I am a Ph.D. student in the Department of Mathematics at the University of South Carolina (USC), Columbia. I joined the program in Spring 2021. My advisor is Prof. Matthew Boylan. Before starting my PhD, I worked on several research projects in number theory and cryptography, both in India and Hong Kong. I am currently a member of the USC number theory group.
My research focuses on the theory of modular and automorphic forms and their arithmetic applications. I have primarily worked on connections between modular forms and partition theory, investigating congruences and combinatorial structures, as well as applications to Galois representations in understanding the arithmetic of these objects. Building on this foundation, I am interested in expanding my research to explore the rich connections to L-functions, elliptic curves, harmonic Maass forms and mock modular forms, and emerging applications in mathematical physics.
I am exploring opportunities in the formalization of mathematics using proof assistants to make sophisticated arguments in number theory and arithmetic geometry more robust, reusable, and carefully designed machine-learning methods for discovery and pattern-finding in large arithmetic datasets.
I am on the job market during the 2025-2026 hiring cycle.
Here are my documents.
Office: LeConte College, Room 318, Columbia, SC.
Email: s10@email.sc.edu
Research Talks (Videos):
SRNTC 2024 - Congruences modulo prime powers for a class of partition functions Video
12th Heidelberg Laureate Forum (Poster Flash) - Explicit images of the Shimura Correspondence 2-min excerpt (29:00–31:00)
