Ph.D. Students:

Completed:

1. Dr. Gautam Kalita (Thesis defended on Feb 28, 2014)

   Title of the thesis: Certain families of algebraic curves and polynomials, and their connections to hypergeometric series.

   Present Position: Professor, Bhattadev University, Assam.

   Previous Positions held: (1) Associate Professor, Indian Institute of Information Technology (IIIT) Guwahati (May 2014-June 2024).

2. Dr. Neelam Saikia (Thesis defended on April 29, 2016).

   Title of the thesis: Hypergeometric series in the p-adic setting, truncated hypergeometric series and supercongruences.

   Present Position: Assistant Professor, Indian Institute of Technology, Bhubaneswar.

   Previous Positions held: (1) DST Inspire Faculty (2016-2021) at IIT Guwahati and IISc Bangalore.

   (2) Fulbright-Nehru Postdoctoral Scholar, University of Virginia, USA under Prof. Ken Ono (May 2021-May 2022).

   (3) Postdoctoral fellow at the University of Vienna, Austria under Prof. Michael J. Schlosser (June 2022-October 2022).

3. Dr. Chiranjit Ray (Thesis defended on May 29, 2019).

   Title of the thesis: Arithmetic properties of certain partition functions and modular forms.

   Present Position: Assistant Professor, NIT Calicut.

   Previous Positions held: (1) Post Doctoral Fellow, Harish-Chandra Research Institute (HRI), Prayagraj (Allahabad), June 2019-Oct 2021.

   (2) Post Doctoral Fellow, ISI Delhi, Nov 2021-Sept 2022.

   (3)Assistant Professor, Indian Institute of Information Technology (IIIT), Sri City (Andhra Pradesh), Oct 2022-Sep 2023.

4. Dr. Nilanjan Bag (Thesis defended on December 21, 2020).

   Title of the thesis: Some problems on exponential sums.

   Present Position: Assistant Professor, Thapar Institute of Engineering and Technology, Patiala.

   Previous Positions held: (1) NBHM Post Doctoral Fellow under Prof. Stephan Baier, RKMVERI

   (2) Post Doctoral Fellow, Harish-Chandra Research Institute (HRI), Prayagraj (Allahabad)

5. Dr. Mohit Tripathi (Thesis defended on January 19, 2021).

   Title of the thesis: Appell series over finite fields and Gaussian hypergeometric series.

   Present Position: Postdoctoral fellow at Texas Tech University, USA.

   Previous Position: Research Associate, NISER Bhubaneswar (February 2021-July 2023).

6. Dr. Ajit Singh (Thesis defended on May 12, 2022).

   Title of the thesis: Divisibility of certain partition functions and modular forms .

   Present Position: Fulbright-Nehru Postdoctoral Scholar, University of Virginia, USA under Prof. Ken Ono.

   Previous Position: Research Associate, IIT Guwahati (May 2022-August 2023)

7. Dr. Anwita Bhowmik (Thesis defended on December 23, 2023).

   Title of the thesis: Paley and Peisert graphs over finite fields and their generalizations .

   Present Position: Postdoctoral Scholar, Hebei Normal University, China under Prof. Goryainov Sergey.

Continuing:

1. Ms. Deepa Antony: Joined in January 2020.

2. Mr. Gurinder Singh: Joined in July 2020.

3. Ms. Sulakashna: Joined in July 2020.

4. Mr. Alapan Ghosh: Joined in January 2023.

5. Ms. Sipra Maity: Joined in January 2023.

Post Doctoral Fellows:

1. Dr. Ajit Singh (May 2022--August 2023)

2. Dr. Zakir Ahmed (2017--2018)

3. Dr. Sneh Bala Sinha (2017--2018)

M. Tech. Students: The following students did their M. Tech. projects under my guidance.

1. Mr. Harsimran Singh: Partitions: Warnaar's Bijection and Colored Partition Identities (2015-2016) (IIT Delhi).

2. Mr. Archit Sachdeva: Partitions: Dyson and M2 Rank Differences (2015-2016) (IIT Delhi).

M.Sc. Students: The following students did their MSc projects under my guidance.

