Counting special points on quadratic surfacesMPIM

by Saurabh Singh (Indian Institute of Technology Kanpur/MPIM)

Wednesday Jun 18, 2025, 2:30 PM → 3:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Number theory lunch seminar

We show that the modern version of the circle method powered by the equidistribution of quadratic roots allows us to count special points on quadratic surfaces. For example, we obtain asymptotics for integer points on quadratic surfaces with prime coordinates and in short intervals.