TEACHING at IIT JAMMU

• Linear algebra and differential equations (B.Tech., 2nd Sem), 2021-2022.

• Galois Theory (Ph.D. Coursework), 2022-2023.

• Functional Analysis (Ph.D. Coursework), 2022-2023.

• Linear algebra and differential equations (B.Tech., 2nd Sem), 2022-2023.

• Number Theory (B.Tech. elective), 2023-2024.

• Real and Complex Analysis (B.Tech. elective), 2023-2024.

• Introduction to Modular Forms (Ph.D. Coursework), 2024-2025.

• Number Theory (B.Tech., elective), 2024-2025.

• Calculus (B.Tech., Summer term), 2024-2025.

• Calculus (B.Tech., 1st Sem), 2025-2026.

• Probability and Stochastic Process (B.Tech. core), 2025-2026.

• Preparatory Mathematics II (Preparatory), 2025-2026.

PARTICIPATION IN WORKSHOPS/CONFERENCES

• Recent Trends in Number Theory, IISER Pune, 20-24 January 2026.

• Primes, Patterns and Propagation, IISER Kolkata, 08-12 December 2025. 

• Rain, Root and Riemann: A Symposium on Number Theory, NEHU, Shillong, 06-10 October 2025.

• Harmonic Maass Forms, Mock Modular Forms, and Their Applications, ICTS Bangalore, 30 June-04 July 2025.

• Recent Advances in Mathematics and Related Areas, SRM University AP, 14-19 January 2025.

• International Conference on Lie Algebra and Number Theory, NIT Calicut, 10-14 June 2024.

• An Introduction to p-adic Methods in Arithmetic, SRM University AP, Mangalagiri, 10-15 July 2023.

• Workshop on Number Theory, NISER Bhubaneswar, 20-25 February 2023.

• IISER Bhopal Math Symposium, IISER Bhopal, 25-26 March 2022.

• Annual Meeting of the Israel Mathematical Union, Ben Gurion University of the Negev, Beer Sheva, Israel, 06 July 2021.

• International Conference on Number Theory and Algebra, IIT BHU, Varanasi, 23 December 2020.

• Algebraic and Analytic Aspects of Automorphic Forms, ICTS, Bengaluru, 25 Feb - 07 Mar 2019.

• 5th Mumbai-Pune Number Theory Seminar, IISER Pune, 15-16 February 2019.

• International Conference in Number Theory, KSOM, Kozhikode, 10-14 Dec 2018.

• Workshop on Number Theory, NISER, Bhubaneswar, 30 Nov - 06 Dec 2018.

• Workshop on Modular Forms, KSOM, Kozhikode, 12-14 Oct 2018.

• School on Modular Forms, KSOM, Kozhikode, 12-24 Feb 2018.

• Analytic Number Theory, ATM Workshop, ISI, Kolkata, 26-30 Dec 2017.

• Number Theory: Arithmetic, Diophantine and Transcendence, celebrating 130th birth anniversary of S. Ramanujan, IIT Ropar, Rupnagar, 22-25 Dec 2017.

• International Conference on Class Groups of Number Fields and Related Topics, HRI, Allahabad, 04-07 Sept 2017.

• Siegel modular forms and associated representations, GIAN Course by Prof. Ameya Pitale, IISER Pune, 07-18 Aug 2017.

• 31st Automorphic Forms Workshop, East Tennessee State University, Johnson City, Tn, USA, 06-09 Mar 2017.

• Combinatorics and Number Theory Meet, On the occasion of the 60th birth anniversary of Prof. S. D. Adhikari, HRI, Allahabad, 19-23 Feb 2017.

• School and Workshop on Modular Forms and Black Holes, NISER, Bhubaneswar. 05-14 Jan 2017.

• Discussion Meeting on Automorphic forms, NISER, Bhubaneswar. 21 - 27 Dec 2016.

• International Conference of TIMC in Corporation with AMS, BHU, Varanasi, 14-17 Dec 2016.

