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Faculty

Sudip Bera

Sudip Bera
PhD (Mathematics), Visva-Bharati University, Shantiniketan, West Bengal
079-68261632 # 4201, FB-4, DA-IICT, Gandhinagar, Gujarat, India – 382007 sudip_bera[at]daiict[dot]ac[dot]in https://scholar.google.com/citations?user=S9nseqsAAAAJ&hl=en, https://www.researchgate.net/profile/sudip-bera-3

I am an Assistant Professor from 02nd January, 2023-Present in the Department of Mathematics, DA-IICT, Gandhinagar, Gujrat India.

Earlier, I was a Postdoctoral fellow in Mathematics at Harish-Chandra Research Institute from 16th September, 2022 to 31st December, 2022.

Before that, I was a Visiting fellow in Mathematics at TIFR Mumbai from 2nd August, 2022 to 15th September, 2022. My mentor was Prof. Amitava Bhattacharya.

Before that, I was a Postdoctoral fellow in Mathematics at IISc, Bangalore from 1st July, 2019 to 30th June, 2022. My mentor was Prof. Arvind Ayyer.

I finished my Ph.D in Visva-Bharati University. I defended my Ph.D. thesis in June, 2019.

Algebraic and Enumerative Combinatorics, Graphs arising from Groups, Structural Graph Theory and Combinatorial Matrix Theory.

  • (WITH A. K. BHUNIYA) ON SOME CHARACTERIZATIONS OF STRONG POWER GRAPHS OF FINITE GROUPS, SPEC. MATRICES , 4(2016), 121–129, (DOI: 10.1515/SPMA-2016-0012).
  • (WITH A. K. BHUNIYA) NORMAL SUBGROUP BASED POWER GRAPHS OF A FINITE GROUP, COMMUNICATIONS IN ALGEBRA, 45:8(2016), 3251–3259, (HTTP://DX.DOI.ORG/10.1080/00927872.2016.1236122).
  • (WITH A. K. BHUNIYA) ON ENHANCED POWER GRAPHS OF FINITE GROUPS, JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 17:8 (2018), 8 PAGES,( DOI: 10.1142/S0219498818501463).
  • ON THE INTERSECTION POWER GRAPH OF A FINITE GROUP, ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS , 6 (1) (2018), 178–189, (DOI: 10.5614/EJGTA.2018.6.1.13).
  • (WITH S. K. MUKHERJEE) COMBINATORIAL PROOFS OF SOME DETERMINANTAL IDENTITIES, LINEAR AND MULTILINEAR ALGEBRA, 66 (2018), 1659–1667, (DOI: 10.1080/03081087.2017.1366970).
  • (WITH S. K. MUKHERJEE) A SIMPLE ELEMENTARY PROOF OF “THE UNIMODULARITY THEOREM” OF OLIVER KNILL, LINEAR ALGEBRA AND ITS APPLICATIONS, 547 (2018) 124–127,(HTTPS://DOI.ORG/10.1016/J.LAA.2018.02.016).
  • (WITH S. K. MUKHERJEE) COMBINATORIAL PROOFS OF THE NEWTON–GIRARD AND CHAPMAN–COSTAS-SANTOS IDENTITIES, DISCRETE MATHEMATICS, 342 (2019) 1577–1580, (HTTPS://DOI.ORG/10.1016/J.DISC.2019.02.013).
  • (WITH S. K. MUKHERJEE), GENERALIZED POWER SUM AND NEWTON-GIRARD IDENTITIES, GRAPHS AND COMBINATORICS, 36 (2020) 1957–1964, (HTTPS://DOI.ORG/10.1007/S00373-020-02223-3).
  • COMBINATORIALIZATION OF SURY AND MCLAUGHLIN IDENTITIES AND GENERAL LINEAR RECURRENCES BY A UNIFIED APPROACH, ENUMERATIVE COMBINATORICS AND APPLICATIONS, ECA 1:1 (2021), S2R5, (HTTPS://DOI.ORG/10.54550/ECA2021V1S1R5).
  • (WITH H. K. DEY AND S.K. MUKHERJEE) ON THE CONNECTIVITY OF ENHANCED POWER GRAPH OF FINITE GROUP, GRAPHS AND COMBINATORICS,, 37 (2021) 591–603, (HTTPS://DOI.ORG/10.1007/S00373-020- 02267-5).
  • ENUMERATION OF WEIGHTED PATHS ON A DIGRAPH AND BLOCK HOOK DETERMINANT, SPECIAL MATRICES, 9 (2021) 197–211, (HTTPS://DOI.ORG/10.1515/SPMA-2020-0130).
  • LINE GRAPH CHARACTERIZATION OF POWER GRAPHS OF FINITE NILPOTENT GROUPS, COMMUNICATIONS IN ALGEBRA, 50 (2022) 4652-4668, (HTTPS://DOI.ORG/10.1080/00927872.2022.2069793).
  • (WITH H. K. DEY) ON THE PROPER ENHANCED POWER GRAPHS OF FINITE NILPOTENT GROUPS, JOURNAL OF GROUP THEORY 25 (2022) 1109-1131 (DOI: 10.1515/JGTH-2022-0057).

PREPRINTS:

  • A CONJECTURE OF AKBARI, CAMERON, AND KHOSROVSHAHI ON THE EXISTENCE OF A (0, 1)-VECTOR IN THE ROW SPACE OF EVERY ADJACENCY MATRIX, ARXIV:2204.02689 (2022).
  • A MATRIX FOR COUNTING PATHS IN ACYCLIC COLORED DIGRAPHS, ARXIV:2204.03367 (2022).

TEACHING EXPERIENCE AT VISVA-BHARATI:

  • ODD SEM 2014: GROUP THEORY AND MATRIX THEORY, UG LEVEL.
  • ODD SEM 2015: GROUP THEORY AND MATRIX THEORY, UG LEVEL.
  • EVEN SEM 2015: COORDINATE GEOMETRY, UG LEVEL.
  • ODD SEM 2016: GROUP THEORY AND MATRIX THEORY, UG LEVEL.

TEACHING EXPERIENCE AT IISC, BANGALORE:

  • ODD SEM 2020: TA OF THE COURSE: AN INTRODUCTION TO THE ALGEBRAIC STRUCTURE, UG LEVEL.

TEACHING EXPERIENCE AT NPTEL:

  • ODD SEM 2022: TA OF THE COURSE: ALGEBRAIC COMBINATORICS.
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