Topology, Number Theory and Math Physics

Claudio Arezzo studies the geometry of complex algebraic varieties using techniques from analysis and differential geometry
Emanuel Carneiro has research interests in harmonic analysis and its applications to analytic number theory, approximation theory and partial differential equations
Lothar Göttsche is interested in moduli spaces in algebraic geometry and interactions with theoretical physics
Pavel Putrov is interested in mathematical aspects of quantum field theory and its interactions with geometry and topology
Fernando Rodriguez Villegas has research interests in representation theory, combinatorics and symmetric functions as well as computational algebra and number theory
Don Zagier works in number theory, modular forms, arithmetic geometry and quantum invariants in 3-dimensional topology