Manpreet Singh

About

My research interests lie in low-dimensional topology and combinatorial group theory. In particular, I study algebraic structures arising in low-dimensional topology, including braid groups and their geometric generalizations, as well as knots and their various ramifications. I am also interested in set-theoretic solutions of the Yang–Baxter equation, especially quandles and skew left braces.

Employment

• Indian Institute of Technology Dhanbad Assistant Professor
  2026 - Present
• University of South Florida Fulbright-Nehru Postdoctoral Fellow
  2023 - 2025
• Instituto Superior Técnico Postdoc
  2022 - 2023
• Harish-Chandra Research Institute Postdoc
  2021 - 2022

Education

Education history is unavailable.

Projects & Funding

Projects & funding information is unavailable.

Publications (8)

• Quasitoric Representation of Generalized Knots
  Mediterranean Journal of Mathematics 2026 DOI: 10.1007/s00009-026-03057-8
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• Residual finiteness and profinite properties of automorphism groups of quandles
  Topology and its Applications 2025 DOI: 10.1016/j.topol.2025.109538
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• Twisted Yang–Baxter sets, cohomology theory, and application to knots
  International Journal of Mathematics 2025 DOI: 10.1142/S0129167X25500430
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• Bridging colorings of virtual links from virtual biquandles to biquandles
  Canadian Mathematical Bulletin 2025 DOI: 10.4153/S0008439525000281
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• Virtually symmetric representations and marked Gauss diagrams
  Topology and its Applications 2022 DOI: 10.1016/j.topol.2021.107936
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• Orderability of link quandles
  Proceedings of the Edinburgh Mathematical Society 2021 DOI: 10.1017/s0013091521000419
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• Link quandles are residually finite
  Monatshefte für Mathematik 2020 DOI: 10.1007/s00605-019-01336-z
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• Free quandles and knot quandles are residually finite
  Proceedings of the American Mathematical Society 2019 DOI: 10.1090/proc/14488
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