Past Events

In this talk, I will describe how certain non-linear exponential tilts of the Discrete Gaussian Free Field yield invariant measures for a discretized PDE, the focusing Non Linear Schr\”odinger equation. I will briefly talk about how this tilted...

Intraguild predation (IGP) consists of two (or more) consumers of the same shared resource exhibiting a predator-prey relation among themselves, and is a very present phenomena in terrestrial, freshwater and marine ecological systems. Theoretical...

The notions of Hausdorff and Fourier dimensions are ubiquitous in harmonic analysis and geometric measure theory. It is known that any hypersurface in ℝd+1 has Hausdorff dimension d. However, the Fourier dimension depends on the finer geometric...

I will discuss the fourth moment of quadratic Dirichlet L-functions where we prove an asymptotic formula with four main terms unconditionally. Previously, the asymptotic formula was established with the leading main term under generalized Riemann...

POSTPONED: Unfortunately this event has been postponed at short notice. It will no longer take place on March 18th, but will be rescheduled for later in the summer About Land and Sea: Mathematics of the Climate Crisis-A Global Conversation is the...

Since shortly after the popularization of stochastic gradient optimization methods in machine learning---which now scale model training to billions of examples and beyond---researchers have been trying to use the same basic data subsampling...

Single-cell omics data play a pivotal role in identifying cell-to-cell heterogeneity, understanding cell differentiation, unveiling cell population structures, and ultimately deciphering disease pathogenesis. Due to inherent high-dimensionality...

I will describe some connections between arithmetic geometry of abelian varieties, non-archimedean/tropical geometry, and combinatorics. For a principally polarized abelian variety, we show an identity relating the Faltings height and the Néron--Tate...

In this talk, I will introduce the restricted Euler and hypodissipative Navier-Stokes equations. These equations are analogous to the Euler and hypodissipative Navier-Stokes equations, respectively, but with the Helmholtz projection replaced by a...

The topic of this talk is on Blackbox optimization (BBO), the study of applications, attributes, and solutions of optimization problems in which the values of one or more of the functions defining the problem are provided through blackboxes. The Mesh...