Dr. Anupam Mondal

Assistant Professor, IAI TCG CREST

Research Interest

  • Graph Theory: matchings and flows, graph colouring etc.

  • Combinatorial Topology: abstract simplicial complexes, simplicial homology, discrete Morse theory etc.

  • Combinatorial and Discrete Geometry.

  • Enumerative and Topological Combinatorics.

 

Academic Qualification

 

Teaching Experience

Graduate courses offered at TCG CREST in recent years:

  • 2025, spring semester

    • Advanced Combinatorics and Graph Theory (jointly)

  • 2024, autumn semester

    • Combinatorics and Graph Theory (jointly)

  • 2024, spring semester

    • Combinatorics (jointly)
    • Graph Theory (jointly)
    • Combinatorial Optimization (jointly, reading course)

  • 2023, spring semester

    • Combinatorics and Graph Theory – II (jointly)
    • Combinatorial Optimization (jointly, reading course)
Publications and Pre-prints 


See also: [Google Scholar profile] [Articles on arXiv]

  1. A note on an application of discrete Morse theoretic techniques on the complex of disconnected graphs (with P. C. Pramanik). Examples and Counterexamples, 7:100174 (2025). DOI: 10.1016/j.exco.2025.100174 (eprint: arXiv:2305.08086)

  2. Topology of matching complexes of complete graphs via discrete Morse theory (with S. Mukherjee and K. Saha). Discrete Mathematics & Theoretical Computer Science, 26:3 #13 (2024). DOI: 10.46298/dmtcs.12887 (eprint: arXiv:2305.02973)

  3. On Elser’s conjecture and the topology of U-nucleus complex (with A. Chakraborty, S. Mukherjee and K. Saha). Journal of Combinatorial Theory, Series A, 197:105748 (2023). DOI: 10.1016/j.jcta.2023.105748 (eprint: arXiv:2203.12525)

  4. Covering the plane by a sequence of circular disks with a constraint (with A. Bhattacharya). Computational Geometry, 91:101680 (2020).
    DOI:
     10.1016/j.comgeo.2020.101680 (eprint: arXiv:1810.01255)

  5. Problems on matchings and independent sets of a graph (with A. Bhattacharya and T. S. Murthy). Discrete Mathematics, 341(6):1561–1572 (2018).
    DOI:
     10.1016/j.disc.2018.02.021 (eprint: arXiv:1701.03040)

  6. Cancellation of a critical pair in discrete Morse theory and its effect on (co)boundary operators (with S. Mukherjee and P. C. Pramanik). eprint: arXiv:2502.06520

Contact: Anupam.Mondal@tcgcrest.org

Homepage: https://anupam-m-discmath.github.io/