• Two days Number Theory Meet, HRI, Allahabad, 06-07 Sept 2016.

• Number Theory Conference on Arithmetic Geometry and L-Functions, In honor of Prof. V. Kumar Murty, KSOM, Kozhikode, 17-21 Aug 2016.

• Building Bridges: 3rd EU/US Summer School+Workshop on Automorphic Forms and Related Topics, University of Sarajevo, Bosnia and Herzegovina, 11 - 22 July 2016.

• Automorphic Forms on Metaplectic Groups and Related Topics, IISER Pune, Pune, 04-09 July 2016.

• Triveni Number Theory Conference, On the occasion of the 65th birth anniversary of   Prof. R. Balasubramanian, HRI, Allahabad, 04-08 Mar 2016.

• Workshop on Automorphic Forms, KSOM,  Kozhikode, 10-16 Feb 2016.

• International Conference on Automorphic Forms and Applications, KSOM, Kozhikode, 13-14 Feb 2015.

• Workshop on Jacobi Forms and Modular  Forms, KSOM, Kozhikode, 02-12 Feb 2015.

• Discussion Meeting on Analytic Number Theory, TIFR, Mumbai, 05-09 Jan 2015.

• Winter School on Modular Functions in One and Several Variables, Goa University, Goa, 08-17 Dec 2014.

• AIS- Algebraic Number Theory, CMI, Chennai, 07-26 July 2014.

• Discussion Meeting on Algebraic Curves, HRI, Allahabad, 19 Feb - 5 Mar 2014.

• AIS- Analytic Number Theory,  KIIT, Bhubaneswar, 10-30 June 2013.

• Summer Program in Mathematics, HRI, Allahabad, June 2011.

• Basic Training Program in Mathematics, Brahmanand P. G. College, Kanpur, 2008.

RESEARCH TALKS (Conferences/Seminars)

• Squarefree levels of reducible modular mod l Galois representations, Recent Advances in Mathematics and Related Areas SRM University AP, 14 January, 2025

• Certain squarefree levels of reducible modular mod l Galois representations, Introduction to the p-adic local Langlands program, IIT Jammu, 17-25 September 2024.

• On the Ramanujan Tau function, Faculty Development Programme, VIT Chennai, 16 March 2024.

• Life and Work of Srinivasa Ramanujan, Central University of Jammu, 20 Dec 2023.

• Ramanujan Congruences for prime level, An Introduction to p-adic Methods in Arithmetic, SRM University AP, Mangalagiri, 10-15 July 2023.

• Ramanujan Congruences, IIT BHU Mathematics Seminar, IIT BHU, 01 March 2023. 

• Ramanujan Congruences for prime level, Workshop on Number Theory, National Institute of Science Education & Research (NISER) Bhubaneswar, 20-25 Feb 2023.  

• Ramanujan style congruences, Recent Advances in Mathematics, Central University of Jammu, 21 Oct 22.

• Distinguishing Siegel eigenforms from Hecke eigenvalues, The international seminar on automorphic forms, Technische Universitat Darmstadt, Darmstadt, Germany, 07 June 2022.

• Distinguishing Siegel eigenforms, IISER Bhopal Math Symposium, IISER Bhopal, 26 March 2022.

• Modular forms and applications, The National Institute of Engineering, Mysuru, 10 Feb 2022.

• Distinguishing Siegel eigenforms from Hecke eigenvalues, Number theory lunch seminar, Max Planck Institute for Mathematics, Bonn, Germany, 26 Jan 2022.

• Ramanujan-style congruences for prime level, Number Theory Seminar, The Hebrew University of Jerusalem, Israel, 08 Nov 2021.

• Distinguishing Siegel eigenforms from Hecke eigenvalues, Representation Theory Seminar, Bar-Ilan University, Israel, 07 Dec 2021.

• Strong multiplicity one for Siegel cusp forms of degree two, HUJI-BGU Number Theory seminar, 28 Dec 2020.

