Dr. Manpreet Singh is a postdoctoral F ellow at Harish-Chandra Research Institute (HRI), Prayagraj (Allahabad). His research interest is in low dimensional topology. Before joining HRI, he was an Integrated PhD student in the Department of Mathematical Sciences at the Indian Institute of Science Education and Research (IISER) Mohali. He received his master’s degree and PhD under the supervision of Dr. Mahender Singh, in 2021. During his PhD, he worked on algebraic and combinatorial aspects in knot theory. He has published several research articles in reputed international journals.
During the Fulbright-Nehru Postdoctoral Research Fellowship, he will work on exploring connections among algebraic and geometric invariants of knots. He aims at understanding certain colorings of alternating diagrams of prime links using the elements of the first homology groups of cyclic branched coverings of links. In the last two decades, many algebraic structures have been introduced as invariants of (ramified) knots. Dr. Singh is planning to delve into the intricacies of such invariants from a geometric facet.