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.

  Advising/Mentoring

Current Students

• Himanshu Chandrakar, PhD, IIT Bhilai
• Surender Kumar, PhD, IIT Bhilai (Co-supervisor: Dr. Anuj Jakhar, IIT Madras)
• Shiny Chakraborty, JRF (SERB project)

Past Students

• Deepak, MSc, IIT Bhilai, 2022-23.
• Ekta Makhija, MSc, IIT Bhilai, 2022-23.
• Niraj Velankar, MSc, SVNIT Surat (Co-supervisor: Dr. Amit Sharma, SVNIT Surat), 2022-23.

  Teaching

• Mathematics I, IIT Bhilai, 2023-24(M).
• MA508: Topology, IIT Bhilai, 2022-23(W).
• MA516: 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. Homomorphism complexes, reconfiguration, and homotopy for directed graphs (with A. Dochtermann), European Journal of Combinatorics, vol. 110, 103704, 2023.
2. The Borsuk-Ulam theorem for planar polygon spaces (with N. Daundkar, P. Deshpande, and S. Goyal), Topology and its applications, vol. 318, 108204, 2022.
3. Pattern avoidance of [4,k]-pairs in circular permutations (with K. Menon), Advances in Applied Mathematics, 2022.
4. Higher matching complexes of complete graphs and complete bipartite graphs, Discrete Mathematics, 2022.
5. Distance r-domination number and r-Independence complexes of graphs (with P. Deshpande and S. Shukla), European Journal of Combinatorics, 2022.
6. Vertex decomposability of complexes associated to forests, Transactions on Combinatorics, 2022.
7. Matching complexes of 3 × n grid graphs (with S. Goyal and S. Shukla), The Electronic Journal of Combinatorics, 2021.
8. Pattern avoidance and dominating compositions (with K. Menon), Enumerative Combinatorics and Applications, 2021.
9. A combinatorial statistics for labeled threshold graphs (with P. Deshpande and K. Menon), Enumerative Combinatorics and Applications, 2021.
10. Bounded degree complexes of forests, Discrete Mathematics, 2020.

See here for complete list of publications.

  Administrative Responsibilities

• August 1, 2023- -- : Warden, Kanhar hostel, IIT Bhilai.
• August 24, 2022- -- : Faculty-in-charge, Health Centre, IIT Bhilai.
• April 13, 2022- July 31, 2023 : Warden, Castle Dio (boys), IIT Bhilai.

  Grants and Awards

• NBHM Travel Grant (for visiting BIRS Canada), 2023.
• Start-up Research Grant (SRG), SERB, India, 2022-24.
• Vritika (Training and Skill Internship) Grant-SERB, 2022.
• Research Initiation Grant (RIG), IIT Bhilai, India, 2022-25.
• Long term visiting fellowship, The Fields Institute, Toronto, Canada, 2020.
• Visiting fellowship, Chennai Mathematical Institute, India, 2018-21.
• 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 (AIR 15), 2012.
• Qualified UGC-NET (AIR 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.