Research Interest

• Topological Combinatorics
• Enumerative Combinatorics
• Combinatorial Geometry

  Academic Background

• Ph.D., Indian Institute of Technology Kanpur, India
• M.Sc., Indian Institute of Technology Guwahati, India
• B.Sc., University of Lucknow, India

  Professional Experience

• October 2021- --: Assistant Professor, Indian Institute of Technology (IIT) Bhilai, Chhattisgarh, India.
• July 2018-September 2021: Postdoc fellow, Chennai Mathematical Institute, India.

  Teaching

• Enumerative Combinatorics, IIT Bhilai, 2022-23(M).
• IC153: Calculus 1, IIT Bhilai, 2021-22(W).
• Enumerative Combinatorics, Chennai Mathematical Institute, 2020-21(W) & 2019-20(W).
• Introduction to Topological Combinatorics, Chennai Mathematical Institute, 2018-19(W).

  Selected Publications

Journal Papers

1. Pattern avoidance of [4,k]-pairs in circular permutations (with K. Menon), Advances in Applied Mathematics, 2022.
2. Higher matching complexes of complete graphs and complete bipartite graphs, Discrete Mathematics, 2022.
3. Distance r-domination number and r-Independence complexes of graphs (with P. Deshpande and S. Shukla), European Journal of Combinatorics, 2022.
4. Vertex decomposability of complexes associated to forests, Transactions on Combinatorics, 2022.
5. Matching complexes of 3 × n grid graphs (with S. Goyal and S. Shukla), The Electronic Journal of Combinatorics, 2021.
6. Pattern avoidance and dominating compositions (with K. Menon), Enumerative Combinatorics and Applications, 2021.
7. A combinatorial statistics for labeled threshold graphs (with P. Deshpande and K. Menon), Enumerative Combinatorics and Applications, 2021.
8. Counting regions of the boxed threshold arrangements (with P. Deshpande and K. Menon), Journal of Integer Sequences, 2021.
9. Higher Independence complexes of graphs and their homotopy types (with P. Deshpande), Journal of the Ramanujan Mathematical Society, vol. 36, no. 1, 53–71, 2021.
10. Bounded degree complexes of forests, Discrete Mathematics, 2020.

See here for complete list of publications.

  Administrative Responsibilities

• April 2022- -- : Warden, Castle Dio (boys), IIT Bhilai.

  Awards and scholarships

• Long term visiting fellowship, The Fields Institute, Toronto, Canada, 2020.
• Visiting fellowship, Chennai Mathematical Institute, India, 2018.
• Globlink-Mitacs (short term visiting fellowship), Canada, 2013 (not availed).
• Institute Silver Medal for securing 1st rank in M.Sc.-Mathematics and Computing, IIT Guwahati, India, 2012.
• Selected for NBHM-PhD fellowship, 2012.
• Qualified GATE, National Level Test in Mathematics with All India Rank of 15, 2012.
• Qualified UGC-NET, National Level Test in Mathematics with All India Rank of 30, 2012.
• Short term visiting fellowship, Harish-Chandra Research Institute, Allahabad, India, 2012.
• INSPIRE scholarship for higher education (SHE), Department of Science and Technology, India, 2008-2012.