah shares about her organization TeachingWorks. Bonus Clip #1 [00:00-05:10]: The Research Problem that Keeps Deborah Up at Night To share feedback about this podcast episode, ask questions that could be featured in a future episode, or to share research-related resources, contact the “Research in Action” podcast: Twitter: @RIA_podcast or #RIA_podcast Email: riapodcast@oregonstate.edu Voicemail: 541-737-1111 If you listen to the podcast via iTunes, please consider leaving us a review. The views expressed by guests on the Research in Action podcast do not necessarily represent the views of Oregon State University Ecampus or Oregon State University.

This week, in honor of Pi Day on March 14, we're presenting two stories from mathematicians. Part 1: After a reluctant start, mathematician Ken Ono makes an unexpected discovery. Part 2: Mathematician Piper Harron deals with harassment after standing up for diversity in math. Ken Ono is the Asa Griggs Candler Professor of Mathematics at Emory University. He is the Vice President of the American Mathematical Society, and he considered to be an expert in the theory of integer partitions and modular forms. His contributions include several monographs and over 160 research and popular articles in number theory, combinatorics and algebra. He received his Ph.D. from UCLA and has received many awards for his research in number theory, including a Guggenheim Fellowship, a Packard Fellowship and a Sloan Fellowship. He was awarded a Presidential Early Career Award for Science and Engineering (PECASE) by Bill Clinton in 2000 and he was named the National Science Foundation’s Distinguished Teaching Scholar in 2005. He serves as Editor-in-Chief for two Springer-Nature journals and is an editor of Springer's The Ramanujan Journal. He was also an Associate Producer of the Hollywood film The Man Who Knew Infinity which starred Jeremy Irons and Dev Patel. Piper Harron received her PhD in mathematics from Princeton University in January 2016. More interestingly, she started in 2003, left in 2009, lectured at Northeastern for three semesters, then stopped working and had two children born in 2011 and 2014. Her PhD thesis received recognition for its humorous style and blunt social commentary (Spoiler: math culture is oppressive), and she has traveled to many institutions around the country and in Canada to talk about her experiences trying to survive other people's good intentions. She is currently a postdoc in the Department of Mathematics at the University of Hawaii at Manoa. Learn more about your ad choices. Visit megaphone.fm/adchoices

Gudrun und Karoline Disser trafen sich am Rand eines Seminarvortrages an der TU in Darmstadt. Dort arbeitet Karoline am internationalen Graduiertenkolleg Mathematical Fluid Dynamics als Postdoc. Der Forschungsgegenstand, über den die beiden schließlich ins Gespräch kamen, ist die Bewegung starrer Körper, in denen eine Flüssigkeit eingeschlossen ist. Ein recht anschauliches Beispiel hierfür ist die Frage, wie man herausfinden kann, ob ein Ei schon gekocht oder noch roh ist. Wenn man es auf einer glatten Fläche aufrecht stehend rotieren lässt, bleibt das gekochte Ei fast aufrecht, während sich das rohe Ei schnell hinlegt und weiter um eine kurze Achse rotiert. Die Flüssigkeit verhindert die Präzession um die lange Achse. Allgemeiner ausgedrückt untersucht Karoline Trägheitsbewegungen gekoppelter Systeme, die aus einem starren Körper bestehen mit einem Hohlraum, der vollständig mit einer viskosen Flüssigkeit gefüllt ist. Sie zeigt mathematisch, dass bei beliebigen Anfangsdaten mit endlicher kinetischer Energie, jede korrespondierende schwache Lösung im Laufe der Zeit in eine gleichmäßige Rotation übergeht. Darüber hinaus ist diese Rotation nur um die Trägheitsachse mit dem größeren Trägheitsmoment stabil. Anschaulich ist das bei einem symmetrischen Körper oft die geometrisch kürzeste Achse. Unabhängig von der Geometrie und den Parametern zeigt dies, dass - wenn das System genug Zeit hat - das Vorhandensein von Flüssigkeit Präzession des Körpers verhindert. Die theoretischen Untersuchungen wurden durch numerische Simulationen begleitet. In diesem Video zu einem Experiement eines mit Flüssigkeit gefülltem starrem Körpers wird der Effekt illustriert, dass wenn er zuerst um die lange Achse angedreht wird, in der freien Bewegung schnell zu einer Rotation um eine kurze Achse findet. Interessant ist auch der Fall, wenn sich das flüssige Material nicht ähnlich wie Wasser verhält, sondern ein sogenanntes Nichtnewtonsches Fluid ist. Hierfür gibt es viele Anwendungen - zum Beispiel, wenn auch elastische Verformungen möglich sind. Das heißt konkret: In den partiellen Differentialgleichungen treten noch mehr nichtlineare Terme auf als im Fall der Navier-Stokes Gleichungen für wasserähnliche Stoffe. Für diese Terme müssen neue Techniken entwickelt werden. Literatur und weiterführende Informationen K. Disser: Strong Solutions for the Interaction of a Rigid Body and a Viscoelastic Fluid, Journal of Mathematical Fluid Mechanics 15(4), 2012. K. Disser e.a.: L^p -theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids, Transactions of the American Mathematical Society 365(3), 2013. K. Disser: Asymptotic behaviour of a rigid body with a cavity filled by a viscous liquid, arXiv:1405.6221, 2014. K. Disser e.a.: Inertial Motions of a Rigid Body with a Cavity Filled with a Viscous Liquid, Archive for Rational Mechanics and Analysis 221(1):1-40, 2016. Podcasts H. Wilson: Viscoelastic Fluids, Gespräch mit G. Thäter im Modellansatz Podcast, Folge 92, Fakultät für Mathematik, Karlsruher Institut für Technologie (KIT), 2016. M. Steinhauer: Reguläre Strömungen, Gespräch mit G. Thäter im Modellansatz Podcast, Folge 113, Fakultät für Mathematik, Karlsruher Institut für Technologie (KIT), 2016.

