The square peg problem was posed by Otto Toeplitz in 1911. It asks whether every Jordan curve in the plane contains the vertices of a square, and it is still open to this day. I will survey the ...

November 18th, 2024. University of Michigan. Group, Lie, and Number Theory seminar, 60 minutes : p-adic L-functions for P-ordinary Hida families on unitary groups. November 14th, 2024. University of ...

There’s a new book out this week, a biography of Roger Penrose by Patchen Barss, with the title The Impossible Man: Roger Penrose and the cost of genius. Penrose is one of the greatest figures in ...

There’s no reason for nature to be pretty (5:00) Working on a theory of everything is a mistake because we don’t understand quantum mechanics (8:00). These are just wrong: nature is both pretty and ...

The goal of this talk is to explain some recent (so-called “categorical”) perspectives on the Langlands program. I will gently lead up to these new developments, beginning with background and examples ...

I grew up in the 1960s and 70s, at a time when fundamental physics was making huge dramatic progress and Western democracies were changing in equally dramatic ways, mostly for the better. It truly did ...

Abstract: In the realms of analysis and geometry, geometric and functional inequalities are of paramount significance, influencing a variety of problems. Traditionally, the focus has been on ...