Sarthak Chimni

## Institution:

University of Illinois, Chicago

## Time:

Thursday, May 27, 2021 - 3:00pm to 4:00pm

## Location:

Zoom: https://uci.zoom.us/j/95840342810

An integral ring R is a ring additively isomorphic to Z^n . The subring zeta function is an important tool in studying subring growth in these rings. One can compute these zeta functions using p-adic integration due to a result of Grunewald, Segal and Smith. I shall talk about computing these zeta functions for Z[t]/(t^n) for small n and describe some results on subring growth and ideal growth for integral rings. This includes joint work with Ramin Takloo-Bighash and Gautam Chinta.