Welcome to episode 42 of ATG: The Podcast. For readers of Against the Grain, our guest this week will be familiar from her long-time contributions to the “Copyright Questions and Answers” column. Laura N. “Lolly” Gasaway is the Paul B. Eaton Distinguished Professor of Law Emerita of UNC Chapel Hill. This week, she’s reading her column from the February 2016 issue of Against the Grain, v28 #1. As always, Lolly answers many intriguing questions. Included are questions sent in from an academic librarian, a public librarian, an elementary school teacher and more. But first, a few announcements. When this podcast is aired on Monday, November 6, it will be the start of the Charleston Conference week! We’re looking forward to seeing all of our attendees, presenters, sponsors, and exhibitors there. Please check in upon arrival to receive your name badge and attendee materials. Name badges will be required for entry into conference venues, the reception, and conference shuttles. The registration check-in desk will be located in the upper lobby of the Francis Marion Hotel at 387 King Street. Hours are posted on the conference website at the link provided in the show notes. The 2017 Conference Reception, sponsored by Elsevier, will be held on Wednesday, November 8, from 7:00 – 9:00 pm at the SC Aquarium. Shuttle transportation will be available from the Francis Marion Hotel to the aquarium. The entire aquarium, plus the Shark Shallows touch tank outside on the deck, will be open for attendees to visit. Delicious Lowcountry specialties, like shrimp and grits, as well as more traditional reception fare will be served and beer, wine and soft drinks will be available at the bar. Live musical entertainment will be provided by The Soulfeathers. Side note – the awesome guy on drums is my brother! We’ll also have a photo booth, sponsored by Duke University Press, to take pictures with fun and goofy props. Conducting a Conference takes a lot of dedication, time, and assistance from a lot of people. It also takes money. The Charleston Conference would like to thank all of our sponsors that made generous contributions: Adam Matthew, American Mathematical Society, Better World Books, Cambridge University Press, Canadian Science Publishing, CHOICE, Clarivate Analytics, Credo Reference, Duke University Press, EBSCO Information Services, Elsevier, Gale, a Cengage Company, HighWire Press, IGI Global, IOP Publishing, MDPI, the OECD, Oxford University Press, ProQuest, Rittenhouse, SAGE Publishing, Springer Nature, the Society for Scholarly Publishing, Taylor & Francis Group, University of Hawaii Press, the Wall Street Journal, and Yewno. Please thank their representatives when you see them! --------------------------- And now, a few updates to the “If Rumors Were Horses” column from Katina Strauch. I hope that you have all heard that Leah Hinds has been appointed Executive Director of the Charleston Conference! Leah is tireless and deserves all the recognition we can give her! Look at all the new initiatives that have begun with ATG and ATG media! Speaking of which there was a free webinar on Wednesday -- Charleston Library Conference Tips and Tricks for Attending. Heather Staines and Leah organized it and many of the Charleston Conference regulars will be on the webinar. Here is a link to it for your use! It will be available on the Conference website as of Thursday November 2. https://www.charlestonlibraryconference.com/video/webinars See the Charleston Conference November print issue (v.29#5, p.85) of ATG for a picture of the awesome (we used to call him “the nemesis” in earlier ATGs) Chuck Hamaker who has retired from UNC-Charlotte. Chuck is pictured with his Emeritus certificate from UNC-C. What a career Chuck has had. He will be presenting at the Charlotte Initiative Symposium on Monday afternoon. 2017charlestonconference.sched.org/ If you haven’t encountered Carol Apollo you need to! Carol and Leah met when they were neighbors in Gilbert, SC. Carol is a Social Media Manager and Strategist who believes that a good social media campaign has the power to change the world. She has worked mostly with non-profit and volunteer organizations to optimize their Internet presence and engage their audience and has been working with Against the Grain Media for the past 6 months. Carol’s podcast on social media for libraries is available on the ATG newschannel. Carol has moved back up north but she will be in Charleston helping with the podcast at the Conference in the Gaillard Center lobby - recording takeaways and comments from attendees. She will also be helping with the Speed networking during the poster sessions at the Conference http://atgthepodcast.libsyn.com/podcast/atgthepodcast-039-libraries-and-social-media-with-carol-apollo Speaking of the Poster sessions, Tom Gilson has worked diligently with Jesse Lamarre of Morressier Gmbh in Berlin. Thank also to Sven Fund for hooking us up with Morressier and to John Williams who has worked with Tom and Jesse to make the virtual posters a reality. Hope that you all like them! There will be 37 Virtual posters in Charleston this year! jesse.lamarre@morressier.com www.morressier.com Fast Pitch finalists have been selected and we're in the process of coaching. Be sure to come and vote for our favorite at the session on Wed 11/8 at 4:40 PM.  