Professor
Ph.D., The University of Chicago — Finite Group Theory
Geline works in the representation theory of finite groups, focusing on the interplay between rationality questions — the arithmetic properties of group characters and Schur indices — and some of the deepest open conjectures in modular representation theory, including Brauer's height zero conjecture and McKay's conjecture. His approach is distinctive: rather than working through families of groups of Lie type, he draws on the theory of vertices and sources and the integral representation theory of p-groups to illuminate local-global principles at different primes. Geline has published in the Journal of Algebra, the Bulletin of the London Mathematical Society, and Algebras and Representation Theory, and has been twice invited to the Mathematisches Forschungsinstitut Oberwolfach — one of the world's most prestigious mathematics research institutes.
Registration or class questions:
Anders Linner