Research
"It doesn't matter how long it takes, if the end result is a good theorem."
-John Tate
Current Work(PhD)
I am currently working on a problem that broadly uses Arithmetic geometry, Algebraic geometry, Galois Cohomology, K-theory, and skew field theory. This work is still in progress and any further updates will appear here...
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. )