Specialization

Analytic Number Theory

Email

nilanjan.bag@thapar.edu

Specialization:

Analytic Number Theory

Designation :

Assistant Professor

Email:

nilanjan.bag@thapar.edu / nilanjanb2011@gmail.com

Personal Website:

https://sites.google.com/view/nilanjanbag/home

Biography:

Nilanjan Bag is working as an Assistant Professor in the Department of Mathematics, Thapar Institute of Engineering & Technology (TIET), Patiala since July, 2024. He completed his Ph.D. from Indian Institute of Technology Guwahati in 2020. Then he joined Harish-Chandra Research Institute as Postdoctoral Fellow (2021-2022). Afterwards he joined Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math as NBHM postdoctoral fellow (2022-2024). His research interest is topics in analytic number theory, in particular currently he is working on exponential and character sums, L-functions, function fields and sieve methods and other topics.

Education:

Ph.D., Indian Institute of Technology Guwahati. (January, 2016 - December, 2020, Advisor: Prof. Rupam Barman)

Experiences:

• Assistant Professor, Thapar Institute of Engineering and Technology, Patiala. ( July 08, 2024- Present)
• NBHM Post-Doctoral fellow, Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math. (February 21, 2022 - July 06, 2024, Mentor: Prof. Stephan Baier)
• Post-Doctoral fellow, Harish- Chandra Research Institute. (February 17, 2021 - February 16, 2022)

Research Interest:

Exponential and Character sums, L- functions, Function fields, Sieve methods and other topics in analytic number theory.

Publications:

1. L Wang, N Bag, Fourth power mean values of generalized Kloosterman sums. Functiones et Approximatio Commentarii Mathematici, 1-11 (2024).
2. N Bag, Moments of Kummer sums weighted by L-functions, The Ramanujan Journal, 64, 1161–1177 (2024).
3. N Bag, A Haldar, Fourth power mean of the general s-dimensional Kloosterman sum mod p, Finite Fields and Their Applications, 94, (2024).
4. R Lui, N Bag, Fourth power mean values of one kind special Kloosterman's sum, Electronic Research Archive, 31 (10), 2023.
5. N Bag, A Rojas-Leon, Z Wenpeng, On some conjectures on generalized quadratic Gauss sums and related problems, Finite Fields and Their Applications, 86 (2023).
6. N Bag, I E Shparlinski, Bounds of bilinear sums of Kloosterman sums, Journal of Number Theory, 242 (2023), 102-111.
7. N Bag, A Rojas-Leon, Z Wenpeng, An explicit evaluation of 10-th power moment of quadratic Gauss sums and some applications, Functiones et Approximatio Commentarii Mathematici, 66 (2022), 253-274.
8. N Bag, R Barman, Higher order moments of generalized quadratic Gauss sums weighted by L-functions, Asian Journal of Mathematics , 25 (3) (2021), 413-430.
9. N Bag, I E Shparlinski, Bounds of some double exponential sums, Journal of Number Theory, 219 (2021), 228-236.
10. N Bag, R Barman, Fourth power mean of the general 4-dimensional Kloosterman sum mod p, Research in Number theory, 6 (2020), Article no. 31, 16 pages
11. N Bag, R Barman, An improved estimate of fourth power mean of the general 3-dimensional Kloosterman sum mod p, Functiones et Approximatio Commentarii Mathematici, 64(1) (2021), 39-45.

Under Review:

1. Multiple exponential sums and their applications to quadratic congruences. (with Stephan Baier and Anup Haldar)
2. Weighted exponential sums and its applications. (with Dwaipayan Mazumder)