Glenda Alvin is introducing Loretta Parham, one of our keynote speakers at the Conference. Glanda was reminiscing about African American Librarians attending the Conference. Many of them have retired and we are searching for more to take up the mantle! Be sure and meet Aaisha Haykal, manager of archives at the Avery Center for Research in African American History, who is attending this year! We told you in the print November ATG that Franny Lee is now VP of Product Development at Chegg, a publicly-traded company with a learning platform and product lines that include textbook rental, tutoring services, test pre, etc. Tom Gilson had a Penthouse Interview scheduled with Franny during the Charleston Conference but we have just learned that Franny is not able to come to Charleston because of a medical procedure. www.chegg.com/ I was poking around the ATG newschannel and learned that Napoleon was a bibliophile! He traveled with a library of miniature books and was a voracious reader. This was John Riley’s ATG Quirky ATG Quirkies: Napoleon’s Kindle on October 25. I seem to remember that Elisabeth Chapman was a collector of miniature books. Liz is retired but I’ll bet she is still collecting miniature books! Returning to John Riley! He will NOT be in Charleston this year because he is running for political office! Mayor of Northampton! That's the good news. The bad news is that he will have to miss his first Charleston Conference in 32 years! With the election being held on November 7 he just can't break away on time. Speaking of the 37th Charleston Conference! I am looking forward to it! I am not the spring chicken that I once was so I am having trouble getting around! BUT I WANT very much to meet all of you so please come up and interrupt me and let’s talk! Thanks and much love always, Katina Yr Ed.  

Mathematician Paul Erdős had no home, no job, and no hobbies. Instead, for 60 years he wandered the world, staying with each of hundreds of collaborators just long enough to finish a project, and then moving on. In this week's episode of the Futility Closet podcast we'll meet the "magician of Budapest," whose restless brilliance made him the most prolific mathematician of the 20th century. We'll also ponder Japanese cannibalism in World War II and puzzle over a senseless stabbing. Intro: Elbert Hubbard published 12 blank pages in 1905. A duck spent 18 months in the U.S. 2nd Marine Division in 1943. Sources for our feature on Paul Erdős: Paul Hoffman, The Man Who Loved Only Numbers, 1999. The magisterial biography of Erdős. The first chapter is here. Bruce Schechter, My Brain Is Open, 2000. Béla Bollobás, "Paul Erdős (1913-96)," Nature, 383:6601 (Oct. 17, 1996), 584. Melvin Henriksen, "Reminiscences of Paul Erdős," Mathematical Association of America (accessed June 10, 2017). László Babai, Carl Pomerance, and Péter Vértesi, "The Mathematics of Paul Erdős," Notices of the AMS 45:1 (January 1998). László Babai and Joel Spencer, "Paul Erdős (1913–1996)," Notices of the AMS 45:1 (January 1998). Ronald L. Graham, Jaroslav Nesetril, Steve Butler, eds., The Mathematics of Paul Erdős, 2013. Rodrigo De Castro and Jerrold W. Grossman, "Famous Trails to Paul Erdős," Mathematical Intelligencer 21:3 (January 1999), 51–53. Bruce Torrence and Ron Graham, "The 100th Birthday of Paul Erdős/Remembering Erdős," Math Horizons 20:4 (April 2013), 10-12. Krishnaswami Alladi et al., "Reflections on Paul Erdős on His Birth Centenary," Parts I and II, Notices of the American Mathematical Society 62:2 and 62:3 (February and March 2015). Béla Bollobás, "To Prove and Conjecture: Paul Erdős and His Mathematics," American Mathematical Monthly 105:3 (March 1998), 209-237. "Information About Paul Erdős (1913-1996)," Oakland University (accessed June 13, 2017). Calla Cofield, "An Arbitrary Number of Years Since Mathematician Paul Erdős's Birth," Scientific American, March 26, 2013. Béla Bollobás, "Obituary: Paul Erdős," Independent, Oct. 2, 1996. N Is a Number: A Portrait of Paul Erdős, Kanopy Streaming, 2014. "Paul Erdős," MacTutor History of Mathematics Archive (accessed June 10, 2017). Above: Erdős teaching 10-year-old Terence Tao in 1985. Tao is now recognized as one of the world's finest mathematicians; he received the Fields Medal in 2006. Listener mail: Wikipedia, "Chichijima Incident" (accessed June 23, 2017). Charles Laurence, "George HW Bush Narrowly Escaped