##### Department of Mathematics,

University of California San Diego

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### Postdoc Seminar

## Brandon Alberts

#### UCSD

## Power Savings in Number Field Counting

##### Abstract:

We will discuss some of the known power savings for the number of $G$-extensions of a number field with discriminant bounded above by $X$. We will put a focus on the existence of secondary terms in the asymptotic growth rate, and in particular will discuss a proof of the existence of some secondary terms when $G$ is abelian.

### April 14, 2022

### 3:15 PM

APM B402A

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