1. Tamanna Jangid, Identification numbers and check digit schemes, Jan-April 2024 (IITG).

2. Arijit Pal, A study on algebraic numbers, Jan-April 2023 (IITG).

3. Ritwik Prabin Kalita, A study on algebraic numbers and algebraic integers, Jan-April 2022 (IITG).

4. Vandana Rao, Modular forms for SL2(Z), Jan-May 2022 (IITG).

5. Paromita Bordoloi, Rational points on elliptic curves, Jan-April 2021 (IITG).

6. Anuradha Kumari, A study on algebraic numbers, Jan-May 2020 (IITG).

7. Aishwarya Jaiswal, A study on p-adic numbers, Jan-May 2020 (IITG).

8. Abhinav Kumar Mishra, Irrationality of Zeta values and Apery numbers, Jan-May 2019 (IITG).

9. Subhrajyoti Bhattacharyya, Ramanujan's tau function, Jan-May 2019 (IITG).

10. Mrityunjoy Charan, Binary quadratic forms and primes of the form p = x^2 + ny^2, Jan-May 2018(IITG).

11. Saikat Ghosh, Application of UFD in solving Diophantine equations, Jan-May 2018 (IITG).

12. Ms. Pratibha Gupta: Polynomials over finite fields, Jan-May 2017 (IITG).

13. Vishal Agarwal, Reciprocity Laws and their applications, 2015-2016 (IIT Delhi).

14. Vijayluxmi, A study on algebraic numbers, 2015-2016 (IIT Delhi).

15. Pradeep, q-series and partition, 2015-2016 (IIT Delhi)

16. Gaurav Seth, Modular Forms and partitions, 2015-2016 (IIT Delhi).

17. Aditi Gupta, Irreducible Polynomials over finite fields, 2014-2015 (IIT Delhi).

18. Soumen Sahoo, Gauss and Jacobi sums, 2014-2015 (IIT Delhi).

19. Kiran Nagarkoti and Punnet, Permutation polynomials over finite fields, 2014-2015 (IIT Delhi).

20. Ankita Sen and Hasanur Rahman, Algebraic and topological properties of p-adic numbers, 2014- 2015 (IIT Delhi).

    In addition to the above, I supervised about 25 MSc projects during 2002-2012 at Tezpur University.

B. Tech project supervision: The following students did their BTP projects under my guidance.

1. G Yuvan Shankar, Study on seperable integer partitions, July 2023-May 2024.

2. Shivam Saini, Some elementary partition inequalities and their implications, July 2023-May 2024.

3. Meghna Barnwal and Dipika Agrawal, Arithmetic properties of certain partition functions, July 2022-May 2023.

4. Animesh Renanse (EEE, Samsung Fellow), Classical Algebraic Geometry and Applications in Cryptography, July 2021-May 2022.

5. Ayaz Anis and Raunak Tiwari, A study on integer partitions, July 2021-May 2022.

6. Mogillapalli Nikhil and Tumarada Aditya, A study on Paley Garphs, July 2020- May 2021.

7. M. Siva Venkata Ranga Reddy and Pranav Jangir, A study on partition functions, July 19-May 2020.

8. Seralathan V. S. (M&C) and Abhishek Tyagi (CSE), Mao's conjectures on Rank differences, July 2017-May 2018.

I supervised the following students under Science Academies' Summer Research Fellowship Programme

1. Mr. Varghese Babu, NISER Bhubaneswar (May-July 2013).

   Title of project: A Study on Group Representation Theory

2. Mr. Tushar Bag, IIT Kanpur (May-July 2013).

   Title of project: Cubic and Biquadratic Reciprocity

3. Ms. Geethanjali Nair, Pondicherry University (May-July 2014).

   Title of project: Permutation Polynomials over Finite Fields

4. Ms. Ritika Gulati, IIT Delhi (May-July 2014).

   Title of project: Galois Theory

5. Ms. Ramya P., Mangalore University (May-July 2017).

   Title of project: Group of Symmetries

6. Mr. Rahul Gogoi, St. Anthony College, Shillong (May-July, 2020).

   Title of project: A study on The Congruent Number Problem

7. Mr. Arpan Chandra Mazumder, University of Hyderabad (May-July, 2020).

   Title of project: A study on cyclotomic number fields

8. Mr. Bibhash Kafle, Tezpur University (July-August 2022).

   Title of project: Congruence subgroups of SL2(Z)

9. Mr. Liton Karmakar, Tezpur University (July-August 2022).

   Title of project: A study on characters of finite abelian group

10. Mr. Ananyo Mondal, IISER Berhampur (May-July 2023).

    Title of project: Primes of the form x^2+ny^2

11. Ms. Sharddhaa Sahu, Tezpur University (July-August 2023).

    Title of project: A study on finite groups of order upto 20

Summer/Winter Intern:

1. Mr. Amajit Sarma, IISER Bhopal (May-July 2017).

2. Ms. Tejosenu Rhetso, Kohima Science College, Nagaland (June-July 2021).

3. Mr. Nirjhar Nath, CMI, Chennai (November-December, 2022). Project title: Continued fractions and Pell's equation.