Past Events

We develop a general framework for identifying phase reduced equations for finite populations of coupled oscillators that is valid far beyond the weak coupling approximation. This strategy represents a general extension of the theory from [Wilson and...

In this presentation, we discuss the Variational AutoEncodeur (VAE): a latent variable model emerging from the machine learning community. To begin, we introduce the theoretical foundations of the model and its relationship with well-established...

Abstract: The insulated conductivity problem is a question about the strength of the electric field between two almost-touching insulators. Mathematically it is a question about harmonic functions which is extremely simple to state, yet the optimal...

We prove that a well-known graphical expansion of the Ising model, known as the Loop O(1) model, is a factor of i.i.d. on unimodular random rooted graphs under various boundary conditions and in the presence of a non-negative external field. As an...

How roots of a polynomial evolve under repeated differentiation is a classical question, which goes back to Gauss, Lucas, Marcel Riesz and many others. The dynamics can be described by a partial differential equation, formally derived by Stefan...

Let G be a finite group acting transitively on X. We say g, h ∈ G are intersecting if gh -1 fixes a point in X . A subset S of G is said to be an intersecting set if every pair of elements in S intersect. Cosets of point stabilizers are canonical...

Motivated by recent work with biologists, I will showcase some mathematical results on Turing instabilities in complex domains. This is scientifically related to understanding developmental tuning in a variety of settings such as mouse whiskers, human...

In longitudinal studies, we measure the same variables at multiple time-points to track their change over time. The exact data collection schedules (i.e., time of participants' visits) are often pre-determined to accommodate the ease of project...

Anderson operator H on a closed Riemannian surface is the random perturbation of the Laplace operator by a space white noise random potential - a distribution of regularity

Joint work with Christophe Garban. The discrete Coulomb gas is a model where an integer amount of charged particles are put on the $d$-dimensional grid. In this talk, I will discuss the basic properties of the Coulomb gas, its connection with other...