Research

I am currently working in the area of noncommutative geometry for my PhD. I am also interested in compact quantum group, representation theory, theory of tensor categories, von Neumann Algebra, K-Theory. 

1. The Levi-Civita connection and Chern connections for cocycle deformations of Kähler manifolds (with J. Bhowmick) doi J. Geom. Phys.

2.  On two notions of torsion and metric compatibility of connections in noncommutative geometry (with J. Bhowmick and S. Guin). J. Noncomm. Geom. (to appear)

1. Levi-Civita connection on the irreducible quantum flag manifolds (with J. Bhowmick, A.O. Krutov, R.\'O. Buachalla).

1. 'Unitary cocycle deformations of Levi-Civita connections and their relation to Chern connections' at Ganit Symposium on Quantum Groups, IIT Gandhinagar 2026.

2.  'Levi-Cevita connection on the Heckenberger-Kolb Calculi' at the Indo-European Conference on Matheamtics. January 12-16, 2026.

3.  On 'Levi-Civita connection on quantum irreducible flag manifolds' at DMS seminar, IISER, Kolkata. 21st May 2025.

4.  On 'Levi-Civita connection on quantum irreducible flag manifolds' at the Young Mathematicians in Operator Algebra, ISI Delhi. 25th March 2025.

5.  On 'Levi-Civita connection on quantum irreducible flag manifolds' at Conference on Operator Algebra and Related Topics-2025, IIT Bombay. 25th February 2025.

6.  On 'Deducing a formula for the noncommutative Chern Connection for holomorphic vector bundle' at the Q.E.D. Seminar, hosted by Department of Mathematics, Presidency University. 13th September 2024