Florian Eisele

Dr. Florian Eisele is a Lecturer in Pure Mathematics at the Department of Pure Mathematics, The University of Manchester. His research focuses on modular representation theory of finite groups and representation theory of finite-dimensional algebras. He holds a Doctor rerum naturalium (PhD) in Group Rings over the p-adic Integers from RWTH Aachen University, awarded in 2012.

His research interests include finite group algebras, Picard groups, defect groups, and Zassenhaus conjectures. Notably, he has contributed to counterexamples in algebraic structures and explored topics like Morita Frobenius numbers and derived Picard groups.

Eisele has published extensively on algebraic theories, including works on lattices, Hochschild cohomology, and Donovan’s conjecture. His 2021 Reinhold Baer Prize recognizes his impactful contributions. His articles frequently address advanced topics such as silting complexes, Tate duality, and block theory in modular representation contexts.

He has investigated structures like generalized quaternion defect groups and 2-adic rings, contributing to the understanding of algebraic invariants and module theory. His work bridges abstract algebra with concrete examples, advancing both theoretical frameworks and specific problem solutions in representation theory.