Probabilistic and Analytic Number Theory.

Formulas for moments of class numbers in arithmetic progressions, (with K. Bringmann and B. Kane), (to appear in Acta Arithmetica), Arxiv link: arXiv:2109.07325.

SatoTate distribution of padic hypergeometric functions, (with N. Saikia), (to appear in Research in Number Theory), Arxiv link: arXiv:2207.10375.

On signatures of elliptic curves and modular forms, (with A. Dąbrowski and J. Pomykała), (to appear in Ramanujan J).

Turán inequalities for the plane partition function, (with K. Ono and L. Rolen), (to appear in Advances of Mathematics), Arxiv link: arXiv:2201.01352.

A BombieriVinogradovtype theorem with prime power moduli, (with S. Baier), Acta Arithmetica 204 (2022), 115140.

On the normal number of prime factors of sums of Fourier coefficients of eigenforms, (with M. R. Murty and V. K. Murty), J. Number Theory, 233 (2022), 5977.

Distribution of signs of Karatsuba's and generalized DavenportHeilbronn $Z$functions, with M. K. Das, J. Number Theory, 212 (2020), 409447.

Traces of Hecke operators in level 1 and padic hypergeometric functions, with N. Saikia, Ramanujan J 52, 519–539 (2020). doi:10.1007/s1113901900170z.

Some remarks on the coefficients of symmetric power Lfunctions, with B. Kumar and J. Meher, Automorphic Forms and Related Topics, Contemporary Mathematics, Vol. 732, American Mathematical Society, (2019), 155164.

Distinguishing pure representations by normalized traces, with M.K Pandey and J.P Saha, J. Number Theory, 195 (2019), 217225.

Zeros of Lfunctions attached to cusp forms of halfintegral weight, with J. Meher and K.D Shankhadhar, Proc. Amer. Math. Soc., 147 (2019), 131143.

Zeros of $L$functions attached to modular forms of halfintegral weights, with J. Meher and K. Srinivas, Bull. Lond. Math. Soc., 49 (2017), 926936.

Distinguishing Hecke eigenforms, with M. R. Murty, Proc. Amer. Math. Soc., 145 (2017), 18991904.

Sign changes of coefficients of certain Dirichlet series, with J. Meher and K. D. Shankhadhar, Funct. Approx. Comment. Math., 52 (2015), Part 1, 117–126.

Odd moments for the trace of Frobenius and the SatoTate conjecture in arithmetic progressions, (with K. Bringmann and B. Kane), (submitted), Arxiv link: arXiv:2112.08205. All R

An allpurpose ErdosKac theorem, (with M. R. Murty and V. K. Murty), 2021, 15 pages, (submitted), (available on request).

Distribution of moments of Hurtiwz class numbers in arithmatic progressions and holomorphic projection (with B. Kane), (submitted), Arxiv link: arXiv:2010.15325 .

Zeros of higher derivatives of Riemann zeta function, (with M. K. Das), 2020, 40 pages, (preprint) (pdf).

Effective joint equidistribution of eigenvalues of Hecke operators, (Arxiv link: arXiv:1703.07944).

Distribution of gaps of eigenangles of Hecke operators, (submitted), (Arxiv link: http://arxiv.org/pdf/1603.06249.pdf).

Odd Semester 2022: I am teaching MA601  Algebra I (Graduate course).

Spring semester of 2022: M308 (Complex Analysis).
Invited talks:

2022 (May 17th) International Seminar On Automorphic forms (ETH Zurich and TU Darmstadt), SatoTate conjecture in arithmetic progressions for certain families of elliptic curves.

2022 (25th26th March) InHouse Symposium 2022, IISER Bhopal, A BombieriVinogradovtype theorem with prime power moduli.

2022 (January 11th) Intercollegiate Cryptology Seminar, Warsaw, Poland, On the normal number of prime factors of sums of Fourier coefficients of eigenforms.

2021 (December 29th) Webinar on Number Theory, Utkal University, Probabilistic methods in modular forms.

2021 (October 5th) Number theory seminar, Charles University, Arithmetic and statistics of sums of eigenvalues of Hecke operators.

