Point counting and cohomology for moduli spaces of curves

I will discuss recent progress on counting the number of isomorphism classes of curves of a given genus over a finite field, with and without marked points, and applications to the cohomology of moduli spaces of smooth and stable curves.

Sam Payne is a Professor of Mathematics at the University of Texas at Austin. You can learn more about Professor Payne here: https://web.ma.utexas.edu/users/sampayne/