Past Events

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...

There is a rich history of domino tilings in two dimensions. Through a variety of techniques we can answer questions such as: how many tilings are there of a given region or what does a random tiling look like? These questions and their answers...

Many modern data science tasks can be expressed as optimizing a complex, random function in high dimensions. The go-to method for such problems is Stochastic gradient descent (SGD), which performs remarkably well—c.f. the success of modern neural...

The array 3     -3    4     -4    5     -5    0     0 4     -4    -3    3     0     0     5     -5 -5    5     0     0     -3    3     -4    4 has an interesting feature: its columns are each vectors satisfying the linear relation 3x + 4y + 5z = 0...

Any construction of a quantum computer requires finding a good set of universal quantum logic gates: abstractly, a finite set of matrices in U(2^n) such that short products of them can efficiently approximate arbitrary unitary transformations. The 2...