IAI

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

• Ph.D. in Mathematics from Tata Institute of Fundamental Research (TIFR), Mumbai, India (2019)
  
  
• M.Sc. in Mathematics from Indian Institute of Technology Madras (IITM), Chennai, India (2013)
  
  
• B.Sc. with Honours (First Class in Mathematics) from Ramakrishna Mission Residential College, Narendrapur, Kolkata, under University of Calcutta,  India (2011) 

Teaching Experience

• 2023, spring semester

  • Combinatorics and Graph Theory – II (jointly)
  • Combinatorial Optimisation (jointly, reading course)
    
    

• 2022, autumn semester

  • Combinatorics and Graph Theory (jointly)
    
    

• 2022, spring semester

  • Graph Theory and Matroids – II (jointly, reading course)
  • Trends in Combinatorics and Topology (jointly)
    
    

• 2021, autumn semester

  • Graph Theory and Matroids – I (jointly)
    
    

Publications and Pre-prints 

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

1. 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)
   
   
2. 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)
   
   
3. 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)
   
   
4. A note on an application of discrete Morse theoretic techniques on the complex of disconnected graphs (with P. C. Pramanik). eprint: arXiv:2305.08086
   
   
5. Discrete Morse theoretic computations in the matching complex of K₇ (with S. Mukherjee and K. Saha). eprint: arXiv:2305.02973
   
   
6. Discrete Morse theory and the topology of matching complexes of complete graphs (with S. Mukherjee and K. Saha). eprint: arXiv:2303.07054