##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Tim Browning

#### MSRI and University of Bristol

## The circle method and rational curves on smooth hypersurfaces

##### Abstract:

I will discuss recent joint work with Pankaj Vishe, in which we are able to say something about the naive moduli space of rational curves on arbitrary smooth hypersurfaces of sufficiently low degree, by invoking methods from analytic number theory.

Host: Alina Bucur

### May 18, 2017

### 2:00 PM

### AP&M 7321

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