About
Sujoy Mukherjee is a Visiting Assistant Professor in the Department of Mathematics at the University of Denver, affiliated with the College of Natural Sciences and Mathematics. His research focuses on algebraic structures related to knot theory and low-dimensional topology, including topics such as Khovanov homology, quandle homology, and skein modules. He explores connections between algebraic topology and geometric structures, with particular emphasis on knot invariants and their applications in robotics and graph theory.
His work spans theoretical advancements in knot theory, such as proofs of the Generalized Kauffman-Harary Conjecture and studies of hyperbolic knots, alongside computational approaches like robot-based knot unknotting. Recent publications (2021–2025) highlight investigations into torsion phenomena in Khovanov homology, algebraic concordance of knots, and geometric properties of thickened surfaces. He maintains an active research agenda with a focus on interdisciplinary applications of topological principles.
No scientific awards or grants are explicitly listed in the provided materials. While no formal advising roles are noted, his research interests suggest involvement in mentoring graduate students in topology and algebra. His personal website (https://sujoymukherjee.com) provides additional details on ongoing projects and collaborations.
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