Past Events

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...

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...

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 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...

A vanishing sum of roots of unity (VSRU) is a finite list $z_1,\ldots,z_K$ of $N$-th complex roots of unity whose sum is zero. While there are many simple examples—including the famous "beautiful equation" of Euler, $e^{i \pi} + 1 = 0$—such sums...

Please Note: This event has been rescheduled from Oct. 1st to Oct. 8th! Industrial mathematics is a field that spans a broad spectrum of activity ranging from applied R&D performed by mathematicians employed in industry, to purely academic research...