Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory

On Random Polynomials and Counting Number Fields: Fourier Analysis Meets Arithmetic Statistics

Abstract: Behaviors of objects of algebraic interest, such as polynomials, elliptic curves and number fields -- many of which are still unknown -- fall into the field of arithmetic statistics..  By bringing in Fourier analysis to interplay with a wide variety of number theoretic techniques, we were recently able to improve our counting tools.  Today I'll discuss predicting random polynomials and determining how many number fields of a given degree there are, both using these techniques in different ways.

Date & Time

February 27, 2023 | 2:00pm – 3:00pm


Simonyi Hall 101 and Remote Access


Theresa Anderson


Carnegie Mellon University