Previous Conferences & Workshops

Allen and Chuck will finish their talks.

Miller computed the character table of $S_n$ for some fairly large n's and noticed that almost all of the entries were even. Based on this, he conjectured that the proportion of even entries in the character table of $S_n$ tends to $1$ as $n\to...

Motivated by some work of Thurston on defining a Teichmuller theory based on best Lipschitz maps between surfaces, we study infinity-harmonic maps from a manifold to a circle. The best Lipschitz constant is taken on on a geodesic lamination...

There are striking analogies between topology and arithmetic algebraic geometry, which studies the behavior of solutions to polynomial equations in arithmetic rings. One expression of these analogies is through the theory of etale cohomology, which...

Suppose we have a cancellative binary associative operation * on a finite set X. We say that it is delta-associative if the proportion of triples x, y, z such that x*(y*z) = (x*y)*z is at least delta.

Gowers and Long studied somewhat associative...

DNA rearrangement is observed at developmental and evolutionary scale. The recombination process can be directly modeled by 4-regular graphs and Gauss codes, also called double occurrence words. We discuss properties of these graphs, their spatial...

This talk is about joint work with Nancy Hingston and Alexandru Oancea. We describe various secondary coproducts on the Floer homology of a cotangent bundle and show that, under Viterbo's isomorphism, they all correspond to the Goresky-Hingston...

Following Bourgain, Gamburd, and Sarnak, we say that the Markoff equation $x^2 + y^2 + z^2 - 3xyz = 0$ satisfies strong approximation at a prime $p$ if its integral points surject onto its $F_p$ points. In 2016, Bourgain, Gamburd, and Sarnak were...

It turns out that certain additive patterns in the integers are very hard to get rid of. An instance of this is captured in a conjecture of Erdős, which states that as long as a set of natural numbers is 'somewhat dense' -- namely the sum of the...