Area of Interest:
Algebraic geometry, Modular forms, Diophantine equations.

Area of Interest:
Group theory, Lie groups, Field arithmetic, Algebraic groups, Discrete subgroups of Lie groups, Combinatorics, Representation theory.

Area of Interest:
Mathematical logic, Set theory.

Area of Interest:
Spectral Geometry, Geometry of Eigenfunctions, Harmonic functions - continuous and discrete, Analysis & PDEs.

Area of Interest:
Calculus of variations, differential geometry, applications to mechanics, materials science and spaces of mappings.

Area of Interest:
Lie groups, Discrete subgroups, Ergodic theory.