Past Events

In an instance of the (metric) traveling salesperson problem (TSP), we are given a list of n cities and their pairwise symmetric distances satisfying the triangle inequality, and we want to find the shortest tour that visits all cities exactly once...

Any translation surface can be presented as a collection of polygons in the plane with sides identified. By acting linearly on the polygons, we obtain an action of GL(2,R) on moduli spaces of translation surfaces. Recent work of Eskin, Mirzakhani...

A connected matching is a matching contained in a connected component. A well-known method due to Łuczak reduces problems about monochromatic paths and cycles in complete graphs to problems about monochromatic matchings in almost complete graphs. We...

The congruent number problem is the following question. Consider a right-angled triangle; what natural numbers can arise from its area, all of whose sides have lengths that are rational numbers? Though this question is easy to frame, it is related to...

We obtain the asymptotic formula with an error term O ( X 1 2 + ε ) O ( X 1 2 + ε ) for the smoothed first moment of quadratic twists of modular L L -functions. The argument is largely based on a recursive method of Young (Acta Arith. 138(1):73–99...

Any translation surface can be presented as a collection of polygons in the plane with sides identified. By acting linearly on the polygons, we obtain an action of GL(2,R) on moduli spaces of translation surfaces. Recent work of Eskin, Mirzakhani...

We describe a thin family of Dirichlet L-functions which have an irregular and perhaps unexpected behavior in their value distribution. This behavior has an arithmetic explanation and corresponds to the nonvanishing of a certain Gauss type sum. We...

Nati Linial raised the following basic problem in 2006: given a k-dimensional simplicial complex S, how many facets can a k-complex on n vertices have if it contains no topological copy of S? This is a beautiful and natural question, but results in...

Abstract