Research
My primary area of expertise and research interest is the part of number theory centered around Dwork's p-adic Theory, p-adic Analysis and Zeta Functions. My Ph.D. thesis advisor is Dr. Steven Sperber. My thesis can be downloaded here: (Full Document) (Presentation Slides)
I am also interested in several other fields such as Cryptology, Mathematics Education, Philosophy of Mathematics, Machine Learning and Data Science.
In the past, I have also done some research work in the field of Wireless Communications and Signal Processing (more specifically Information Theory for Communication Networks) under the supervision of Dr. Nihar Jindal.
Talks:
On Some Applications of a Generalized Dwork Trace Formula, AMS Fall Eastern Sectional Meeting, Binghamton University, October 2019
The p-adic Numbers and Applications, at the Math Club Seminars at Normandale Community College and at the University of Minnesota, February & March 2017
On Some Applications of a Generalized Dwork Trace Formula, Joint Mathematics Meetings: Atlanta, January 2017
An Exposition on the Proof of Dwork’s Rationality Theorem, MAA-NCS Fall Meeting: Minneapolis, October 2016
Hasse-Weil Zeta Function and Dwork’s Rationality Theorem, Student Number Theory Seminar: University of Minnesota, November 2013
Poster: Interference Diversity in Random Access Networks, Information Theory of Mobile Adhoc Networks (ITMANET) Program Meeting conducted by the Defense Advanced Research Projects Agency (DARPA), December 2007
An Introduction to Large Deviations Theory, Seminar for Data Compression class: Birla Institute of Technology and Science, Pilani, India, November 2005