Mathematical Activities and Awards

Abstract of the talk: 

In this talk, we will give a brief introduction to the basic notations and concepts related to Modular Forms. We will then introduce Ramanujan’s tau-function, which first appeared in his celebrated 1916 paper. We will present the three famous conjectures proposed by Ramanujan concerning the tau-function, together with some historical remarks. The proofs of the first two conjectures will be outlined using the theory of Modular Forms and Hecke operators, while a weaker bound toward the third conjecture will be presented via Dirichlet series attached to Modular Forms. 

As part of the Pi-Day 2025 celebrations at IIT Gandhinagar, I, along with my teammates Arindam and Rishabh, presented a poster titled "Into the World of Modular Forms". The poster introduced the historical evolution, core ideas, and applications of modular forms, with a special emphasis on Srinivasa Ramanujan’s contributions and their profound influence on number theory. Aimed at both mathematical and non-mathematical audiences, the poster blended clarity with depth and was awarded First Prize in the competition.

As part of the Ganitavriksh student seminar initiative, I delivered a talk titled "The Chocolate that sweetened over Time", focusing on his life, the journey of shifting from Physics to Mathematics, major mathematical contributions, and the philosophical depth of his approach to mathematics. The talk aimed to highlight how Harish-Chandra’s perseverance, intellectual integrity, and visionary thinking shaped the development of Modern Representation Theory, while also offering inspiration through the human aspects of his life and work.