I am interested in different objects like knots/links, 3-manifolds, 4-manifolds and graphs. Moreover, I like to study these objects using invariants such as Khovanov homology, Heegard Floer homology and Chromatic homology. Currenly, I am interested in their spanning tree models and exploring questions which can be answered using these models.

Preprints

  1. A spanning tree model for chromatic homology

    with Aninda Banerjee, Apratim Chakraborty and Pravakar Paul

    2025 (submitted) -- arXiv

  2. A spanning tree model for Khovanov homology, Rasmussen's s-invariant and exotic discs in the 4-ball

    with Aninda Banerjee and Apratim Chakraborty

    2025 -- arXiv