Published/Accepted  

• R. K. Gupta, S. Sarkar, S. S. Sawant, and S. Shukla, On the matching complexes of the categorical product of path graphs, 2024, 36 pages, arXiv:2403.15298v1. (accepted for publication in J. Appl. Comput. Topol.)

• B. Basak and R. K. Gupta, Average edge order of normal 3-pseudomanifolds, Contributions to Discrete Mathematics, 21(1), 10 pages,  2026. https://doi.org/10.55016/wv4n5q22

• B. Basak, R. K. Gupta, and S. Sarkar, Characterization of g2-minimal normal 3-pseudomanifolds with at most four singularities, 2024, 12 pages Topol. Methods Nonlinear Anal..  https://doi.org/10.12775/TMNA.2024.0122

• B. Basak and R. K. Gupta, Topological and combinatorial characterization of normal 3-pseudomanifolds with g2\leq 5, 2024, 19 pages Discrete Math. , 347(9) 2024, Paper No. 114073, 12 pp. https://doi.org/10.1016/j.disc.2024.114073

• B. Basak, R. K. Gupta, and S. Sarkar, A characterization of normal 3-pseudomanifolds with at most two singularities, Discrete Math., 346(12) (2023), Paper No. 113588, 15 pp.  https://doi.org/10.1016/j.disc.2023.113588 

   Preprints Submitted

• R. K. Gupta, and  S. Sarkar, On the Equivariant Triangulations of Some Small Covers, 2026, 29 Pages, arXiv:2602.12857

• R. K. Gupta, S. Sarkar, and S. Shukla, On the Vietoris-Rips Complexes of Integer Lattices, 2025, 32 pages, arXiv: 2511.04238  

• B. Basak, R. K. Gupta, and A. Trivedi, Simplicial degree d self-maps on n-spheres, 2024, arXiv: 2409.00907.  

• B. Basak and R. K. Gupta, A characterization of normal 3-pseudomanifolds with g2\leq 4, 2022, 13 pages, arXiv:2202.06638.

  Collaborators

1.     Biplab Basak (IIT Delhi)

2.     Soumen Sarkar (IIT Madras)

3.     Sourav Sarkar (IIT Delhi)

4.     Sagar Sawant  (IIT Madras)

5.     Samir Shukla  (IIT Mandi) 

6.    Ayushi Trivedi (IIT Delhi)