Oct 11 2019

# Number Theory Seminar: Counting subrings of $\mathbb{Z}^n$ of non zero co-rank, by Sarthak Chimni

October 11, 2019

9:30 AM - 10:20 AM

1227 SEO

Chicago, IL

## Calendar

Sarthak Chimni (University of Illinois at Chicago): Counting subrings of $\mathbb{Z}^n$ of non zero co-rank

In this talk I will report on a joint work with Gautam Chinta and Ramin Takloo-Bighash
in which we study subrings of $\mathbb{Z}^{n+k}$, of $(n+k)$-tuples of integers, of co-rank $k$.
We relate the number of subrings $R$ such that the torsion subgroup of $\mathbb{Z}^{n+k}/R$ is of size $r$
to the number of full rank subrings of $\mathbb{Z}^n$ of index $r$.

The seminar lasts 80 minutes (9:30am-10:50am).

## Contact

Alina Carmen Cojocaru

Oct 22, 2019

Oct 22, 2019