Sajal Kumar Mukherjee

Post Doctoral Fellow, IAI – TCG CREST


My area of interest is broadly combinatorics, in particular enumerative and algebraic combinatorics and combinatorial topology. I have obtained my Ph.D. in Mathematics from Visva-Bharati University in 2019. The title of my Ph.D. thesis is “On Some Problems in Algebraic Combinatorics”. Prior to that, I have done M.Sc (99%) and B.Sc (72.12%) in Mathematics from RKMVU, Belur Math and Calcutta University respectively.

Achievements:

  • University Gold Medal in M.Sc (2013)
  • AIR 6 in CSIR Net (2012)
  • Obtained NBHM-Ph.D Scholarship (2012)
  • Selected for NBHM- Postdoc fellowship (2019)

Publications:

  1. On the topology of rooted forests in higher dimensions, Topology and its Applications 247 (2018) 50–56
  2. A simple elementary proof of “The Unimodularity Theorem” of Oliver Knill, (with Sudip Bera), Linear Algebra and its Applications 547 (2018) 124–127
  3. Combinatorial proofs of some determinantal identities, (with Sudip Bera), Linear and Multilinear Algebra, 2017 (DOI:10.1080/03081087.2017.1366970)
  4. An elementary proof of a conjecture on Graph-Automorphism, (with A. K.Bhuniya) , Electronic Notes in Discrete Mathematics 63 (2017) 245-250
  5. On the rooted forests in triangulated closed manifolds . Linear and Multilinear Algebra, 2019 (DOI:10.1080/03081087.2019.1570066)
  6. A Combinatorial Proof of An Ordered-partition Expansion of Determinants Given by Insko, Johnson and Sullivan (with A. K. Bhuniya ), INTEGERS 19 (2019), A17
  7. Combinatorial proofs of the Newton–Girard and Chapman–Costas-Santos identities, (with Sudip Bera), Discrete Mathematics 342 (2019) 1577–1580
  8. Generalized Power Sum and Newton-Girard Identities, (with Sudip Bera), Graphs and Combinatorics, 2020 (DOI 10.1007/s00373-020-02223-3)
  9. On the Connectivity of Enhanced Power Graphs of Finite Groups, (with Sudip Bera and Hiranya Kishore Dey), Graphs and Combinatorics, 2020 (DOI 10.1007/s00373-020-02267-5)
  10. Counting on Matrices, (with Sanjay Mukherjee), ECA 1:3 (2021) Article S2R23.


Contact: shyamal.sajalmukherjee@gmail.com (e-mail)