- Ph.D.: Harish-Chandra Research Institute, Prayagraj, India.
- M.Sc.: Chennai Mathematical Institute, Chennai, India.
- B.Sc.: Institute of Mathematics and Applications, Bhubaneswar, India.
- Finite group theory: Classification of finite p-groups, Influence of conjugacy class sizes on the structure of finite groups, Automorphisms of finite groups, Word maps defined on groups, Graphs associated with groups.
- Combinatorial group theory / Low dimensional topology: Coxeter groups and Artin groups, Braid groups, Planar braid groups, their virtual analogous and pure subgroups.
- (Nilpotent) Lie algebra: Classification of finite dimensional nilpotent Lie algebras, Camina Lie algebras, Breadth of a Lie algebra.
- NBHM Post Doctoral Fellowship, 2020.
- Institute Post Doctoral Fellowship at IISER Mohali, October 2018.
- HRI-INFOSYS AWARD for excellence in research in Group Theory, 2018.
- DAE Fellowship for PhD Program at the Harish-Chandra Research Institute, 2013.
- NBHM PhD Scholarship, 2013 (did not avail).
- Pravin Kumar, Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Commutator subgroups and crystallographic quotients of virtual extensions of symmetric groups, 29pp., Accepted for publication in "Journal of Pure and Applied Algebra".
- Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Virtual twin groups and permutations, J. Group Theory, 27 (3), 2024, 443-483.
- Pravin Kumar, Tushar Kanta Naik, and Mahender Singh, Congruence subgroups and crystallographic quotients of small Coxeter groups, Forum Mathematicum, 36(1), 2024, 193-213.
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Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Structure and automorphisms of pure virtual twin groups, 2023, Monatsh. Math., 202 (3), 2023, 555 – 582.
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Rijubrata Kundu, Tushar Kanta Naik, and Anupam Singh, Nilpotent Lie algebras with two centralizer dimensions over a finite field, Journal of Algebra, 633, 2023, 362-388.
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Rijubrata Kundu, Tushar Kanta Naik, and Anupam Singh, Nilpotent Lie algebras of breadth type (0, 3), Communications in Algebra, 51 (9), 2023, 3792 – 3809.
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Tushar Kanta Naik, and Mahender Singh, Automorphisms of odd Coxeter groups, Monatsh. Math., 195 (3), 2021, 501 – 521.
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Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Some remarks on twin groups, J. Knot Theory Ramifications, 29 (10), 2020, 2042006, 14 pp.
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Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Conjugacy classes and automorphisms of twin groups, Forum Math., 32 (5), 2020, 1095 – 1108.
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Tushar Kanta Naik, Rahul Dattatraya Kitture, and Manoj K. Yadav, Finite p-groups of nilpotency class 3 with two conjugacy class sizes, Israel J. Math., 236 (2), 2020, 899 – 930.
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Tushar Kanta Naik, On the probability distribution associated to commutator word map in finite groups, Communications in Algebra, 47 (9), 2019, 3808 – 3817.
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Tushar Kanta Naik, and Manoj K. Yadav, Finite p-groups of conjugate type {1, p3}, J. Group Theory, 21 (1), 2018, 65 – 82.
- Field Theory (M307, MA806): Int. M.Sc. + Int. Ph.D., NISER, Spring 2025.
- Algebra I (MA601): Ph.D., NISER, Fall 2024.
- Group Theory (M202): Int. M.Sc., NISER, Spring 2024.
- Topology (M405, MA803): Int. M.Sc. + Int. Ph.D., NISER, Fall 2023.
- Metric Spaces (M204): Int. M.Sc., NISER, Spring 2023.
- Mathematical Analysis (MA702): Int. Ph.D., NISER, Fall 2022.
Mini-courses at various workshops
- Three lectures (+2 tutorials) on `Combinatorial Group Theory', Workshop on Group Theory and Around, HRI, December 2023.
- Six lectures (+6 tutorials) on `Elementary Number Theory', SOPM, NISER, May-June 2023.
- Member, Screening Committee for shortlisting Ph.D applications, SMS, NISER, 2024.
- Member, Selection Committee for Int. M.Sc. - Ph.D. Programme 2023 - 2024, NISER.
- Member, UGCS, SMS (School of Mathematical Sciences, NISER), (2022 - ).
- Convener, SMS (School of Mathematical Sciences, NISER) Website, (2022 - ).
One-Semester Projects (NISER Students):
1. Arijit Mahato (Int. Ph.D.), Fall 2023, Spring 2024.
2. Saheli Panja (Int. Ph.D.), Fall 2023.
3. Prasaman Ghosh (Int. M.Sc.), Fall 2023.
Summer Internships:
1. Groups of small order, Tulasi Behera, NIT Rourkela, May-July 2023.
2. Combinatorial aspects of Coxeter groups, Rameswar Patro, NISER, May-July 2023.
Postdoctoral Fellows:
1. Rohit Garg (July 2023 -- )
- The Isomorphism Problem in Coxeter Groups, Mathematics Day 2023, NISER Bhubaneswar, India, 9th September, 2023.
- Breadth type of (nilpotent) Lie algebras”, (online) Workshop on Group Theory 2022, 04th February 2022, authuser=0.
- “Automorphisms of three canonical extensions of symmetric groups,”, World of GroupCraft 2021 (World of geometric group theory - online international conference), 26th August, 2021.
- “Automorphisms of (odd) Coxeter groups (A study motivated by Artin braid groups and twin groups)”, Group Theory Sangam (online conference), 03rd June 2021.
- “Finite groups with exactly two conjugacy class sizes and the analogous study in Lie algebra”, weekly online seminar @ Gonit Sora, 19th March 2021.
- “Finite groups with two conjugacy class sizes”, Workshop on Group Theory 2020, IISER Pune, India, 13th February 2020.
- “Twin and Pure twin groups”, Harish-Chandra Research Institute, Prayagraj (Allahabad), India, 06th February 2020.
- “Twin groups”, Young Mathematicians Symposium, IISER Mohali, India, 07th December 2019.
- “On p-groups of conjugate type (1, p3)”, 83rd Annual Conference of Indian Mathematical Society, SV University, Tirupati, India, 13th December 2017.
- “On p-groups of conjugate rank 1 and nilpotency class 3”, Groups St Andrews 2017, Birmingham, UK, 12th August 2017.
Events (co)-organised:
1. Inter IISER-NISER Mathematics Meet, NISER Bhubaneswar, 29th September - 01st October, 2023 (co-organized with A.P. Choudhury, B.K. Sahoo, B.Sahu, C. Chaudhuri, D.K. Keshari, S.K. Pujahari).
2. Conference on Group Theory and Related Topics, NISER Bhubaneswar, 27th February - 04th March, 2023 (co-organized with B.K. Sahoo, K.L. Patra, and S. Hatui).
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HRI Prayagraj, India, 22nd - 28th, July 2019; 03rd - 09th, February 2020; and 13th - 21th, December 2023.
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NISER Bhubaneswar, India, 10th May - 12th May, 2022.
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IISER Pune, India, 21st February - 03rd March 2019; and 09th - 16th, February 2020.
- Start-up Research Grant (SRG) Low-dimensional topology and Coxeter groups. Funding Agency: Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Govt. of India. Amount: INR 13,64,601. Duration: February 2024 -- February 2026.