Mathematical and Physical 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.

Published:

• Naveen Kumar Godara, Renu Joshi and Eshita Mazumdar, Combinatorial invariants for certain classes of non-abelian groups, Journal of Number Theory (Accepted).
• Anamitro Biswas and Eshita Mazumdar, Davenport constant for finite abelian groups of higher rank, Vol. 118, No. 1, pp. 23-34 Mathematical Notes, (2025).
• Shalom Eliahou and Eshita Mazumdar, Optimal bounds on the growth of iterated sumsets in abelian semigroups,  Annales de l'Institut Fourier, 19 p. (2025).
• Eshita Mazumdar and Arindam Roy, Product of polynomial values being large power, Proceedings of Edinburg Math. Soc. 1-12 (2024).
• Niranjan Balachandran and Eshita Mazumdar, The Weighted Davenport constant of a group and a related extremal problem -II, European J. Combinatorics, 103691 (2023).
• Shalom Eliahou and Eshita Mazumdar, Iterated sumset and Hilbert function, J. Algebra, Vol 593, 274-294 (2022).
• Eshita Mazumdar and Rameez Raja, Group Annihilator Graphs for a finite abelian group and its properties, Graphs and Combinatorics, 38 (1), 25 (2022).
• 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:

• Naveen Kumar Godara, Renu Joshi and Eshita Mazumdar, An algebraic approach towards a conjecture on the Davenport constant. 

Preprints:

• Eshita Mazumdar, Pragya Singh and Anubhav Tripathi, Erdős–Ginzburg–Ziv Related Problems for Higher Dimension.
• Mattia Brescia and Eshita Mazumdar, Zero-sum Invariants for non-abelian groups.
• Angsuman Das and Eshita Mazumdar, Group Annihilator Graphs.

At Ahmedabad University:

• Precalculus (MAT 123)
• Real Analysis (MAT 334)
• Multivariable Calculus (MAT 281)
• Foundation of Algebraic Graph Theory (MAT 325)
• Abstract Algebra (MAT 312)
• Introductory Calculus (MAT 142)
• Applied Linear Algebra (MAT 248)
• Mathematics for Business (MAT 000)
• Foundation Programme (FDP 102)
• Intermediate Calculus (MAT 146)
• Discrete Mathematics (MAT 101)

PhD Level (at AU)

• MAT711 Advanced Algebra I

At IIT Jammu:

• Calculus 
• Algebra 

Awarded SERB-Core Research Grant for the Project entitled as "Different Aspects of Combinatorial and Analytic Number Theory", 2023.

• Chairman's Award for Research Excellence from Ahmedabad University in 2024.

• Erasmus+ International Program (K 107) to visit University of Graz, Austria in 2018. (Not availed)

• NSFC (National Natural Science Foundation of China) grant for doing Post-doc at Nankai University, P R China.

   

I am looking for motivated PhD students and postdocs to work in problems related to Combinatorial Number Theory and/or Additive & Extremal Combinatorics. 

If you are interested in joining as a PhD student then please email me with a CV and consult the Ahmedabad University PhD admission guidelines.

If you are interested in joining as a postdoc then please email me with your CV. At present, I do not have any funds for hiring a postdoc but I am open to supporting suitable applicants for external funding like NBHM and NPDF.