Previous Conferences & Workshops

In this talk, I'll first give a broad overview of the history of combinatorial auctions within TCS, and then discuss some recent results.

Combinatorial auctions center around the following problem: There is a set M of m items, and N of n bidders...

In this talk, I will specify a Turing machine T and prove the following about it. 1. On input C/K a smooth projective hyperbolic curve over a number field, if T halts, then its output is C(K). 2. The Hodge, Tate, and Fontaine-Mazur conjectures imply...

The Lefschetz property is central in the theory of projective varieties, detailing a fundamental property of their Chow rings, essentially saying that the multiplication with a geometrically motivated class is of full rank.

We drop the keyword...

Let K be a convex body in $R^n$. In some cases (say when K is a cube), we can tile $R^n$ using translates of K. However, in general (say when K is a ball) this is impossible. Nevertheless, we show that one can always cover space "smoothly" using...

We prove that at least 2/21 of all integers can be written as a sum of two rational cubes, and at least 1/6 of all integers cannot. More generally, in any cubic twist family of elliptic curves, at least one 1/6 of curves have rank 0 and at least 1/6...

Following Birkhoff's proof of the Pointwise Ergodic Theorem, it has been studied whether convergence still holds along various subsequences. In 2020, Bergelson and Richter showed that under the additional assumption of unique ergodicity, pointwise...

Lecture 1: 10:15-11:15

On The Cover Time of Random Walks on Graphs

How long does it take for a random walk to cover all the vertices of a graph? 

And what is the structure of the uncovered set (the set of points not yet visited by the walk) close...

Orbits of many coregular representations of algebraic groups are closely linked to moduli spaces of genus one curves with extra data. We may use these orbit parametrizations to compute the average size of Selmer groups of elliptic curves in certain...