My research is broadly in the domain of algebraic topology, geometric topology, and their applications. In particular, I am interested in sequential topological complexity and Lusternik–Schnirelmann category (LS-category). Most of my work has been on some new, probabilistic versions of sequential topological complexity and LS-category, especially their respective “distributional versions”.

In October 2024, I was invited to talk about some of my work on these new invariants at the Topological Complexity Seminar hosted by the Applied Algebraic Topology Research Network. Click here for the YouTube recording of my talk.

Recently, I have also been interested in symplectic geometry and topology. In particular, I have been studying symplectically aspherical manifolds and Kahler manifolds.

I enjoy discussing mathematics and learning new topics. Please email me at ekanshjauhari@ufl.edu for discussions about research problems in topology and related fields.

My advisor is Dr. Alexander Dranishnikov.