Past Events

I will discuss my joint work with José Carrillo on a large family of Riesz-type singular interaction potentials with anisotropy in two dimensions. Their associated global energy minimizers are given by explicit formulas whose supports are determined...

Deep learning's success has revealed a number of phenomena that appear to conflict with classical inuitions in the fields of optimization and statistics. First, the objective functions formulated in deep learning are highly nonconvex but are...

First example of applying tensor optimization to combinatorial problems was shown in IPCO 1992: pages 406-420. We improve and strengthen those results in several ways and obtain computational results on three problems – graph partitioning...

The self-organization of ordered cortical microtubule arrays plays an important role in the development of plant cells.This is observed to emerge from a combination various factors such as microtubule-microtubule interactions, nucleation, and...

As the underlying configuration behind many elegant finite structures, partial difference sets have been intensively studied in design theory, finite geometry, coding theory, and graph theory. In the first part of this talk, I will showcase that...

In this talk we will talk about explicit estimates for character sums which have allowed us to find explicit estimates for the least quadratic non-residue and other related problems.

In this talk, we consider the gradient flow structure of the porous medium equations with nonnegative constant boundary conditions. We prove that weak solutions to the equations can be obtained by the variational steepest descent scheme by...

Take an Ising model with very low temperature. What is the largest p such that the Ising model dominates Bernoulli percolation with parameter p ? We will show that the answer to this question depends drastically on the geometry of the graph. We also...