Research

                                                                      Current Work (PhD)

I am mainly interested in the area of  Homological Algebra, Algebraic geometry, Mackey functors, Finite group Representations, Galois Cohomology, K-theory, and skew field theory. I am currently working on two different research problems:

•  Weak Lefschetz properties of the almost complete intersection ideals.

• Classification of higher dimensional tori and toric varieties over an arbitrary field. 

                                                                       Masters' Thesis 

Aug 2019 - June 2020: Connectivity of the tropical double ramification cycle, Supervision of Dr. Dmitry Zakharov, CMU, Department of Mathematics, Michigan, United States. 

(In this master’s thesis, we studied the connectivity properties of a polyhedral object known as the tropical double ramification DR cycle. We proved that the tropical DR cycle has the same connectedness property for a particular choice of parameters. )