Past Events

The Haglund--Haiman--Loehr theorem (2005) provides a combinatorial formula for the modified Macdonald polynomials, highlighting the surprising connections between modified Macdonald polynomials and combinatorial statistics such as the major index and...

We will introduce Random Spanning Trees in Random Environment (RSTRE), a disordered system on spanning trees that interpolates between the Uniform Spanning Tree (UST) and Minimum Spanning Tree (MST) measures. Our primary goal is to study how local...

In this talk, I will describe the mathematics behind proving lower bounds on quantum circuit depth using light-cone arguments. These arguments have been used to prove lower bounds on the complexities of physically relevant ground states. No quantum...

A classical problem in signal recovery is to determine whether a finite signal can be recovered from its Fourier transform with missing values. This problem has been studied by many authors starting with the seminal papers by Matolsci and Szuks in...

Given a finite transitive group G ≤ Sym(Ω), a set F ⊂ G is intersecting if for any g, h ∈ G, there exists ω ∈ Ω such that ω g = ω h . The intersection den- sity ρ(G) is the maximum ratio of |F| |Gω| , where F runs through all intersecting sets of G...

This talk presents the Proximal Galerkin (PG) method, a high-order numerical method for solving variational problems with inequality constraints. PG combines two foundational ideas from applied mathematics: Galerkin discretizations of partial...

A guiding question in arithmetic statistics is: Given a degree $n$ and a Galois group $G$ in $S_n$, how does the count of number fields of degree $n$ whose normal closure has Galois group $G$ grow as their discriminants tend to infinity? In this talk...

A 2-cell embedding of a graph G in an orientable surface of genus k is an embedding in which each face is homeomorphic to an open disk. The distribution of genus across all 2-cell embeddings of G is called the genus distribution of G. In this talk...

A unitary connection on the 2-sphere is called transparent, if its parallel along all great circles is the identity. In the scalar case this is equivalent to the connection being odd up to gauge, but for higher ranks the situation is more intricate...

Mathematical biology offers powerful tools to tackle pressing problems at the interface of health and public policy. In this talk, I will share two vignettes demonstrating how mathematical and simulation modelling can be applied to tobacco regulatory...