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A Mathematician’s Unanticipated Journey Through the Physical World
Lauren Williams has charted an adventurous mathematical career out of the pieces of a fundamental object called the positive Grassmannian. The outline of Lauren Williams’ mathematical career was present very...
How Infinite Series Reveal the Unity of Mathematics
Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web. For sheer brilliance, it was hard to beat John von...
Mathematical Beauty, Truth and Proof in the Age of AI
Mathematical Beauty, Truth and Proof in the Age of AI Mathematicians have started to prepare for a profound shift in what it means to do math. Back in 1981, Cameron...
Moon Duchin on Fair Voting and Random Walks
...a lot of mathematicians feel, wow, there is so much to do with math. The whole world feels increasingly mathematical, so I think you’ve given us just a magnificent case...
Can Computers Be Mathematicians?
...programming language. (12:32) So, where does the mathematics go? Well, in 2017, they decided that this new mathematics library was born. It was called mathlib, Lean’s mathematics library. And at...
How Do Mathematicians Know Their Proofs Are Correct?
What makes a proof stronger than a guess? What does evidence look like in the realm of mathematical abstraction? Hear the mathematician Melanie Matchett Wood explain how probability helps to...
A Mathematician Dancing Between Algebra and Geometry
...Like many people who would go on to become mathematicians, Wei Ho grew up competing in math contests. In eighth grade, she won the Mathcounts state competition in Wisconsin, and...
How Failure Has Made Mathematics Stronger
The topologist Danny Calegari discusses the inevitability of disappointment in math, and how to learn from it. Reading a math paper is a bit like having dinner at a nice...
A Wormhole Between Physics and Education
...You Love or Hate Math and Science? Share your early math and science learning experiences and explore other readers’ interactive survey results. I thought, “OK, I’ll fall back and I’ll...