Frank Calegari is a number theorist at the University of Chicago whose work lies in arithmetic geometry and the Langlands program. His research investigates deep connections between Galois representations and automorphic forms, drawing on methods from homology, commutative algebra, arithmetic geometry, and group theory. His recent work concerns periods, numbers arising as values of definite integrals, and special values of L-functions. Together with Vesselin Dimitrov and Yunqing Tang, he proved the first new irrationality result for a specific value of a classical L-function since Apéry’s 1978 proof that the sum of the reciprocals of the cubes of positive integers is irrational. He was elected to the American Academy of Arts and Sciences in 2025 and received the 2026 AMS Frank Nelson Cole Prize in Number Theory.
Professional position
- Professor, Department of Mathematics, University of Chicago