• Strong multiplicity one for Siegel cusp forms of degree two, International Conference on Number Theory and Algebra, IIT (BHU), Varanasi, Dec 2020.

• Completely continuous endomorphisms of p-adic Banach spaces, TIFR student seminar, TIFR, Mumbai, 02 April 2019.

• Reductions of Galois representations and the theta operator, 5th Mumbai-Pune number theory seminar, IISER Pune, 15 - 16 Feb 2019.

• Certain identities among eigenforms, Workshop on Number Theory, NISER Bhubaneswar, 30 Nov - 06 Dec 2018.

• Certain identities among eigenforms, TIFR Colloquium, 25 Oct 2018.

• Certain identities among eigenforms, Workshop on modular forms, KSOM, Kozhikode, 12 - 14 Oct 2018.

• On the Ramanujan-Serre differential map, Colloquium talk, University of Chile, Santiago, Chile, 04 April 2018.

• Identities among eigenforms, Number Theory Seminar, University of Chile, Santiago, Chile, 28 Mar 2018.

• On the Ramanujan's operator, School on modular forms, KSOM, Kozhikode, 22 - 24 Feb 2018.

• Estimates for Fourier coefficients of Hermitian cusp forms of degree two, Number theory: Arithmetic, Diophantine and Transcendence, IIT Ropar, 22 - 25 Dec 2017 IIT Ropar.

• Rankin-Cohen brackets and identities among eigenforms, NISER, Bhubaneswar, 14 July 2017.

• On the Serre derivative and its applications, Western Kentucky University, Bowling Green, Kentucky, USA, 10 - 14 Mar 2017.

• The adjoint map of the Serre derivative and its application, 31st Automorphic Forms Workshop, East Tennessee State University, Johnson City, Tn, USA, 06 - 09 Mar 2017.

• The adjoint map of the Serre derivative and its application, Discussion Meeting on Automorphic forms, NISER, Bhubaneswar, 21 - 27 Dec 2016.

• Adjoint of Serre derivative map and special values of shifted Dirichlet series, Two days Number Theory Meet, HRI, Allahabad,  06 - 07 Sept 2016.

• On arbitrary products of eigenforms, Building Bridges: 3rd EU/US Workshop on Automorphic Forms and Related Topics, University of Sarajevo, Bosnia, 18 - 22 July 2016.

• On arbitrary products of eigenforms, Workshop on Automorphic forms, KSOM, Kozhikode, India, 10 - 16 Feb 2016.

• On arbitrary products of eigenforms, HRI, 2016.

• Construction of cusp forms using adjoint of some linear maps, HRI, 2015.

• Biquadratic reciprocity law, HRI, 2013.

ACADEMIC VISITS

• University of Chile, Santiago, Chile, 08 March - 05 April 2018.

• Harish-Chandra Research Institute, Allahabad, India, 05 - 26 November 2017.

• Western Kentucky University, Bowling Green, Kentucky, USA, 10 - 14 March 2017.

• Kerala School of Mathematics, Kozhikode, India, 15 - 22 Feb 2015; 25 Aug - 6 Dec 2015; 30 Jan - 20 Feb 2016.

• National Institute of Science Education and Research, Bhubaneswar, India, 07 Dec 2015 - 28 Jan, 2016; 28 Dec 2016 - 04 Jan 2017; 13 July - 5 Aug 2017.

• The Institute of Mathematical Sciences (IMSc), Chennai, India, 29 May - 5 July 2014.

TUTORIALS

• Modular forms, School on modular forms, KSOM, Kozhikode, 12 - 20 Feb 2018.

• Measure theory, SPIM, HRI, Allahabad, 13 June - 02 July 2016.

• Number Theory, Analytic Number Theory, KSOM, Kozhikode, 05 - 17 Oct 2015.

• Functional Analysis, AFS-II, KSOM, Kozhikode, May 2014.