Research 

My current research explores some (co)homological and homotopical aspects of certain non-associative algebraic invariants appearing in high-dimensional knot theory.  I am also quite interested in learning about other topics, especially homotopy theory, low-dimensional manifold theory, characteristic classes, the Yang-Baxter equation, and the fascinating interplay of these with my current work. 

Preprints:

• Automorphisms, cohomology and extensions of symmetric quandles (2024), with Deepanshi Saraf and Mahender Singh (available on arXiv).

• Generalized (co)homology of symmetric quandles over homogeneous Beck modules (2024), with Deepanshi Saraf and Mahender Singh (available on arXiv).

• Generalised Legendrian racks of Legendrian links (2024), with Deepanshi Saraf and Mahender Singh (available on arXiv).