听Anders Mah
Abstract
An affine hypersurface is the set of solutions to a polynomial equation. In this talk, we introduce some new upper and lower bounds for the number of rational points on affine hypersurfaces and with each component of bounded height. This is a relatively new model of point counting with very few results in this direction. Our results rely on a new quantitative version of Hilbert's irreducibility theorem, which is of independent interest.
听
Speaker
Research area
Pure Mathematics
Affilation
UNSW
Date
Wednesday August 6, 2025, 12:30 pm
Location
Room 4082, Anita B. Lawrence