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Research Seminar by Dr. Rajat Gupta, 12 August, at 12:00 PM

Title of the talk: "The Mathematical Garden of Ramanujan and Koshliakov: An Excursion Through Partition Theory and Analytic Number Theory"
Date, Time & Venue: 12 August 2025 at 12 PM, Seminar Hall, Dept. of Mathematics
Abstract: I will start the talk by introducing the different areas I am currently working in: the theory of partitions, mock theta functions, and analytic number theory. I will provide a brief yet accessible overview of these topics to ensure a broad audience can follow the discussion. Following this introduction, I will delve into one of my most exciting results on Koshliakov’s zeta function, outlining its motivation and significance. If time permits, Along with that, I will highlight some of my most recent findings. I will conclude the talk by presenting several open problems and potential future research directions, encouraging further exploration and collaboration in these areas. This talk is based on three key research projects: my solo work, a collaborative project with Atul Dixit, and a recent joint work with Madeline Dawsey.
About the Speaker: Dr. Rajat Gupta is currently a Fixed-Term Lecturer at the University of Maine, USA. He earned his Ph.D. in Mathematics from the Indian Institute of Technology Gandhinagar in December, 2021. He held postdoc positions at the University of Texas at Tyler, USA (2023 -- 2024) and at the Institute of Mathematics, Academia Sinica, Taiwan (2022). His research interests lie in analytic number theory, modular forms and harmonic Maass forms, special functions, and combinatorics.