NISER

• Ph.D.: Harish-Chandra Research Institute, Prayagraj, India.
• M.Sc.: Chennai Mathematical Institute, Chennai, India.
• B.Sc.: Institute of Mathematics and Applications, Bhubaneswar, India.

Algebra (Group Theory and Related Topics)

• 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).

1. Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Virtual twin groups and permutations, J. Group Theory, 27 (3), 2024, 443-483
2. Pravin Kumar, Tushar Kanta Naik, and Mahender Singh, Congruence subgroups and crystallographic quotients of small Coxeter groups, Forum Mathematicum, 36(1), 2024, 193-213.
3. Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Structure and automorphisms of pure virtual twin groups, 2023, Monatsh. Math., 202 (3), 2023, 555 – 582.
4. 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.
5. Rijubrata Kundu, Tushar Kanta Naik, and Anupam Singh, Nilpotent Lie algebras of breadth type (0, 3), Communications in Algebra, 51 (9), 2023, 3792 – 3809.
6. Tushar Kanta Naik, and Mahender Singh, Automorphisms of odd Coxeter groups, Monatsh. Math., 195 (3), 2021, 501 – 521.
7. Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Some remarks on twin groups, J. Knot Theory Ramifications, 29 (10), 2020, 2042006, 14 pp.
8. Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Conjugacy classes and automorphisms of twin groups, Forum Math., 32 (5), 2020, 1095 – 1108.
9. 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.
10. Tushar Kanta Naik, On the probability distribution associated to commutator word map in finite groups, Communications in Algebra, 47 (9), 2019, 3808 – 3817.
11. Tushar Kanta Naik, and Manoj K. Yadav, Finite p-groups of conjugate type {1, p³}, J. Group Theory, 21 (1), 2018, 65 – 82.

1. 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.
2. Combinatorial group theory / Low dimensional topology: Coxeter groups and Artin groups, Braid groups, Planar braid groups, their virtual analogous and pure subgroups.
3. (Nilpotent) Lie algebra: Classification of finite dimensional nilpotent Lie algebras, Camina Lie algebras, Breadth of a Lie algebra.

• 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.

Teaching at Conferences/Workshops/Outreach Programs

• Extra-Mural Lecture on Exploring the beauty of Group theory, Sundargarh Govt. College, 19th February, 2024
• High-School Algebra, Rural Mathematics Talent Search Program, Dungripali High School, Sonepur, Odisha, December 2023.
• Combinatorial Group Theory,  Workshop on Group Theory and Around, HRI, December 2023.
• Number Theory: SOPM, NISER, May-June 2023

1. Member, Ph.D. Monitoring Committee, SMS (School of Mathematical Sciences, NISER), (2023 - 2024 ).
2. Member, UGCS, School of Mathematical Sciences, NISER, 2022 - till date.
3. Convener, SMS (School of Mathematical Sciences, NISER) Website, (2022 - till date).