I am researching arithmetic analogues of topological quantum field theories. The prevailing example is arithmetic Chern-Simons theory, invented in 2015 by Minhyong Kim. The theory is based on similiarities between the cohomology of a 3-manifold and the etale cohomology of the ring of integers of a number field. In special cases it is well understood, e.g. for totally imaginary number fields that contain the n-th roots of unity, the action of arithmetic Chern-Simons theory modulo 2 coincides with the Legendre symbol.
Seminar "Function fields" SoSe22
Teaching Assistant Algebraic number theory III SoSe22
Teaching Assistant Algebraic number theory II WiSe21
Teaching Assistant Algebraic number theory I SoSe21
Teaching Assistant Linear algebra I SoSe20