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I recently completed my PhD in Mathematics at Louisiana State University, where I was jointly advised by Professors Scott Baldridge and Shea Vela-Vick. My dissertation studied stable homotopy refinements in low-dimensional topology, with a focus on Khovanov homology and planar trivalent graphs with perfect matchings.
Before that, I earned a BS–MS dual degree from the Indian Institute of Science Education and Research (IISER) Mohali. My master’s thesis at IISER Mohali, supervised by Professor Mahender Singh, was on Khovanov homology.
My research interests lie in low-dimensional topology, contact geometry, and quantum topology. Currently, I am particularly focused on the development and study of stable homotopy refinements of link invariants, including the Khovanov stable homotopy type and the knot Floer stable homotopy type.