Archit Agarwal

Postdoctoral Fellow in Mathematics

National Institute of Science Education and Research (NISER), Bhubaneswar, India

I am a mathematician working in Number Theory, with research interests spanning analytic number theory, partition theory, the circle method, q-series, and modular forms.

My research focuses primarily on q-series identities and their connections with arithmetic functions, modular forms, probability theory, and random graphs. In particular, I study Bressoud–Subbarao type weighted partition identities and divisor-generating q-series, as well as their applications to problems in number theory and related areas.

I am also interested in the circle method to the study of partition functions, including the derivation of Rademacher-type exact formulas and related asymptotic results. More broadly, my work explores problems at the interface of analytic and combinatorial number theory, with an emphasis on developing new identities, generating functions, and analytic techniques.

I completed my Ph.D. in Mathematics at IIT Indore under the supervision of Dr. Bibekananda Maji. My thesis was titled “Ramanujan’s Five Entries, Weighted Partition Identities and Divisor Generating q-Series with Applications to Probability Theory and Random Graphs.”