Number theory, representation theory of p-adic groups, algebraic geometry
Thomas Rüd is a postdoctoral fellow in number theory. His research is mainly focused on representations of algebraic groups over p-adic fields, as well as orbital integrals and buildings associated to such groups. His research also includes questions over global fields such as the local-global principle for G-torsors.
His work includes results on admissibility of any locally compact totally disconnected groups, mass formulae for isogeny classes of specific types of abelian varieties, and explicit computations of Tamagawa numbers for algebraic tori.