I will discuss recent advances in our understanding of the stable homotopy groups of spheres using formal groups, modular forms, and  (time permitting) motives.

In this talk we investigate stochastic chemical reaction networks with scaling methods. This approach is used to study the stability properties of the associated Markov processes, but also to investigate the transient behavior of these networks. It may give insight on the impact of complex features of these networks such as their polynomial rates, leading to the coexistence of multiple timescales. Several examples are discussed.

Please contact Professor Williams for zoom information.

When Steven Strogatz wrote a 15-part series on the elements of math for the New York Times, to his surprise — and his editor's — each piece climbed the most emailed list and elicited hundreds of appreciative comments. In this talk Steve will describe his adventures in bringing math to the masses, and will reflect on what works… and what doesn’t.

Steven Strogatz is the Jacob Gould Schurman Professor of Applied Mathematics at Cornell University. He works on nonlinear dynamics with applications to physics, biology, and the social sciences. His latest book, Infinite Powers, was a New York Times bestseller and was shortlisted for the 2019 Royal Society Science Book Prize.

Presented by the UC San Diego Research Communications Program and supported by a grant from the Gordon and Betty Moore Foundation.