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Subha Sarkar

About


I am an Assistant Professor in the Department of Mathematics, Indian Institute of Engineering Science & Technology, Shibpur. I obtained my M.Sc in Mathematics & Computing from IIT Guwahati (2013-2015). I did my Ph.D. in Number Theory from Harish-Chandra Research Institute, Prayagraj, under the supervision of Prof. R. Thangadurai from 2015 to 2020. I was a Post Doctoral Fellow at Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math, from 2020 to 2021. My research interest lies in the area of Additive Number Theory, namely in weighted zero-sum problems and in Ramsey Theory.

Work Experience:

1. Assistant Professor, Department of Mathematics, Indian Institute of Engineering Science & Technology, Shibpur, from August 2025

2. Assistant Professor, Department of Mathematics, National Institute of Technology, Jamshedpur, from December 2022 to August 2025.

3. Assistant Professor, Department of Mathematics, Birla Institute of Technology Mesra, from August 2021 to December 2022.

4. Post Doctoral Fellow at Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math, from August 2020 to August 2021.

Academic Qualifications


  • PhD in Mathematics, Harish-Chandra Research Institute, Prayagraj (2015-2020) 

                Thesis Title: On Some Problems in Additive Combinatorics and Related Areas

  • M.Sc. in Mathematics and Computing, Indian Institute of Technology Guwahati (2013-2015)
  • B.Sc (Hons.) in Mathematics, Malda College, University of Gour Banga (2010-2013) 

 

Research Statement


  • My primary research interest lies in Additive Number Theory, namely Weighted Zero-Sum Problems and Ramsey Theory. One important theme of my research in this area is the study of the degree of regularity of Diophantine equations. I prove the degree of regularity of a specific type of Diophantine equation to be infinite. Another theme of my research is to determine the exact value of some weighted zero-sum constants attached to a finite abelian group. One of my results in this area gives a new upper bound for these zero-sum constants. Another important problem in the Weighted Zero-sum area is finding the structure of the extremal length sequences that do not have any zero-sum subsequences of some prescribed length. These types of problems are known as Inverse Zero-sum problems. In this direction, we have found the exact structure of the extremal length sequence for the cyclic groups and some particular types of weight sets.
  • I am also interested in studying Graph Theory, particularly those graphs arising from algebraic structures, namely Unitary Cayley Graphs and Power Graphs.

Latest Publications


  • 1 Subha Sarkar, A generalization of Toth identity in the ring of Algebraic Integers involving a Dirichlet Character, Period. Math. Hung., 2025
  • 2 Esrafil Ali Molla and Subha Sarkar, A generalization of Toth identity involving a Dirichlet Character in F_q[T], 104(1-2), 67-88, Publ. Math. Debrecen, 2024
  • 3 Subha Sarkar, Generalization of some weighted zero-sum theorems and related Extremal sequence, 39(4), 369-376, J. Ramanujan Math. Soc., 2024
  • 4 Jaitra Chattopadhyay and Subha Sarkar, On a generalization of Menon-Sury identity to number fields involving a Dirichlet character, 59, 979-992, Ramanujan J., 2022
  • 5 Sukumar Das Adhikari, Shruti Hegde, Md Ibrahim Molla and Subha Sarkar, Inverse Problems Related to Some Weighted Zero-Sum Constants for Cyclic Groups, 22, A7, Integers, 2022
  • 6 Subha Sarkar, Generalization of some weighted zero-sum theorems, 131, Art. 32, Proc. Indian Acad. Sci. Math. Sci., 2021
  • 7 Sukumar Das Adhikari, Bidisha Roy and Subha Sarkar, Weighted zero-sums for some finite abelian groups of higher ranks, Springer Proc. Math. Stat., 297 (2020), 1-12, Combinatorial and Additive Number Theory III. CANT 2018., 2020
  • 8 Sukumar Das Adhikari, Bidisha Roy and Subha Sarkar, On a polynomial method of Ronyai in the study of zero-sum theorems, Springer Proc. Math. Stat., 340 (2020), Modular Forms and Related Topics in Number Theory. ICNT 2018., 2020
  • 9 Bidisha Roy and Subha Sarkar, On determination of zero-sum l-generalized Schur numbers for some linear equations, 11(1), 1-12, J. Comb. Number Theory, 2020
  • 10 Jaitra Chattopadhyay, Bidisha Roy and Subha Sarkar, On fractionally dense sets, 49(3), 743-760, Rockey Mountain J. Math., 2019
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    Research Areas


