Past Events

A standard way of presenting a group is to choose a collection of generators and then to specify a list of relations that must be satisfied. These are not always optimal: sometimes there are non-trivial identities among the relations. For example...

Solving differential problems using full order models (FOMs), such as the finite element method, can results in prohibitive computational costs, particularly in real-time simulations and multi-query routines. Surrogate modeling aims to replace FOMs...

Although we often introduce group theory to students using groups of symmetries, we tend to move quickly away from these intuitive representations into the realm of axioms and deductions. There are plenty of good reasons for this, not least of which...

I will review the progress of large language models for mathematics over the last 3 years, from barely solving high school level mathematics to solving some minor open problems in convex optimization, combinatorics and probability theory. The...

Classical Iwasawa theory studies the variation of arithmetic invariants, such as ideal class groups, along infinite towers of number field extensions. Over the years, these ideas have been extended to a wide range of arithmetic objects, including...

The inverse eigenvalue problem has played a central role in spectral graph theory in the last decade. In this talk, I shall be interested in a particular parameter, namely the minimum number of distinct eigenvalues of a graph G, i.e., in the minimum...

I will give a (necessarily woefully incomplete) introduction to the measure classification paradigm in homogenous dynamics, and discuss one source of invariant measures and application of this paradigm: the Quantum Unique Ergodicity problem.

We consider isogenies on Jacobians J of genus 3 curves with a kernel that is a maximal isotropic subgroup of the 2-torsion J[2] and confront a phenomenon that is new in genus 3: for genus 1 and 2 the codomain is generally again a Jacobian of a curve...

Let $T$ be a tree in which no vertex has degree $2$. A Halin graph is a planar graph obtained by connecting all leaves of $T$ into a cycle in their planar order. The idea of universal originates from a question of John W. Moon (1965). Consider all...

Immune cells perform exquisite feats of collective organization, assembling into tissues that can shapeshift to meet functional demands. Dispersed, gas-like immune cells surveil tissues for threats; liquid-like germinal centers enable the rapid...