Past Events

In '99, David Aldous conjectured that a certain natural "random walk" on the space of binary combinatorial trees should have a continuum analogue, which would be a diffusion on the Gromov-Hausdorff space of continuum trees. This talk discusses...

The Min system in E. coli is one of the simplest known biological systems that demonstrates diverse complex dynamic behavior or transduces local interactions into a global signal. Various mathematical models of the Min system show behaviors that are...

To a 3-manifold with torus boundary, we can associate an element of the Fukaya category of the punctured torus—that is, a collection of immersed curves in the torus, decorated with local systems—such that when two such manifolds are glued the...

There is growing concern about fairness in algorithmic decision making: Is it treating different groups fairly? How can we make it fairer? And what do we even mean by fair? In this talk I will discuss some of our work on this topic, focusing on the...

Suppose G is a finite group of order 6pq such that p and q are distinct prime numbers. It is conjectured that, if S is any generating set of G, then there is a Hamiltonian cycle in Cay(G;S). The talk will discuss a special case of this problem which...

Recently Xiuxiong Chen and Jingrui Cheng have made a breakthrough on the existence of constant scalar curvature metrics on compact Kahler metrics, in view of Calabi-Donaldson program and Yau-Tian-Donaldson conjecture. The essential new input is a...

Take the n by n box in the square lattice and fill it with integers where the integers on adjacent vertices only differ by +1 or -1. How large can a typical value be? We prove that the variance at a point blows up like log n which in particular...

Microbial communities play major roles in human health and disease and dominate global biochemi­cal cycles. Many proper­ties of these communities emerge from interactions between its mem­ber species and cannot be understood based on the properties of...

A Smith inequality refers to a rank inequality between the homology of a space with a G action and the homology of its fixed set. In the case of G = Z/2, I will discuss an analog of this statement for the Knot Floer homology of periodic knots...

TBA