Latest Events
Research Seminar by Dr. Jagannath Bhanja, on 7 August, at 05:00 PM
Title of the talk: Inverse Problem in Additive Number Theory
Date , Time & Venue :7 August 2025 , 5 PM , Seminar Hall, Dept. of Mathematics
Abstract: An inverse problem in additive number theory is to uncover the underlying structure of sets of integers or subsets of abelian groups from information about their sumsets. In this talk, we will discuss what we can deduce about the set A if we know that the sumset A+A is small. We will start with a brief survey of some key results in this area, including the infamous Freiman’s 3k−4 theorem, which characterizes sets with small doubling. We then try to answer a 30-yearold question of Melvyn Nathanson on the subset sum set. Along the way, we will also discuss some open problems in this direction.
About the Speaker: Dr. Jagannath Bhanja is currently working as an Assistant Professor in the Department of Sciences and Humanities at the Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Kancheepuram.
Prior to his joining at IIITDM, he worked as a postdoctoral fellow at the Institute of Mathematical Sciences, Chennai and the Harish-Chandra Research Institute, Prayagraj. He received his Ph.D. degree from the I.I.T. Roorkee. His research interests include Additive Number Theory and Extremal Combinatorics.
