About Me:

I, Gautam Kalita, have been serving as an Assistant Professor of Mathematics in the Department of Science and Mathematics,
Indian Institute of Information Technology Guwahati, since April, 2014. Prior to joining IIIT Guwahati, I have acquired the following education qualifications:
 Ph. D. in Mathematical Sciences from Tezpur University, Assam (January 2011February 2014).
Title of Ph. D. Thesis: Certain families of algebraic curves and polynomials, and their connections to hypergeometric functions.
Thesis Advisor: Dr. Rupam Barman, Associate Professor, IIT Guwahati.  Master of Science (M. Sc.) in Mathematics from Tezpur University, Assam (20082010).
Title of M.Sc Dissertation: Permutation polynomials over finite fields.
Supervisor: Dr. Rupam Barman, Associate Professor, IIT Guwahati.  Bachelor of Science (B. Sc.) with Mathematics honours from Bajali College, Pathsala under Gauhati University, Assam (20052008).
 INSPIRE Fellowship from DST, Govt. of India to pursue Ph.D. for securing 1st class 1st position in M.Sc. in Mathematics.
Duration of the fellowship 20112016 (availed only one year).
 UGCCSIR Junior Research Fellowship (JRF+LS) in Mathematical Sciences, June 2010.
 Graduate Aptitude Test in Engineering (GATE) 2010 in Mathematics.
 UGCCSIR Junior Research Fellowship (JRF+LS) in Mathematical Sciences, December 2009.
 Undergraduate Rank Holder Scholarship from UGC, India for securing overall university 1st class 1st position in B.Sc. in Mathematics.
Duration of the fellowship 20082010.
Research:

The broad areas of my research are Number Theory, Algebra, and Cryptography.
 Transformations and special values of Gaussian hypergeometric series; and their connections to supercongruences, Funded by DSTSERB, 20182021.
 Arjun Singh Chetry: Joined in December 2015.
 Arijit Jana: Joined in July 2017.
In particular, I am interested in algebraic varieties, hypergeometric functions, padic analysis, supercongruences, Apérylike numbers, modular forms, and permutation polynomials.
Projects
Ph.D. Students
Teaching:

I have taught the following courses at IIIT Guwahati:
 MA102 Mathematics II.
 MA205 Discrete Mathematics.
 CS401 Number Theory in Cryptography.
Publications:
 Generalization of ceratin cases of Swisher's conjectural supecongruences on truncated hypergeometric series (Under Review).
 On some supercongruence conjectures of Swisher for truncated hypergeometric series (Under Review).
 More on a generalized Apéry number (Under review).
 On a supercongruence conjecture of Z.W. Sun (under review).
 On some supercongruences concerning truncated hypergeometric series, Proceedings of the American Mathematical Society , Accepted for publication (with Arjun Singh Chetry).
 Values of Gaussian hypergeometric series and their connections to algebraic curves, International Journal of Number Theory (World Scientific), 14 (1), 118, 2018.
 Beukerslike supercongruences for generalized Apéry numbers, The Ramanujan Journal (Springer), https://doi.org/10.1007/s1113901799323 (2017).
 Congruences for generalized Apéry numbers and Gaussian hypergeometric series, Research in Number Theory (Springer), 3:5, 2017 (with Arjun Singh Chetry).
 Hyperelliptic curves over Fq and Gaussian hypergeometric series, Journal of Ramanujan Mathematical Society, 30 (3), 331348, 2015 (with Rupam Barman).
 Hyperelliptic curves and values of Gaussian hypergeometric series, Archiv der Mathematik (Basel) (Springer), 102 (4), 345355, 2014
(with Rupam Barman and Neelam Saikia).
 Hypergeometric functions over Fq and traces of Frobenius for elliptic curves, Proceedings of the American Mathematical Society 141 (10), 34033410, 2013
(with Rupam Barman).
 Elliptic Curves and Special Values of Gaussian hypergeometric series, Journal of Number Theory (Elsevier) 133 (9), 30993111, 2013 (with Rupam Barman).
 On the polynomial equation x^d + ax + b = 0 and Gaussian hypergeometric series, International Journal of Number Theory (World Scientific) 9 (7), 17531763,
2013 (with Rupam Barman).
 Certain values of Gaussian hypergeometric series and a family of algebraic curves, International Journal of Number Theory (World Scientific) 8 (4), 945961,
2012 (with Rupam Barman).
 Hypergeometric functions and a family of algebraic curves, The Ramanujan Journal (Springer) 28 (2), 175185, 2012 (with Rupam Barman).
 Certain transformation formulas for Gaussian hypergeometric series, Proceedings of 10th International Conference of IMBIC on Mathematical Sciences for
Advancement of Science and Technology, Institute for Mathematics, Bioinformatics, Information Technology and Computer Science, Kolkata 700091, West Bengal,
India, December 2123, 2016.
 International Journal of Number Theory (World Scientific).
 Proceedings of the National Academy of Sciences, India Section A: Physical Sciences (Springer).
Journals
Conferences
Reviewing work

I have been serving as a Reviewer for Mathematical Reviews, published by the American Mathematical Society, since 2017.
I have been also serving as a Referee of research articles for the following journals:
Last Updated On 31st July, 2018
Dr. Gautam Kalita
Assistant Professor of Mathematics.
PhD (Tezpur University).
Email:
gautam.kalita@iiitg.ac.in