2021 (August 27th) Ramakrishnan mission Vivekananda Educational and Research Institute, Distribution of moments of trace of Frobenius in arithmetic progressions and holomorphic projection.

2021 (August 20th) International webinar on Introduction and applications of Cryptography and Graph theory, B.J.B College, Mathematics in dailey life.

2021 (March 24th) Texas Tech University, Algebra and Number theory seminar, Arithmetic and statistics of sums of eigenvalues of Hecke operators.

2021 (March 8th) Institute of Mathematics Polish Academy of Science, Warsaw Number theory seminar, Arithmetic and statistics of sums of eigenvalues of Hecke operators.

2019 (11th March) The University of Ohio, Ohio State Number Theory Student Seminar, Distribution of signs and zeros of generalised DavenportHeilbronn function.

2019 (5th March) Duquesne University, Pittsburgh, Graduate Student Workshop, Probabilistic methods and modular forms.

2018 (16th July21th July) The University of Hong Kong, 2018 HKU Number Theory Days, Zeros of Dirichlet series attached to halfintegral weight cusp forms.

2018 (4th January) Indian Institute of Technology, Guwahati, IITG Mathematics Seminar series, In the neighborhood of SatoTate conjecture.

2017 (21st March) Jawaharlal Nehru University, In the neighborhood of SatoTate conjecture.

2017 (14th March) The University of Illinois at UrbanaChampaign, Number Theory Seminar, In the neighborhood of SatoTate conjecture.

2017 (14th March) The University of Illinois at UrbanaChampaign, U.S.A, Spring 2017, UIUC: MATH 532 Analytic Theory of Numbers II, Effective joint distribution of eigenvalues of Hecke operators.

2016 (21th December  27th December) National Institute of Science Education and Research, Discussion meeting on Automorphic forms, Arithmetic statistics of Automorphic forms.

2016 (7th September) Harichchandra Research Institute, Allahabad, 70th Birthday conference of prof. M. Waldschmidt, Statistics of eigenvalues of Hecke operators.

2016 (4th September) IISER Bhopal, Conference on Modular Forms, Arithmetic statistics of modular forms.

2016 (13th June  2nd July): Teaching assistant, Advanced Instructional School on Analytic theory of algebraic numbers, Bhubaneswar, (Basic Algebraic number theory).

2015 Advanced Instructional School on Analytic number theory, Bhubaneshwar (Teaching Assistant), Equidistribution theory, Beurling Selberg polynomials and Eichler  Selberg trace formula.
Contributed talks:

2022 (20th  24th June) Equidistribution and Arithmetic Dynamics, Oklahoma State University, SatoTate conjecture in arithmetic progressions for certain families of elliptic curves.

2021 (2nd October  3rd October) 2021 MaineQuebec Number Theory Conference, Distribution of moments of traces of Frobenious in arithmetic progression.

2021 (25th September  26th September) PAlmetto Joint Arithmetic, Modularity, and Analysis Series (PAJAMAS)III, An all purpose ErdosKac theorem.

2020 (26th September27th September) Université Laval, 2020 QuebecMaine Number Theory Conference, On the normal number of prime divisors of sum of eigenvalues of Hecke operators.

2020 (19th September20th September) PAlmetto Joint Arithmetic, Modularity, and Analysis Series, Arithmetic and statistics of sums of eigenvalues of Hecke operators.

2019 (6th March10th March) Duquesne University, 33rd Automorphic Forms Workshop, Zeros of Dirichlet series attached to halfintegral weight cusp forms and generalised DavenportHeilbronn function.

2017 (6th March9th March) East Tennessee State University, U.S.A, 31st Automorphic Forms Workshop, Distinguishing Hecke eigenforms.

2016 (7th March10th March) Wake Forest University, U.S.A, 30th Automorphic Forms Workshop, Distribution of gaps of eigenangles of Hecke operators.
Popular talks:

2020 (28th August) Arya Vidyapeeth College, Mathematics in daily life.

2018 (22th February) HarishChandra Research Institute, National Science Day 2018, Fun in Mathematics (Popular talk) (pdf).