Past Events

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...

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...

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...

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...

Let $\rm{ord}_p(a)$ be the order of $a$ in $( \mathbb{Z} / p \mathbb{Z} )^*$. In 1927, Artin conjectured that the set of primes $p$ for which an integer $a\neq -1,\square$ is a primitive root (i.e. $\rm{ord}_p(a)=p-1$) has a positive asymptotic...

This seminar will focus on aspects of the ecology of animal home ranges in which empirically derived movement tracks are viewed as realizations of continuous time, continuous space stochastic processes. Topics will include the distinctions between...