Past Events

It is common in probability theory and statistics to study distributional convergences of sums of random variables conditioned on another such sum. In this talk I will present a novel approach using Stein’s method for exchangeable pairs that allows...

In 1896, the prime number theorem was established, showing that π(x) ∼ li(x). Perhaps the most widely used estimates in explicit analytic number theory are bounds on |π(x)-li(x)| or the related error term |θ(x)-x|. In this talk we discuss methods one...

Abstract: We investigate the interaction between a Platonic solid and an unbounded inertial flow. For a fixed Platonic particle in the flow, we consider three different angular positions: face facing the flow, edge facing the flow, and corner facing...

This paper extends the current investigations on the famous long-time open conjectures by Stanley-Stembridge and Shareshian–Wachs with the q-parametrized version. We expand the chromatic symmetric functions for Dyck paths of bounce number three in...

I will discuss a joint work with Jacek Jendrej (CNRS, U. Sorbonne Paris Nord) on the harmonic map heat flow for maps from the plane to the 2-sphere, under equivariant symmetry. It is known that solutions can exhibit bubbling along a sequence of times...

Markov decision problems and reinforcement learning have been active research areas in the past decade. Compared with the rapid algorithmic developments, the linear/convex programming formulations of the Markov decision problem are less well-known...

Topological quantum field theories (TQFTs) are one of several mathematical approaches to quantum field theory in physics. They were introduced by Atiyah in the 1980s. The cobordism hypothesis, proposed by Baez and Dolan in the 1990s, is a statement...

The data association problem is the difficult part of the multi-object tracking problem. The problem is to: (i) classify measurements (e.g., position, shape, etc) as true positives or false positives, ( ii) classify tracked objects as observed (i.e...

Kummer theory is a classical theory about radical extensions of fields in the case where suitable roots of unity are present in the base field. Motivated by problems close to Artin's primitive root conjecture, we have investigated the degree of...