Theresa Kaiser
PhD Student
Biography
Theresa Kaiser is a PhD student in the Arithmetic Geometry group at Heidelberg University, working under the supervision of Prof. Dr. Gebhard Böckle. Her research focuses on algebraic number theory, particularly congruence modules, Hecke algebras, and Galois representations. She is involved in projects studying the Wiles-Lenstra-Diamond numerical criterion and its applications to modular forms and arithmetic geometry.
Research Interests
Congruence modules, Wiles-Lenstra-Diamond numerical criterion, Hecke algebras, Galois representations, Cohen-Macaulay modules, commutative algebra
Publications
$U$-Operators Acting on Harmonic Cocycles for $\mathrm{GL}_3$ and Their Slopes (2025)
arXiv preprint arXiv:2503.00141