Video Lectures

In this talk, Vera will take the audience on a visual journey through cutting-edge computer simulations that model the evolution of the universe from its earliest moments to the present day. These simulations allow us to explore one of the deepest...

The topological entropy of geodesic flows has been extensively studied since the foundational works of Dinaburg and Manning. It measures the exponential complexity of the geodesic flow of a Riemannian manifold, and there are several results...

Astrophysical jets driven by black holes are thought to undergo kink instabilities due to the large current carried by such jets. Dissipation of magnetic energy through kink instabilities has been suggested to account for the high-energy radiation...

I will discuss how the Lang–Trotter conjecture for pairs of elliptic curves implies new cases of the Zilber–Pink conjecture for curves in 3. Unlike previous results for curves in g, our result does not rely on any assumption on intersections with...

The Yang-Mills-Higgs (YMH) model plays a central role in several areas of mathematics, including analysis, geometry, and probability theory. In this talk, we implement the stochastic quantization procedure for the YMH model in two dimensions. That...

I will discuss a recent notion - called categorical approximability - that extends the property of precompactness of a metric space. This is applied to certain spaces of Lagrangian submanifolds endowed with the spectral metric, such as exact...

For a quantum field of arbitrary mass and spin in the static patch of de Sitter spacetime, the Euclidean partition function receives contributions from edge modes localized on the horizon, expressible in terms of the Harish-Chandra character of the...

This talk will recall the Birch--Swinnerton-Dyer Conjecture and describe highlights of the progress towards it, both pre- and post-millennium.  This will largely be a repeat of the speaker's plenary talk from the 2025 Clay Research conference on the...

What is the relative computational power of time and space? Tree evaluation (TreeEval) has become a central problem in understanding this question, especially after its application by Williams (STOC 2025, IAS CSDM seminar 9/23/25) to prove a...

This public talk will be centered on John Cassidy's 2025 book, Capitalism and Its Critics, which provides a helpful framework for periods of economic disruption—like the one that AI seems likely to usher in.

John Cassidy has been a staff writer at Th...