Join us as we spend each episode talking with a mathematical professional about their favorite result. And since the best things in life come in pairs, find out what our guest thinks pairs best with their theorem.
Listeners of My Favorite Theorem that love the show mention: great, theorem.
The My Favorite Theorem podcast is a hidden gem in the world of mathematics podcasts. Hosted by two knowledgeable and engaging individuals, this podcast delves into the fascinating world of theorems and their implications. Each episode features a different guest who brings their own unique perspective and expertise to the table. Whether you're a seasoned mathematician or simply someone with a curiosity for the subject, there are interesting takeaways from every episode.
One of the best aspects of this podcast is its ability to present complex mathematical concepts in an accessible manner. The hosts and guests do an excellent job of breaking down complicated theorems into understandable chunks, making it easy for listeners to follow along even without visual aids. Their use of vivid explanations and relatable examples ensures that listeners stay engaged and can visualize the concepts being discussed. For instance, in one episode, Fermat's "little" theorem was explained using Pascal's triangle and spinning prime-dimensional hypercubes - a truly captivating way to demonstrate the concept that 2^p = 1 + 1 mod p.
Another great aspect of The My Favorite Theorem podcast is the variety of topics covered in each episode. From discussions on classic theorems like Fermat's Last Theorem to more obscure ones like the Uniformization theorem, there is something for everyone's taste. The diversity of guests also adds depth to each episode, as they bring their own favorite theorems and perspectives into the conversation. This variety ensures that no two episodes are alike, keeping listeners engaged week after week.
While it is challenging to find any negative aspects about this podcast, if there were one slight drawback, it would be that some episodes may be less accessible than others depending on one's mathematical background. However, this minor issue is mitigated by the fact that there are still interesting takeaways from each episode regardless of one's level of understanding. Furthermore, even if some parts may be more difficult to grasp, the hosts and guests do an exemplary job of providing explanations that help bridge the gap for listeners.
In conclusion, The My Favorite Theorem podcast is a must-listen for anyone with an interest in mathematics. The hosts' ability to make complex concepts accessible coupled with the diverse range of topics covered makes this podcast both informative and entertaining. Whether you are a mathematician looking to delve into the depths of your favorite theorem or simply someone who wants to expand their knowledge in an engaging way, this podcast is sure to please. With its interesting takeaways from every episode, it's no wonder why it receives a five-star rating from many listeners.
Kyne Santos, a drag queen and mathematics educator living in Canada, is a big fan of the Fundamental Theorem of Calculus. Also hiking.
Jeremy Alm likes the Rado graph, a weird object that captures all sorts of interesting properties of finite graphs. Also cheese.
Robin Wilson likes the Hopf Index Theorem and we agree. Also, hot fudge.
Kate Stange is a number theorist who loves quadratic forms (and who doesn't, really). Her favorite theorem is the bijection between them and ideal classes. Also chocolate.
Karen Saxe is an analyst who spends her days representing mathematics on Capitol Hill. She really likes the isoperimetric inequality and its many uses. Also tennis.
Corrine Yap loves math, graph theory in particular, and also loves to perform her one-person play about Sonya Kovalevskaya. Also, tofu.
Allison Henrich studies knots and her favorite theorem is about how one might unknot a knot. Also, music.
We all know the (probably apocryphal) story of Gauss adding up the first 100 positive integers as a child. Well, Tom Edgar really likes this result and will be happy to tell you about dozens of different ways to prove it. Also, Groundhog Day.
Tatiana Toro is a geometer and therefore loves the ur-theorem of geometry, "due" to Pythagoras. She also likes to walk.
Gresham Professor of Geometry Sarah Hart likes cycloids and we talk at length about all their fascinating properties. Also, Moby Dick (or The Whale).
Euler's polyhedral formula continues to amaze Matthew Kahle as he finds it showing up in different places in mathematics. Also, Bach.
Kevin visited Texas Christian University in March and recorded this episode with some math students. Excellent theorems and pairings.
Cihan Bahran has a popular twitter feed in which he shares surprising theorems. His favorite? Matrix mortality is undecidable.
Juliette Bruce is an algebraic geometer who loves to think about embedding curves in projective space. Also mountaineering.
Technically this is a theorem, but it seems so obvious that it's unclear that it needs a proof. In this episode Christopher Danielson points out that polygons have same number of sides as vertices. Many shapes make an appearance.
Kimberly Ayers likes dynamics and so obvs her fave theorem is Sharkovskii's result that "period 3 implies chaos." Also taffy.
Philip Ording wrote a cool book (you should check it out) and he likes the Erlangen Program. Not really a theorem, but we're not purists around here.
Daina Taimina is famous for her adventures in mathematical crocheting, but her favorite theorem comes from Desargues. She also likes to travel.
Tien Chih loves combinatorics, which means he really loves proving things by induction. In this episode we have a good time learning about this incredibly useful technique in mathematics.
We are joined by a group of math students at Cal State University in Los Angeles for a diverse collection of theorems and pairings.
We can't believe it took 75 episodes to get to the Banach-Tarski paradox, but finally Dave Kung chose it as his favorite theorem. Also, Enigma Variations.