Comrades' Fate of Being Killed and Eaten by Japanese Captors," Telegraph, Feb. 6, 2017. James Bradley, Flyboys, 2003. This week's lateral thinking puzzle was contributed by listener Waldo van der Waal, who sent this corroborating link (warning -- this spoils the puzzle). You can listen using the player above, download this episode directly, or subscribe on iTunes or Google Play Music or via the RSS feed at http://feedpress.me/futilitycloset. Please consider becoming a patron of Futility Closet -- on our Patreon page you can pledge any amount per episode, and we've set up some rewards to help thank you for your support. You can also make a one-time donation on the Support Us page of the Futility Closet website or buy merchandise in our store. Many thanks to Doug Ross for the music in this episode. If you have any questions or comments you can reach us at podcast@futilitycloset.com. Thanks for listening!

Pascal Kraft is a researcher at the Institute for Applied and Numerical Mathematics of the Karlsruhe Institute of Technology (KIT) and he introduces us to Julia Sets which he investigated for his Bachelors Thesis. It is natural for us to think something like this: If I take two simple things and put them together in some sense, nothing too complex should arise from that. A fascinating result of the work of mathematicians like Gaston Julia and Benoît Mandelbrot dating back to the first half of the 20th century show that this assumption doesn't always hold. In his bachelor's thesis under supervision of Jan-Philipp Weiß, Pascal Kraft worked on the efficient computation of Julia Sets. In laymans terms you can describe these sets as follows: Some electronic calculators have the functions of repeating the last action if you press "=" or "enter" multiple times. So if you used the root function of your calculator on a number and now you want the root of the result you simply press "=" again. Now imagine you had a function on your calculater that didn't only square the input but also added a certain value - say 0.5. Then you put in a number, apply this function and keep repeating it over and over again. Now you ask yourself if you keep pressing the "="-button if the result keeps on growing and tends to infinity or if it stays below some threshold indefinitely. Using real numbers this concept is somewhat boring but if we use complex numbers we find, that the results are astonishing. To use a more precise definition: for a function , the Filled Julia Set is defined as the set of values , for whom the series stays bounded. The Julia Set is defined as the boundary of this set. A typical example for a suitable function in this context is . We now look at the complex plane where the x-axis represents the real part of a complex number and the y-axis its imaginary part. For each point on this plane having a coordinate we take the corresponding complex number and plug this value into our function and the results over and over again up to a certain degree until we see if this sequence diverges. Computing a graphical representation of such a Julia Set is a numerically costly task since we have no other way of determining its interior points other then trying out a large amount of starting points and seeing what happens after hundreds of iterations. The results, however, turn out to be surprising and worth the effort. The geometric representations - images - of filled Julia Sets turn out to be very aesthetically pleasing since they are no simple compositions of elementary shapes but rather consist of intricate shapes and patterns. The reason for these beautiful shapes lie in the nature of multiplication and addition on the complex plane: A multiplication can be a magnification and down-scaling, mirroring and rotation, whereas the complex addition is represented by a translation on the complex plane. Since the function is applied over and over again, the intrinsic features are repeated in scaled and rotated forms over and over again, and this results in a self-similarity on infinite scales. In his bachelor's thesis, Pascal focussed on the efficient computation of such sets which can mean multiple things: it can either mean that the goal was to quickly write a program which could generate an image of a Julia Set, or that a program was sought which was very fast in computing such a program. Lastly it can also mean that we want to save power and seek a program which uses computational power efficiently to compute such an image, i.e. that consumes little energy. This is a typical problem when considering a numerical approach in any application and it arises very naturally here: While the computation of Julia Sets can greatly benefit from parallelization, the benefits are at loss when many tasks are waiting for one calculation and therefore the speedup and computational efficiency breaks down due to Amdahl's law. The difference