Lie groups and homogeneous spaces
Ph.D., Tata Institute of Fundamental Research, Mumbai, India, 2002
- Visiting Assistant Professor, Department of Mathematics, Oklahoma State University, Stillwater, 2002--2003.
- G.C. Evans Instructor, Department of Mathematics, Rice University, Houston, 2003--2006.
- Fellow E, The Institute of Mathematical Sciences, Chennai, 2006--2010.
- Reader F, The Institute of Mathematical Sciences, Chennai, 2010--2015.
- Professor G, The Institute of Mathematical Sciences, Chennai, 2015--Present.
- Lie groups and Lie algebras
- Number theory
- Discrete subgroups of Lie groups
- Lattices and arithmetic groups
- Algebraic groups
- Differentiable manifolds and Lie groups
- Riemannian geometry
- Symmetric spaces