Past Events

The totally positive flag variety of rank r, defined by Lusztig, can be described as the set of rank r flags of real linear subspaces which can be represented by a matrix whose minors are all positive. We show that, for flag varieties of consecutive...

I will start with a survey on sums of random multiplicative functions, focusing on distributional questions and almost sure upper bounds and $\Omega$-results. In this context, I will describe previous work with Jake Chinis on a central limit theorem...

Students of grades 5 to 7 are invited to challenge and develop their thinking and creativity skills at the Math Circle Workshops. This is an enrichment program for students organized by the faculty members of the Department of Mathematics at the...

The mixing time and spectral gap of a random walk on the symmetric group can sometimes be understood in terms of its low dimensional representations (e.g., Aldous' spectral gap conjecture). It turns out that under a mild degree condition involving...

The rational points of a hyperbolic curve over a number field map to the set of augmentations of the associated motivic algebra. An expectation, closely related to the Grothendieck section conjecture, is that the set of augmentations which are...

We introduce an inexact trust-region method for efficiently solving a class of problems in which the objective is the sum of a smooth, nonconvex function and nonsmooth, convex function. Such objectives are pervasive in the literature, with examples...

It has been known since the 80s, thanks to Conrey and Ghosh, that the average of the square of the Riemann zeta function, summed over the extreme points of zeta up to a height $T$, is $\frac{1}{2} (e^2-5) \log T$ as $T \rightarrow \infty$. This...

Selection acts upon genes tied together on chromosomes. This physical association reduces the efficiency of evolution because, in the absence of sex, alleles must rise and fall together in frequency with the genome in which they are found. In this...

Conference Schedule: 9:15-10am: Welcome/light breakfast 10-11am: Isabella Novik, talk slides 11-11:30am: Coffee break 11:30am-12:30pm: Petter Brändén, talk slides 12:30-2:30pm: Lunch 2:30-3:30pm: Alexander Woo, talk slides 3:30-4pm: Coffee break 4...

The existence and the number of solutions of a system of polynomial equations in n variables over an algebraically closed field is a classical topic in algebraic geometry. Much less is known about the existence of solutions of a system of polynomial...