My Favorite Theorem
Summary: 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.
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- Artist: Kevin Knudson & Evelyn Lamb
- Copyright: Kevin Knudson & Evelyn Lamb
Podcasts:
Join us to learn about the Fold and Cut Theorem, which asserts that it is possible to cut any polygonal shape via a single cut provided you fold the paper correctly.
Mike Lawler is a mathematician working in finance. Join us to learn an interesting theorem about insurance pricing.
Join mathematician Chawne Kimber for a journey into Archimedean groups, lattice-ordered groups, and quilting.
James Tanton is the MAA's "Mathematician at Large" and he joins us to talk about Sperner's Lemma.
Applied mathematician Erika Camacho tells us about modeling diseases of the eye using systems of differential equations. Her favorite theorem allows her to understand the solutions to these types of systems.
Our first repeat theorem! But our guest has a completely different take on the Brouwer Fixed Point Theorem, giving us a ton of facts about Brouwer the mathematician.
Contractions on complete metric spaces have unique fixed points. That's a pretty cool theorem, according to our guest Vidit.
Ingrid Daubechies has lots of favorite theorems, but right now it's all about planar graph embeddings. Find out why in this episode.
Euclid taught us that there are infinitely many primes. In this episode Ken Ribet tells us why this is his favorite theorem and gives us a couple of interesting proofs.
Mathematician Jana Rodriguez Hertz tells us about the Smale horseshoe map, symbolic dynamics, noodles, and all kinds of other fun stuff.
Join mathematician Francis Su to find out why he thinks the Brouwer Fixed Point Theorem is so appealing.
Category theorist Emily Riehl tells us her second-favorite theorem: right adjoints preserve limits. Since this is category theory we get another theorem for free by dualizing: left adjoints preserve colimits. Listen to find out Emily's favorite theorem, too.
Join former NFL lineman/current mathematician John Urschel to learn about how to take a dense graph and find a sparse graph whose Laplacian is very close to that of the original graph. Applied math at its finest.
Join applied mathematician Nalini Joshi to learn about Mittag-Leffler's theorem, a fundamental result in complex analysis that tells us how to build meromorphic functions on the plane with any prescribed set of poles.
If you stand at the origin in a forest whose trees lie at integer lattice points, what proportion of them can you see? Jayadev Athreya guides us to the answer and then goes further.
