Upcoming Events

384I

Abstract: This talk will describe a global stability result for a nonlinear anisotropic system of wave equations. This is motivated by studying phenomena involving characteristics with multiple sheets as encountered in, for example, the study of light in a biaxial crystal. For the proof, we …

Abstract: We describe the construction of gradings in Legendrian Contact homology, beginning with an overview of Maslov & Conley-Zehnder indices and continuing with a discussion of their roles in determining gradings for contact homologies. 

We prove, in this joint work with Maksym Radziwill, a 1978 conjecture of S. Patterson (conditional on the Generalised Riemann hypothesis)
concerning the bias of cubic Gauss sums.
This explains a well-known numerical bias in the distribution of cubic Gauss sums first observed…

The classical Erdos–Littlewood–Offord theorem says that for any n nonzero vectors in R^d, a random signed sum concentrates on any point with probability at most O(n^{1/2}). Combining tools from probability theory, additive combinatorics, and model theory, we obtain an anti-concentration…

Given a grid diagram for a knot or link K in S^3, we construct a spectrum whose homology is the knot Floer homology of K. We conjecture that the homotopy type of the spectrum is an invariant of K. Our construction does not use holomorphic geometry, but rather builds on the…