Room 300, School of Arts and Sciences
Central Campus
Zero-sum problems, rooted in additive combinatorics, explore conditions under which a sequence over a finite group contains a zero-sum subsequence with certain properties. Central to this area are group invariants such as the Davenport constant and the Erdős–Ginzburg–Ziv constant. Originally motivated by questions in non-unique factorization in number fields, these invariants remain difficult to determine even for finite abelian groups. In this talk, I will focus on recent developments in zero-sum problems over finite non-abelian groups, highlighting intriguing connections between the invariants of abelian and non-abelian structures.
Eshita Mazumdar is an Assistant Professor at Ahmedabad University. Her research primarily focuses on Combinatorial Number Theory and Additive Combinatorics. She earned her PhD from Homi Bhabha National Institute (HRI, Prayagraj). Prior to joining Ahmedabad University, she held postdoctoral positions at ISI Bangalore, Nankai University (China), and IIT Bombay. She also served as a Visiting Faculty at IIT Jammu for one year. In recognition of her strong research performance, she was awarded the Chairman’s Research Award by Ahmedabad University last year.
