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. Neeraj Kumar Dhanwani, Pravin Kumar, Tushar Kanta Naik, and Mahender Singh, Linearity, crystallographic quotients, and automorphisms of virtual Artin groups, Submitted, https://arxiv.org/abs/2409.10270.
2. Pravin Kumar, Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Commutator subgroups and crystallographic quotients of virtual extensions of symmetric groups, Journal of Pure and Applied Algebra, 228 (2024), no. 11, Paper No. 107713, 27 pp.
3. Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Virtual twin groups and permutations, J. Group Theory, 27 (3), 2024, 443-483
4. Pravin Kumar, Tushar Kanta Naik, and Mahender Singh, Congruence subgroups and crystallographic quotients of small Coxeter groups, Forum Mathematicum, 36(1), 2024, 193-213.
5. Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Structure and automorphisms of pure virtual twin groups, 2023, Monatsh. Math., 202 (3), 2023, 555 – 582.
6. 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.
7. Rijubrata Kundu, Tushar Kanta Naik, and Anupam Singh, Nilpotent Lie algebras of breadth type (0, 3), Communications in Algebra, 51 (9), 2023, 3792 – 3809.
8. Tushar Kanta Naik, and Mahender Singh, Automorphisms of odd Coxeter groups, Monatsh. Math., 195 (3), 2021, 501 – 521.
9. Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Some remarks on twin groups, J. Knot Theory Ramifications, 29 (10), 2020, 2042006, 14 pp.
10. Tushar Kanta Naik, Neha Nanda, and Mahender Singh, Conjugacy classes and automorphisms of twin groups, Forum Math., 32 (5), 2020, 1095 – 1108.
11. 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.
12. Tushar Kanta Naik, On the probability distribution associated to commutator word map in finite groups, Communications in Algebra, 47 (9), 2019, 3808 – 3817.
13. 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.

Ph.D. Thesis  (Ongoing)

1. Arijit Mahato (To be completed in 2029)

Master Thesis (Int. M. Sc. Student, NISER)

1. A. Rameswar Patro (2025 - 2026).
2. Aarjav Jogani (2024 - 2025). Received the Best Thesis Award.

Master Thesis (Int. M. Sc.-Ph.D. Student, NISER)

1. Arijit Mahato (2024 - 2025). Received the Best Thesis Award.

Post Doctoral Fellow:

1. Rahul Kaushik (April 2025 - till date).
2. Rohit Garg (July 2023 - July 2024).

One-Semester Projects (Int. M. Sc.-Ph.D. Student, NISER):

1. Ananta Sabata, Fall 2025.
2. Ananya Khutia, Fall 2025.
3. Pooja Patel,       Fall 2025.
4. Arijit Mahato,    Fall 2023, Spring 2024.
5. Saheli Panja,     Fall 2023.

One-Semester Projects (Int. M. Sc. Student, NISER):

1. Prasaman Ghosh (Int. M.Sc.), Fall 2023.

Summer Internship:

1. Ashrita Satapathy, IMA Bhubaneswar, May - June, 2025.
2. Manisha Panda, IMA Bhubaneswar, May - July, 2025.
3. Priyabrata Sandha, Sambalpur University, May - July, 2025.
4. Muskan Choudhary (Combinatorial and Geometric group theory), IISER Bhopal, May-July, 2024.
5. Krishna Dhrua (Symmetric Groups), NIT Rourkela, May-July, 2024.
6. Tulasi Behera (Groups of small order), NIT Rourkela, May-July, 2023.

NISER Students

1. A. Rameswar Patro,  May-July, 2025.
2. Aarjav Jogani (Braid groups), June-July, 2024.
3. Aditya Vikram Saraf (Free Product and Ping-pong Lemma), June-July, 2024.
4. A. Rameswar Patro (Combinatorial aspects of Coxeter groups), May-July, 2023.

1. Classical Groups (M553, MA880): Int. M.Sc. + Int.M.Sc.-Ph.D., NISER, Spring 2026.
2. Number Theory (M207, M305, MA703): Int. M.Sc. + Int.M.Sc.-Ph.D., NISER, Fall 2025.
3. Field Theory (M307, MA806): Int. M.Sc. + Int.M.Sc.-Ph.D., NISER, Spring 2025.
4. Algebra I (MAT 601): Ph.D., NISER, Fall 2024.
5. Group Theory (M202): Int. M.Sc., NISER, Spring 2024.
6. Topology (M405, MA803): Int. M.Sc. + Int. M.Sc.-Ph.D., NISER, Fall 2023.
7. Metric Spaces (M204): Int. M.Sc., NISER, Spring 2023.
8. Mathematical Analysis (MA702): Int. M.Sc.-Ph.D.,  NISER, Fall 2022.

Conferences/Workshops/Outreach Programs

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

1. Convener, PGCS, SMS, 2024 - till date.
2. Convener, SMS (School of Mathematical Sciences, NISER) Website, (July 2022 - July 2025).
3. Member, Selection Committee for Ph.D. Program, SMS, NISER, 2025
4. Member, Ph.D. Monitoring Committee, SMS, 2023, and 2024.
5. Member, Selection Committee for Int. M.Sc. - Ph.D. Program, SMS, NISER, 2023, and 2024. 
6. Member, Screening Committee for shortlisting Ph.D applications, SMS, NISER, 2024.
7. Member, UGCS, SMS, NISER, 2022 - 2024.