of these optimization criteria becomes especially obvious when we want to do further research ontop of our problem solver that we have used so far. The Mandelbrot Set for example is the set of values , for whom the Filled Julia Set is not equal to the Julia Set (i.e. the Filled Julia Set has interior points). One detail is important for the computation of either of these sets: If we check one single point we can never really say if it is inside the Filled Julia Set for sure (unless we can prove periodicity but that is not really feasible). What we can show however is, that if the magnitude of a point in the series of computations is above a certain bound, the results will tend to infinity from this point on. The approach is therefore to compute steps until either a maximum of steps is reached or a certain threshold is exceeded. Based on this assumption, we see that computing a point which lies inside the filled Julia Set is the bigger effort. So if computing a Julia Set for a given parameter is a lot of work, its complex parameter most likely lies inside the Mandelbrot Set (as we find many points for whom the computation doesn't abort prematurely and it is therefore likely that some of these points will be interior). If we want to draw the Mandelbrot Set based on this approach, we have to compute thousands of Julia Sets and if the computation of a single image was to take a minute this would not really be feasible anymore. Since the computation of a Julia Set can even be done in a webbrowser these days, we include below a little tool which lets you set a complex parameter and compute four different Julia Sets. Have fun with our Interactive Julia Sets! References and further reading J. Dufner, A. Roser, F. Unseld: Fraktale und Julia-Mengen, Harri Deutsch Verlag, 1998. H.-O. Peitgen, P. H. Richter: The beauty of fractals: images of complex dynamical systems, Springer Berlin Heidelberg, 1986. B. B. Mandelbrot: Fractal aspects of the iteration of for complex and z, Annals of the New York Academy of Sciences 357.1: 249-259, 1980. P. Kraft: Paralleles Rechnen auf GPUs - Julia Mengen und das magnetische Pendel Fraktal, Bachelor Thesis. 2012. J. Gaston: Mémoire sur l’itération des fonctions rationnelles, Journal de Math´ematiques pures et appliqu ´ees 4 (Rep 1968), pp. 47-245 / 121-319, 1918. P. Blanchard: Complex analytical dynamics on the Riemann sphere, Bulletin of the American Mathematical Society 11, pp. 84-141, 1984.

Pascal Kraft is a researcher at the Institute for Applied and Numerical Mathematics of the Karlsruhe Institute of Technology (KIT) and he introduces us to Julia Sets which he investigated for his Bachelors Thesis. It is natural for us to think something like this: If I take two simple things and put them together in some sense, nothing too complex should arise from that. A fascinating result of the work of mathematicians like Gaston Julia and Benoît Mandelbrot dating back to the first half of the 20th century show that this assumption doesn't always hold. In his bachelor's thesis under supervision of Jan-Philipp Weiß, Pascal Kraft worked on the efficient computation of Julia Sets. In laymans terms you can describe these sets as follows: Some electronic calculators have the functions of repeating the last action if you press "=" or "enter" multiple times. So if you used the root function of your calculator on a number and now you want the root of the result you simply press "=" again. Now imagine you had a function on your calculater that didn't only square the input but also added a certain value - say 0.5. Then you put in a number, apply this function and keep repeating it over and over again. Now you ask yourself if you keep pressing the "="-button if the result keeps on growing and tends to infinity or if it stays below some threshold indefinitely. Using real numbers this concept is somewhat boring but if we use complex numbers we find, that the results are astonishing. To use a more precise definition: for a function , the Filled Julia Set is defined as the set of values , for whom the series stays bounded. The Julia Set is defined as the boundary of this set. A typical example for a suitable function in this context is . We now look at the complex plane where the x-axis represents the real part of a complex number and the y-axis its imaginary part. For each point on this plane having a coordinate we take the corresponding complex number and plug this value into our function and the results over and over again up to a certain degree until we see if this sequence diverges. Computing a graphical representation of such a Julia Set is a numerically costly task since we have no other way of determining its interior points other then trying out a large amount of starting points and seeing what happens after hundreds of iterations. The results, however, turn out to be surprising