Research Area
Topology and Algebra
Research Interests
Group actions on manifolds, equivariant maps, free rank, topological complexity.
Combinatorial and finite group theory, generalised braid groups, Artin and Coxeter groups.
Knot theory, mapping class groups, solutions to the quantum Yang-Baxter equation.
Since 2018 : Associate Professor, IISER Mohali
2013 – 2018 : Assistant Professor, IISER Mohali
2012 – 2013 : INSPIRE Faculty, IISER Mohali
2009 – 2012 : Post Doctoral Fellow, IMSc Chennai
2004 - 2009 : PhD, Harish-Chandra Research Institute
2002 - 2004 : MSc, University of Delhi
1999 - 2002 : BSc Honours, University of Delhi
Fulbright-Nehru Academic and Professional Excellence Fellowship, 2021.
SwarnaJayanti Fellowship Award, Department of Science and Technology, 2020.
INSPIRE Faculty Award, Department of Science and Technology, 2012.
NBHM Post Doctoral Fellowship, 2010 (not availed).
CSIR Research Fellowship, 2004 (not availed).
GATE Research Fellowship, 2004 (not availed).
University Gold Medal (All Subjects), University of Delhi, 2004.
NBHM Masters Scholarship, 2002–2004.
Pravin Kumar, Tushar Kanta Naik and Mahender Singh. Congruence subgroups and crystallographic quotients of small Coxeter groups. Forum Math. 36(1):193–213, 2024. URL, DOI
Mohamed Elhamdadi, Brandon Nunez, Mahender Singh and Dipali Swain. Idempotents, free products and quandle coverings. Internat. J. Math. 34(3):Paper No. 2350011, 27, 2023. URL, DOI
Mohamed Elhamdadi, Brandon Nunez and Mahender Singh. Enhancements of link colorings via idempotents of quandle rings. J. Pure Appl. Algebra 227(10):Paper No. 107400, 16, 2023. URL, DOI
Neeraj K Dhanwani, Hitesh Raundal and Mahender Singh. Presentations of Dehn quandles. J. Algebra 636:207–247, 2023. URL, DOI
Valeriy Bardakov, Timur Nasybullov and Mahender Singh. General constructions of biquandles and their symmetries. J. Pure Appl. Algebra 226(7):Paper No. 106936, 40, 2022. URL, DOI
Valeriy Bardakov and Mahender Singh. Quandle cohomology, extensions and automorphisms. J. Algebra 585:558–591, 2021. URL, DOI
Hitesh Raundal, Mahender Singh and Manpreet Singh. Orderability of link quandles. Proc. Edinb. Math. Soc. (2) 64(3):620–649, 2021. URL, DOI
Tushar Kanta Naik, Neha Nanda and Mahender Singh. Conjugacy classes and automorphisms of twin groups. Forum Math. 32(5):1095–1108, 2020. URL, DOI
Valeriy G Bardakov, Mahender Singh and Manpreet Singh. Free quandles and knot quandles are residually finite. Proc. Amer. Math. Soc. 147(8):3621–3633, 2019. URL, DOI
Inder Bir Singh Passi, Mahender Singh and Manoj Kumar Yadav. Automorphisms of finite groups. Springer Monographs in Mathematics series, Springer, Singapore, 2018. URL, DOI