Joint Distinguished Interdisciplinary and Applied Mathematics and Mathematics Colloquium Title: AI-Driven Mathematical Discovery: Singularities, Algorithms, and Beyond Speaker: Javier Gómez-Serrano (Brown University) Date, Time, Location: Wednesday, March 25th @4:30 PM – 5:30 PM in Math Hall 520 Abstract: Machine learning is transforming mathematical discovery, enabling advances on longstanding open problems. This talk explores two complementary approaches illustrating different […]
Title: Can AI systems produce interesting proofs? Speaker: Mohammed Abouzaid (Stanford) Date, Time, Location: Thursday, Feb. 26th @4:30 PM – 5:30 PM in Math Hall 520 Abstract: We recently released a set of 10 mathematical statements in arxiv:2602.05192, with known ibut unpublished short human proofs (about 5 pages), and attempted to ascertain how far AI systems can […]
Title: Malle’s conjecture over function fields Speaker: Aaron Landesman (Harvard) Date, Time, Location: Monday, Feb. 9th @4:30 – 5:30PM in Math Hall 520 Abstract: The inverse Galois problem, a foundational question in number theory, asks whether every finite group $G$ can be realized as the Galois group of a field extension of the rational numbers. Malle’s conjecture is a […]
Speaker: Denis Nesterov (ETH Zurich) Title: Compactifications and Degenerations Date, Time, Location: Friday, Feb. 6th @3 – 4PM in Math Hall 520 Abstract: I will discuss a universal structure that appears in the compactification of spaces parametrizing points, maps, and vector bundles associated with a complex variety. It gives rise to numerous interesting correspondences between seemingly different geometries, shedding light […]
Speaker: Lucas Mason-Brown (Texas) Title: Unitary representations of semisimple Lie groups and conical symplectic singularities. Date, Time, Location: Monday, Feb. 2nd @4:30 – 5:30PM in Math Hall 520 Abstract: One of the most fundamental unsolved problems in representation theory is to classify the set of irreducible unitary representations of a semisimple Lie group. In this talk, I will define […]
Title: Yang-Mills, probability, and stochastic PDE Speaker: Sky Cao (MIT) Date, Time, Location: Friday, Jan. 30th @3 – 4PM in Math Hall 520 Abstract: Originating in physics, Yang-Mills theory has shaped many areas of modern mathematics. In my talk, I will present Yang-Mills theory in the context of probability, highlighting central questions and recent advances. In particular, […]
Title: The reasonable effectiveness of physics in mathematics Speaker: Sheldon Katz (University of Illinois at Urbana-Champaign) Date, Time, Location: Thursday, Nov. 13th @3PM – 4PM in Math Hall 520 Abstract: One of the reasons why theoretical physics has spawned the development of many surprising and deep ideas of mathematics in recent decades is the presence of symmetries […]
Title: Combinatorial Perspectives in Stringy Geometry Speaker: Eric Zaslow (Northwestern University) Date, Time, Location: Wednesday, Sept. 3rd @4:30PM – 5:30PM in Math Hall 520 Abstract: I will give a tour of some places in modern mathematical physics where classical combinatorial objects of discrete math arise. More specifically, I will explore how counting points (of various moduli spaces) […]
Title: Renormalization, fractal geometry and the Newhouse phenomenon Speaker: Artur Avila (IMPA) Date, Time, Location: Wednesday, April 23rd @4:30PM – 5:30PM in Math Hall 520 Abstract: As discovered by Poincaré in the end of the 19th century, even small perturbations of very regular dynamical systems may display chaotic features, due to complicated interactions near a homoclinic point. […]
Title: Homotopy groups of spheres and algebraic K-theory Speaker: Ishan Levy (Copenhagen) Date, Time, Location: Wednesday, March 12th @4:30PM – 5:30PM in Math Hall 520 Abstract: The homotopy groups of spheres classify continuous functions from an n-dimensional sphere to an m-dimensional sphere up to continuous deformation. They are of great interest as they control many classification problems […]