and worth the effort. The geometric representations - images - of filled Julia Sets turn out to be very aesthetically pleasing since they are no simple compositions of elementary shapes but rather consist of intricate shapes and patterns. The reason for these beautiful shapes lie in the nature of multiplication and addition on the complex plane: A multiplication can be a magnification and down-scaling, mirroring and rotation, whereas the complex addition is represented by a translation on the complex plane. Since the function is applied over and over again, the intrinsic features are repeated in scaled and rotated forms over and over again, and this results in a self-similarity on infinite scales. In his bachelor's thesis, Pascal focussed on the efficient computation of such sets which can mean multiple things: it can either mean that the goal was to quickly write a program which could generate an image of a Julia Set, or that a program was sought which was very fast in computing such a program. Lastly it can also mean that we want to save power and seek a program which uses computational power efficiently to compute such an image, i.e. that consumes little energy. This is a typical problem when considering a numerical approach in any application and it arises very naturally here: While the computation of Julia Sets can greatly benefit from parallelization, the benefits are at loss when many tasks are waiting for one calculation and therefore the speedup and computational efficiency breaks down due to Amdahl's law. The difference of these optimization criteria becomes especially obvious when we want to do further research ontop of our problem solver that we have used so far. The Mandelbrot Set for example is the set of values , for whom the Filled Julia Set is not equal to the Julia Set (i.e. the Filled Julia Set has interior points). One detail is important for the computation of either of these sets: If we check one single point we can never really say if it is inside the Filled Julia Set for sure (unless we can prove periodicity but that is not really feasible). What we can show however is, that if the magnitude of a point in the series of computations is above a certain bound, the results will tend to infinity from this point on. The approach is therefore to compute steps until either a maximum of steps is reached or a certain threshold is exceeded. Based on this assumption, we see that computing a point which lies inside the filled Julia Set is the bigger effort. So if computing a Julia Set for a given parameter is a lot of work, its complex parameter most likely lies inside the Mandelbrot Set (as we find many points for whom the computation doesn't abort prematurely and it is therefore likely that some of these points will be interior). If we want to draw the Mandelbrot Set based on this approach, we have to compute thousands of Julia Sets and if the computation of a single image was to take a minute this would not really be feasible anymore. Since the computation of a Julia Set can even be done in a webbrowser these days, we include below a little tool which lets you set a complex parameter and compute four different Julia Sets. Have fun with our Interactive Julia Sets! References and further reading J. Dufner, A. Roser, F. Unseld: Fraktale und Julia-Mengen, Harri Deutsch Verlag, 1998. H.-O. Peitgen, P. H. Richter: The beauty of fractals: images of complex dynamical systems, Springer Berlin Heidelberg, 1986. B. B. Mandelbrot: Fractal aspects of the iteration of for complex and z, Annals of the New York Academy of Sciences 357.1: 249-259, 1980. P. Kraft: Paralleles Rechnen auf GPUs - Julia Mengen und das magnetische Pendel Fraktal, Bachelor Thesis. 2012. J. Gaston: Mémoire sur l’itération des fonctions rationnelles, Journal de Math´ematiques pures et appliqu ´ees 4 (Rep 1968), pp. 47-245 / 121-319, 1918. P. Blanchard: Complex analytical dynamics on the Riemann sphere, Bulletin of the American Mathematical Society 11, pp. 84-141, 1984.

Eine alte Fragestellung lautet, was die Summe der Kehrwerte aller natürlicher Zahlen ist. Mit anderen Worten: existiert der Grenzwert der Harmonischen Reihe ? Die Antwort, die man im ersten Semester kennenlernen ist: Diese Reihe ist divergiert, der Wert ist nicht endlich. Über die spannenden Entwicklungen in der Zahlentheorie, die sich daraus ergaben, berichtet Fabian Januszewski im Gespräch mit Gudrun Thäter. Eine verwandte Fragestellung zur harmonischen Reihe lautet: Wie steht es um den Wert von ? Diese Frage wurde im 17. Jahrhundert aufgeworfen und man wußte, daß der Wert dieser Reihe endlich ist. Allerdings kannte man den exakten Wert nicht. Diese Frage war als das sogannte Basel-Problem bekannt. Eine ähnliche Reihe ist Ihr Wert läßt sich elementar bestimmen. Dies war lange bekannt, und das Basel-Problem war ungleich schwieriger: Es blieb fast einhundert