Junior research group "Symmetries in number theory"
Mentors
Ralf Meyer, Preda Mihailescu, Samuel Patterson, Yuri
Tschinkel
Research goals are in particular
Spectral interpretation of zeros of
L-functions, asymptotics of Gauss sums and of Fourier coefficients of
theta series, rational points on higher dimensional varieties,
foundations of computational aspects. Physical interpretations of special
values of polylogarithms.
Methods include
Hopf algebra actions. Hecke algebras, Frobenius
symmetries, automorphic forms, symbolic computations, automatic theorem
proving.
Coordinator: Thomas
Schick