- 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).
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Pravin Kumar, Tushar Kanta Naik, and Mahender Singh, Congruence subgroups and crystallographic quotients of small Coxeter groups, Accepted for publication in Forum Mathematicum, 24pp. 2023.
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Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Structure and automorphisms of pure virtual twin groups, 2023, Accepted for publication in Monatsh. Math.
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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.
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Pravin Kumar, Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Commutator subgroups and crystallographic quotients of virtual extensions of symmetric groups, 29pp., https://arxiv.org/pdf/2303.09804.pdf.
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Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Virtual twin groups and permutations, 30pp., arXiv:2109.13035.
- Topology (M405, MA803): Int. M.Sc. + Int. Ph.D., NISER, Fall 2023.
- Number Theory: SOPM, NISER, May-June 2023
- Metric Spaces (M204): Int. M.Sc., NISER, Spring 2023.
- Mathematical Analysis (MA702): Int. Ph.D., NISER, Fall 2022.
- Member, UGCS, SMS (School of Mathematical Sciences, NISER), (2022 - ).
- Convener, SMS (School of Mathematical Sciences, NISER) Website, (2022 - ).
Postdoctoral Fellows:
1. Rohit Garg (July 2023 -- )
One-Semester Projects (NISER Students):
1. Arijit Mahato (Int. Ph.D. 3rd Semester), Fall 2023.
2. Saheli Panja (Int. Ph.D. 3rd Semester), Fall 2023.
3. Prasaman Ghosh (Int. M.Sc. 7th Semester), Fall 2023.
Summer Internships:
1. Combinatorial aspects of Coxeter groups, Rameswar Patro, NISER, May-July 2023.
2. Groups of small order, Tulasi Behera, NIT Rourkela, May-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, https://sites.google.com/site/anupamk182/wgt22?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.
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NISER Bhubaneswar, India, 10th May - 12th May, 2022.
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HRI Prayagraj, India, 22nd July - 28th July, 2019 and 03rd February - 09th February, 2020.
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IISER Pune, India, 21st February - 03rd March, 2019 and 09th February - 16th February, 2020.