Specialization: Geometry

The focus of this group is mainly in the fields of Riemannian, spectral, differential, algebraic and complex geometries. We delve into geometrical structures and mathematical analysis, pushing the boundaries of theoretical mathematics and applying these insights to solve real world problems.

• Particularly, in the study of moduli space of connections (algebraic/holomorphic/ meromorphic/ logarithmic/ Lie algebroid) on the vector bundles over an algebraic variety, and the geometry of moduli space of Higgs bundles over a compact Riemann surface and smooth projective variety, the area of tensor category, Tannakian category of integrable connections over compact Kahler Manifolds.
• In Spectral Geometry, studies related to shape optimization problems for the eigenvalues of the Laplace operator and Dirichlet to Neumann operator on Riemannian manifolds are explored.

Faculty Members of the group:

• Prof. M. K. Vemuri
• Dr. Sheela Verma
• Dr. Anoop Singh