**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:**

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

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