    • Additive Number Theory
    • Zero-Sum Problems
    • Ramsey Theory
    • Graph Theory

    Publications


  • 1 Subha Sarkar, A generalization of Toth identity in the ring of Algebraic Integers involving a Dirichlet Character, Period. Math. Hung., 2025
  • 2 Esrafil Ali Molla and Subha Sarkar, A generalization of Toth identity involving a Dirichlet Character in F_q[T], 104(1-2), 67-88, Publ. Math. Debrecen, 2024
  • 3 Subha Sarkar, Generalization of some weighted zero-sum theorems and related Extremal sequence, 39(4), 369-376, J. Ramanujan Math. Soc., 2024
  • 4 Jaitra Chattopadhyay and Subha Sarkar, On a generalization of Menon-Sury identity to number fields involving a Dirichlet character, 59, 979-992, Ramanujan J., 2022
  • 5 Sukumar Das Adhikari, Shruti Hegde, Md Ibrahim Molla and Subha Sarkar, Inverse Problems Related to Some Weighted Zero-Sum Constants for Cyclic Groups, 22, A7, Integers, 2022
  • 6 Subha Sarkar, Generalization of some weighted zero-sum theorems, 131, Art. 32, Proc. Indian Acad. Sci. Math. Sci., 2021
  • 7 Bidisha Roy and Subha Sarkar, On determination of zero-sum l-generalized Schur numbers for some linear equations, 11(1), 1-12, J. Comb. Number Theory, 2020
  • 8 Jaitra Chattopadhyay, Bidisha Roy and Subha Sarkar, On fractionally dense sets, 49(3), 743-760, Rockey Mountain J. Math., 2019
  • 9 Jaitra Chattopadhyay, Bidisha Roy, Subha Sarkar and R. Thangadurai, Quadratic nonresidues and nonprimitive roots satisfying a coprimality condition, 99(2), 177-183, Bull. Aust. Math. Soc., 2019
  • 10 Bidisha Roy and Subha Sarkar, Regularity of certain diophantine equations, 129(2), Art.19, 8 pp, Proc. Indian Acad. Sci. Math. Sci., 2019
  • 11 Aaron Robertson, Bidisha Roy and Subha Sarkar, The determination of 2-color zero-sum generalized Schur numbers, 18, A96, 7pp, Integers, 2018
  • 1 Sukumar Das Adhikari, Bidisha Roy and Subha Sarkar, Weighted zero-sums for some finite abelian groups of higher ranks, Springer Proc. Math. Stat., 297 (2020), 1-12, Combinatorial and Additive Number Theory III. CANT 2018., 2020
  • 2 Sukumar Das Adhikari, Bidisha Roy and Subha Sarkar, On a polynomial method of Ronyai in the study of zero-sum theorems, Springer Proc. Math. Stat., 340 (2020), Modular Forms and Related Topics in Number Theory. ICNT 2018., 2020
  • 3 Jaitra Chattopadhyay, Bidisha Roy, Subha Sarkar and R. Thangadu- rai, Distribution of residues modulo p using the Dirichlet's class number formula, ICCGNFRT-2017 Conference proceedings, 2017
  • Patents


    # Patents Year

    Awards


    • HRI-Infosys Prize, Year: 2019
    • Qualified GATE in Mathematics with AIR-46, Year: 2015
    • Qualified Joint CSIR-UGC NET for Mathematical Sciences, Year: 2014
    • NBHM M.Sc. Scholarship, Year: 2014

    Citations


    Scopus
    DOCUMENTS CITATION H-INDEX
    10 12 2

    Created: 23 November 2019