Mathematical and Physical Sciences

Prior to joining Ahmedabad University, Professor Eshita Mazumdar was associated with the Indian Statistical Institute, Bangalore, as National Board for Higher Mathematics Postdoctoral Fellow. During 2018-19, she was a visiting faculty at IIT Jammu, and previously was a postdoctoral fellow at IIT Bombay and Nankai University, China. She was awarded the National Natural Science Foundation of China (NSFC) Grant for doing postdoctoral work at Nankai University. She also received the Erasmus+ International Program (K 107) grant for collaboration and travel.

Professor Mazumdar received her PhD in 2016 from the Homi Bhabha National Institute, Department of Atomic Energy, under the guidance of Professor S.D. Adhikari. She did her MS from IIT Kharagpur, and her BS from the University of Calcutta. Currently her areas of interests lie in combinatorics and  number theory. Professor Mazumdar is an Assistant Professor in the Mathematical and Physical Sciences division of the School of Arts and Sciences
 

Professor Mazumdar’s areas of interest are combinatorics and number theory. She worked on zero-sum theory which is a kind of combinatorial problem. A lot of group theoretic, probabilistic and number theoretic methods are involved in such problems. She is also interested in working on algebraic combinatorics and diophantine equations, which involve deep knowledge of representation theory, graph theory and number theory. Besides that, her broad research interests lie in several areas of mathematics including computational algorithms.

• Shalom Eliahou and Eshita Mazumdar, Iterated sumset and Hilbert function (To Appear), J.Algebra.
• Eshita Mazumdar and Rameez Raja, Group Annihilator Graphs for a finite abelian group and its properties (To Appear), Graphs and Combinatorics.
• Niranjan Balachandran and Eshita Mazumdar, The Weighted Davenport constant of a group and a related extremal problem -II, (To Appear), European J. Combinatorics.
• Niranjan Balachandran and Eshita Mazumdar, Zero sums in restricted sequences, Discrete Mathematics,344 (7),112394, (2021).
• Niranjan Balachandran, Eshita Mazumdar and Kevin Zhao, The Harborth Constant of Dihedral Groups, J. Ramanujan Mathematical Soc., 35(2), 177-189, (2020).
• Niranjan Balachandran and Eshita Mazumdar, The Weighted Davenport constant of a group and a related extremal problem, Electronic J. Combinatorics, 26(4) (2019).
• Eshita Mazumdar and S. S. Rout, Prime powers in sums of terms of binary recurrence sequences, Monatshefte fur Mathematik, 189(4), 695-714 (2019).
• Eshita Mazumdar and Sneh Bala Sinha, Modification of Griffiths’ result for even integers, Electronic J. Combinatorics 23 (4) (2016).
• Sukumar Das Adhikari, Eshita Mazumdar and Bhavin K. Moriya, Relations between two weighted zero-sum constants, Integers 16 (2016), A20, 13 pp.
• Sukumar Das Adhikari and Eshita Mazumdar, The polynomial method in the study of zero-sum theorems, Int. J. Number Theory, vol.11, no. 5 (2015) 1451-1461.
• Sukumar Das Adhikari and Eshita Mazumdar, Modification of some methods in the study of zero-sum constants, Integers 14 (2014), A25, 15 pp.
• Sukumar Das Adhikari, Eshita Mazumdar and Sneh Bala Sinha, Erd˝os, Ginzburg and Ziv Theorem: Various proofs and some generalizations, Proceedings of the 21st Annual Conference of Jammu Mathematical Society and a National Seminar on Analysis and its Application (2011) 41 pp.

Submitted:

• Shalom Eliahou and Eshita Mazumdar, Optimal bounds on the growth of iterated sumsets in abelian semigroups. 

Preprints:

• Eshita Mazumdar and Arindam Roy, Product of polynomials values being large power.
• Eshita Mazumdar, Harborth Constant of the group Cp+Cpn.
   

At IIT Jammu:

• Calculus (IIT Jammu)
• Algebra (IIT Jammu)

At Ahmedabad University:

• Intermediate Calculus (MAT 146)
• Discrete Mathematics (MAT 101)