Several complex variables, partial differential equations, differential geometry.
Riemann surfaces, number theory, algebraic geometry and computation
Partial differential equations, several complex variables.
Hyperbolic manifolds, discrete groups, low dimensional topology with a particular interest in connections to number theory and moduli spaces.
Harmonic analysis, complex variables, partial differential equations, differential geometry.
TeichmÃ¼ller theory, minimal surfaces, harmonic maps.