Past Events

We will explore how a Fourier optimization framework may be used to study two classical problems in number theory involving Dirichlet characters: The problem of estimating the least character non-residue; and the problem of estimating the least prime...

School timetabling is a complex problem in combinatorial optimization, requiring the best possible assignment of course sections to teachers, timeslots, and classrooms. For educational institutions, the Master Timetable dictates to every single...

Given a parabolic subgroup W I of a Coxeter system ( W , S ) , the set of left cosets w W I , for I ⊆ S , w ∈ W , is well-studied. However, the set of double cosets I , J ⊆ S for I , J ⊆ S is a less studied object. I want to analyze the double cosets...

Hierarchical percolation is a toy model for percolation on ℤd that, much like the Euclidean model, is expected to exhibit mean-field behavior in high dimensions, non-mean-field behavior in low dimensions, and mean-field behavior with logarithmic...

The higher-order Titchmarsh problem concerns the correlation between higher divisor functions and primes. In this talk, I will explain how to derive an asymptotic formula for this correlation in appropriate ranges, assuming the existence of a "strong...

In classical homotopy theory, graphs are treated as 1-dimensional CW complexes. But since the classical notions of continuous maps and their homotopies do not respect the discrete nature of graphs, this fails to capture the full combinatorial...

We consider an online strategic classification problem where each arriving agent can manipulate their true feature vector to obtain a positive predicted label while incurring a cost that depends on the amount of manipulation. The learner seeks to...

A big conjecture which emerged from the math-physics interface is that the Gromov-Witten potentials of a Calabi-Yau threefold are generalized quasi-modular objects. In on-going work, joint with Aaron Pixton, we study the case of Picard rank 3 Abelian...

Reactive oxygen species (ROS) often get a bad reputation. They are linked to cancer formation and contribute to aging—not just of the skin but throughout the body. Given these harmful effects, it might come as a surprise that living organisms...

I will discuss various joint works with Luca Nenna and PhD student Joshua Hiew. We show that entropically regularized optimal transport with discrete marginals and general cost functions can be characterized by a well-posed ordinary differential...