An old favorite theorem makes its third appearance on the pod, but we always like to learn new points of view. Priyam Patel likes the Brouwer Fixed Point theorem, and this time we learn how it helps classify isometries of hyperbolic space. Also, rock climbing.
Courtney Gibbons likes isomorphism theorems. All three of them, in fact, and she wants to remind you they are due to Emmy Noether, despite most textbooks ignoring that fact. Also, bunnies.
Kameryn Williams is a logician and their favorite theorem is the less well-known Condensation Lemma of Gödel. Also brie.
Composer Emily Howard uses mathematical objects and ideas as inspiration for her orchestral and chamber pieces. In this episode we talk to her about "Torus" which was inspired by work with dynamicists.
Mathematician and philosopher Joel David Hamkins likes games (whatever those are) and his favorite theorem is that winning strategies exist. This requires defining "games", "strategies", and all kinds of other stuff. Also chess.
Mathematician Ranthony Edmonds likes factorization in general, so it's no surprise her favorite theorem is the Fundamental Theorem of Arithmetic. And some history. And mead.
Mathematician Rekha Thomas likes things to have applications, and nothing fits that bill better than linear algebra. In this episode we learn that the singular value decomposition gives us a lot more information than you might have realized. Also, migratory birds.
Mathematician Liz Munch really likes the duality inherent in the Max Flow-Min Cut Theorem. And harps.
Mathematician Érika Roldán likes probability and topology and all kinds of fun stuff. Her favorite theorem involves card shuffling, but it eventually leads to Tetris. Also 3D art.
Howard Masur likes the Riemann Mapping Theorem, a result relating topology (simply connected subsets of the plane) and geometry (conformal mappings).
Pamela Harris and Aris Winger have a podcast you should check out, but they also have favorite theorems as diverse as Zeckendorf's theorem about unique representations of integers as sums of Fibonacci numbers and the Fundamental Theorem of Calculus. Also ceviche and pizza.
Mathematician Lily Khadjavi does more interviewing than we do in this episode, as she proposes a taxonomy of theorems.
Mathematician Tai-Danae Bradley is very excited about the singular value decomposition. And category theory. And Dum Dums.
Science fiction author Yoon Ha Lee has degrees in mathematics and it shows. We revisit an old favorite, Cantor's diagonalization argument. Also waffles.
Historian of mathematics Michael Barany has a favorite definition, really, and it's about distributions. Also, we talk about the history of the Fields Medal and a well-thought-out pairing.
Daniel Litt really likes Dirichlet's theorem on primes in arithmetic progressions and it's easy to see why. But we'll let him explain. Also Holmes and Watson make an appearance.
The Jordan Curve Theorem is one of the most well-known results in mathematics and everyone thinks it's obvious. But as Susan D'Agostino points out, there are weird curves where it's not so clear. Also, poetry.
This special episode is a mashup with the Talk Math With Your Friends online seminar series and features mathematician Annalisa Crannell telling us all about Desargues' Theorem, or, as she would call it, the Fundamental Theorem of Perspective Geometry. Also, chopsticks.
Voting theory is on everyone's mind these days. Belin Tsinnajinnie joins us to talk about Arrow's Impossibility Theorem which asserts that the only voting system that conforms to some reasonable rules is a dictatorship by one person. Also tacos.
One of those first weird facts you learn in real analysis is that the rational numbers are dense in the reals. And then you learn later that they're measure zero. Our guest, Rebecca Garcia, says this still kind of blows her mind.
Steve Strogatz is famous for his work in dynamical systems, but his favorite theorem is due to Cauchy. A classic of complex analysis, it asserts that the integral of an analytic function around a closed contour is zero; one of the cleanest results in mathematics. Also, cubism.
Ruthi Hortsch has a very cool job working with middle school math students, but she's also a number theorist who really likes Faltings's Theorem. Also bagels.
Ben Orlin is famous for his bad drawings. In this episode he tells us about Weierstrass's ultimate bad drawing--a continuous function that is nowhere differentiable.
Mathematician Carina Curto really likes the Perron-Frobenius Theorem. Listen to find out why this simple-sounding result is so important and useful.
aBa took a circuitous path to becoming a math professor. His favorite theorem is a number theory fact he figured out on the bus one day and it changed the course of his life.
Mathematician and artist Edmund Harriss thinks about geometry. A lot. And that means considering the Gauss-Bonnet Theorem and how it manifests in the real world.
Bayes's Theorem: love it or hate it you can't deny that it's a useful tool in probability. Join this year's most interesting mathematician Sophie Carr to find out why she loves this theorem so much.
Judy Walker loves coding theory and tells us all about her favorite ones in this episode. Elliptic curves FTW!
Adriana Salerno loves one of the most famous arguments in mathematics--Cantor's Diagonalization Argument. We couldn't agree more (although we certainly agree plenty in the episode).
At the 2019 Joint Mathematics Meetings in Baltimore, Kevin and Evelyn asked lots of folks to tell us about their favorite results, and do it in a hurry. The pairings, thought of on the fly, do not disappoint.
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