Jahre lang ungelöst. Erst Leonhard Euler löste es 1741: Die Riemann'sche -Funktion Die Geschichte der L-Reihen beginnt bereits bei Leonhard Euler, welcher im 18. Jahrhundert im Kontext des Basel-Problems die Riemann'sche -Funktion' entdeckte und zeigte, dass sie der Produktformel genügt, wobei die Menge der Primzahlen durchläuft und eine reelle Variable ist. Diese Tatsache ist äquivalent zum Fundamentalsatz der Arithmetik: jede natürliche Zahl besitzt eine eindeutige Primfaktorzerlegung. Eulers Lösung des Basel-Problems besagt, daß und diese Formel läßt sich auf alle geraden positiven Argumente verallgemeinern: , wobei die -te Bernoulli-Zahl bezeichnet. Im 19. Jahrhundert zeigte Bernhard Riemann, dass die a priori nur für konvergente Reihe eine holomorphe Fortsetzung auf besitzt, einer Funktionalgleichung der Form genügt und einen einfachen Pol mit Residuum bei aufweist. Letztere Aussage spiegelt die Tatsache wieder, dass in jedes Ideal ein Hauptideal ist und die einzigen multiplikativ invertierbaren Elemente sind. Weiterhin weiß viel über die Verteilung von Primzahlen. Setzen wir dann zeigte Riemann, daß die so definierte vervollständigte Riemann'sche -Funktion auf ganz holomorph ist und der Funktionalgleichung genügt. Da die -Funktion Pole bei nicht-positiven ganzzahligen Argumenten besitzt, ergibt sich hieraus die Existenz und Lage der sogenannten "trivialen Nullstellen" von : für . Konzeptionell sollte man sich den Faktor als Eulerfaktor bei vorstellen. John Tate zeigte in seiner berühmten Dissertation, daß dies tatsächlich sinnvoll ist: Die endlichen Eulerfaktoren werden von Tate als Integrale über interpretiert, und der "unendliche" Eulerfaktor ist ebenfalls durch ein entsprechendes Integral über gegeben. Er legte damit den Grundstein für weitreichende Verallgemeinerungen. Die Riemann'sche -Funktion ist der Prototyp einer -Funktion, einem Begriff, der langsam Schritt für Schritt verallgemeinert wurde, zunächst von Richard Dedekind, Lejeune Dirichlet und Erich Hecke und weiter von Emil Artin, Helmut Hasse, André Weil, Alexander Grothendieck, Pierre Deligne, Jean-Pierre Serre und Robert Langlands et al. -Funktionen spielen in der modernen Zahlentheorie eine zentrale Rolle, und bis heute ranken sich fundamentale Vermutungen um diesen Begriff. Selbst die Mysterien der Riemann'schen -Funktion sind auch heute bei weitem nicht vollständig ergründet. Die berühmteste Vermutung in diesem Kontext ist die Riemann'sche Vermutung. Riemann zeigte 1859 nicht nur, daß die Riemann'sche -Funktion eine holomorphe Fortsetzung auf besitzt, sondern stellte auch einen engen Zusammenhang zwischen der Verteilung der Primzahlen und den Nullstellen von her. Eulers Produktenwicklung von für zeigt, dass stets für . Aus der Funktionalgleichung von ergibt sich, dass für natürliche Zahlen . Die sind die sogenannten trivialen Nullstellen der -Funktion. Riemann vermutete, dass sämtliche nicht-trivialen Nullstellen auf der Geraden liegen. Euler bestimmte im wesentlichen die Werte für positives . Bis heute wissen wir sehr wenig über die Werte an positiven ungeraden Argumenten. Ein Satz von Apéry besagt, daß irrational ist. Wir haben allerdings keine einfache Formel für diesen Funktionswert. Konzeptionell unterscheiden sich die ungeraden von den geraden positiven Argumenten darin, daß der in auftretende Faktor der -Funktion für ungerades positives dort einen Pol besitzt, was ebenfalls das Verschwinden von zur Folge hat. Über die Werte an negativen ungeraden Argumenten wissen wir aus der Funktionalgleichung, daß . Insbesondere gilt . Dieser Wert kann in gewissen Kontexten als Grenzwert (der divergierenden!) Reihe interpretiert werden (formal ergeben diese Identitäten natürlich keinen Sinn). In gewissen Situationen ist der Funktionswert ein sinnvoller endlicher Ersatz für den nicht existierenden Grenzwert der Reihe . Derartige Phänomene treten in Zahlentheorie an vielen Stellen auf. Literatur und Zusatzinformationen Haruzo Hida, Elementary theory of -functions and Eisenstein series, Cambridge University Press, 1993. Jean-Pierre Serre, "Cours d'arithmétique", Presses Universitaires de France, 1970. Goro Shimura, "Introduction to the arithmetic theory of automorphic functions." Princeton University Press, 1971. Jürgen Neukirch, Algebraische Zahlentheorie, Springer Verlag, 1992. André Weil, Basic Number Theory, Springer Verlag, 1973. Podcast Modellansatz 036: Analysis und die Abschnittskontrolle Bernhard Riemann, Über die Anzahl der Primzahlen unter einer gegebenen Grösse, Monatsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin, 1859 John T. Tate, "Fourier analysis in number fields, and Hecke's zeta-functions", Algebraic Number Theory (Proc. Instructional Conf., Brighton, 1965), Thompson, 1950, S. 305–347. Andrew Wiles, "Modular Elliptic Curves and Fermat’s Last Theorem." Annals of Mathematics 142, 1995, S. 443–551. Richard