I will explain a beautiful theorem of Curt McMullen and Noam Elkies proving that the gaps statistics of the sequence of fractional parts of sqrt(n) is not exponential, confirming a conjecture of Michael Boshernitzan.
The proof makes use of geometry of numbers and transfers the problem into the realm of homogeneous dynamics, where Ratner's measure classification theorem can be utilized.

Here is the zoom info:
https://umich.zoom.us/j/92258297975 Speaker(s): Asaf Katz (U Michigan)