The study of linear spaces of matrices arises naturally (and
independently) in many different areas of mathematics and computer
science. In this survey talk, I will describe some of these
motivations, and state and prove some (old and new)...
A random walk on expanders, despite its strong underlying
correlations, poses extremely useful pseudorandom properties. The
expander hitting property and the expander Chernoff are two such
classic examples. That is, the AND function and certain...
In the recent breakthrough on the uniform Mordell-Lang problem
by Dimitrov-Gao-Habegger and Kuhne, their key result is a uniform
Bogomolov type of theorem for curves over number fields. In this
talk, we introduce a refinement and generalization of...
An exceptionally gifted mathematician and an extremely complex
person, Floer exhibited, as one friend put it, a "radical
individuality." He viewed the world around him with a singularly
critical way of thinking and a quintessential disregard for...