Taylor, Andrew Wiles, "Ring-theoretic properties of certain Hecke algebras." Annals of Mathematics 142, 1995, S. 553–572. Brian Conrad, Fred Diamond, Richard Taylor, "Modularity of certain potentially Barsotti-Tate Galois representations", Journal of the American Mathematical Society 12, 1999, S. 521–567. Christophe Breuil, Brian Conrad, Fred Diamond, Richard Taylor, "On the modularity of elliptic curves over Q: wild 3-adic exercises", Journal of the American Mathematical Society 14, 2001, S. 843–939. Frobeniushomomorphismus Galois-Darstellungen Weil-Vermutungen Standard-Vermutungen Automorphe Formen Das Langlands-Programm Wikipedia: Automorphe L-Funktionen Emil Artin, Über eine neue Art von -Reihen, Abh. Math. Seminar Hamburg, 1923. Armand Borel, "Automorphic L-functions", in A. Borel, W. Casselman, "Automorphic forms, representations and L-functions" (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Oregon, 1977), Teil 2, Proc. Sympos. Pure Math., XXXIII, American Mathematical Society, 1979, S. 27–61. Robert P. Langlands, "Problems in the theory of automorphic forms", in "Lectures in modern analysis and applications III," Lecture Notes in Math 170, 1970, S. 18–61. Robert P. Langlands, '"'Euler products", Yale University Press, 1971. Wikipedia: Spezielle Werte von L-Funktionen Pierre Deligne; "Valeurs de fonctions L et périodes d’intégrales." , in A. Borel, W. Casselman, "Automorphic forms, representations and L-functions" (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Oregon, 1977)'', Teil 2, Proc. Sympos. Pure Math., XXXIII, American Mathematical Society, 1979, S. 313–346.

When Edward Frenkel is told he won't be accepted to a Russian university because his father is Jewish, he decides to take the admissions exam anyway. Edward Frenkel is a professor of mathematics at the University of California, Berkeley, which he joined in 1997 after being on the faculty at Harvard University. He is a member of the American Academy of Arts and Sciences, a Fellow of the American Mathematical Society, and the winner of the Hermann Weyl Prize in mathematical physics. Frenkel has authored 3 books and over 80 scholarly articles in academic journals, and he has lectured on his work around the world. His YouTube videos have garnered over 3 million views. Frenkel's latest book "Love and Math" was a New York Times bestseller and has been named one of the Best Books of 2013 by both Amazon and iBooks. It is being translated into 14 languages. Frenkel has also co-produced, co-directed and played the lead in the film "Rites of Love and Math." Learn more about your ad choices. Visit megaphone.fm/adchoices

Dr. Della Dumbaugh, Professor Of Mathematics, discusses her recent article, “Creating a Life: Emil Artin in America” in The Bulletin of the American Mathematical Society. This article focuses on Emil Artin, an Austrian born mathematician who spent his career in … Continue reading →

The increase of entropy was regarded as perhaps the most perfect and unassailable law in physics and it was even supposed to have philosophical import. Einstein, like most physicists of his time, regarded the second law of thermodynamics as one of the major achievements of the field, and it entered his work in several ways. The essence of the second law is the statement that all processes can be quantified by an entropy function whose increase is a necessary and sufficient condition for a process to occur. As a fundamental physical law no deviation, however tiny, is permitted and its consequences are far-reaching. Current wisdom regards the second law as a consequence of statistical mechanics but the entropy principle, which was discovered before statistical mechanics was invented, ought to be derivable from a few logical principles without recourse to Carnot cycles, ideal gases and other assumptions about such things as 'heat', 'hot' and 'cold', 'temperature', 'reversible processes', etc. Like conservation of energy (the ``first'' law), the existence of a law so precise and so model-independent must have a logical foundation that is independent of the details of the constitution of matter. In this lecture the foundations of the subject and the construction (with J. Yngvason) of entropy from a few simple principles will be presented. (No previous familiarity with the subject is required.) A summary can be found in: "A Guide to Entropy and the Second Law of Thermodynamics", Notices of the Amer. Math. Soc. vol 45 571-581 (1998). http://www.ams.org/notices/199805/lieb.pdf. arXiv math-ph/9805005 This paper received the American Mathematical Society 2002 Levi Conant prize for ``the best expository paper published in either the Notices of the AMS or the Bulletin of the AMS in the preceding five years''. A Fresh Look at Entropy and the Second Law of Thermodynamics, Physics Today {bf 53}, 32-37 (April 2000). arXiv math-ph/0003028