An improvement to the Schmidt bound

Jerry Wang, Department of Pure Mathematics, University of Waterloo

Counting number fields of fixed degree and bounded discriminant is a classical question in arithmetic statistics. The problem is known in degrees at most 5. In this talk, we will talk about an improvement to Schmidt's upper bound for general degree n, which beats existing improvements for n up to 94. This is joint work with Manjul Bhargava and Arul Shankar.

This seminar will be held jointly online and in person:

• Room: MC 5479
• Zoom information: https://uwaterloo.zoom.us/j/92724311110?pwd=bWV6cjVqQ1Jra1pPMXZhbjhpaEFLQT09