Algebraic Integers of Bounded Height and Given Galois Group

This lecture titled "Algebraic Integers of Bounded Height and Given Galois Group" is presented by Andy O'Desky from Princeton University as part of the Joint Princeton University/Institute for Advanced Study Number Theory seminar series. Explore the question of counting algebraic integers of bounded height with minimal polynomials having specific Galois groups. Learn about an alternative approach to Malle's conjecture using group algebra constructions that enables the application of harmonic analysis and toric variety theory. Discover how this methodology provides a Malle-free determination of asymptotic counts for cyclic Galois groups and offers fresh perspectives on cubic abelian polynomials. The talk takes place on March 27, 2025, at 3:30pm in Simonyi 101 with remote access available.