Research interests: My research interests are Hida families, Hilbert modular forms, special values of L-functions, p-adic L-functions and Galois representations.
Publications and Preprints
Baskar Balasubramanyam, John Bergdall, Matteo Longo. A p-adic adjoint L-function and the ramification locus of the Hilbert modular eigenvariety. Preprint (ArXiv)
Baskar Balasubramanyam, Jishu Das, Kaneenika Sinha. A discrepancy result for Hilbert modular forms. Preprint (ArXiv)
Anilatmaja Aryasomayajula, Baskar Balasubramanyam, Dyuti Roy. Estimates of Picard modular cusp forms. To appear in Forum Mathematicum (ArXiv|Journal)
Anilatmaja Aryasomayajula, Baskar Balasubramanyam. Estimates of cusp forms for certain cocompact arithmetic subgroups. Proc. Amer. Math. Soc. 150 (2022), 4191-4201. (ArXiv|Journal)
Baskar Balasubramanyam. Critical values of Asai L-functions for GL(n) over CM fields. Preprint.
Baskar Balasubramanyam, Kaneenika Sinha. Pair correlation statistics for Sato-Tate sequences. Journal of Number Theory, Volume 202, September 2019, Pages 107-140. (ArXiv|Journal)
Baskar Balasubramanyam, Dipramit Majumdar. p-adic Asai transfer. J. Ramanujan Math. Soc. 34 (2019), no. 3, 305–324. (ArXiv)
Anilatmaja Aryasomayajula, Baskar Balasubramanyam. Estimates of automorphic cusp forms over quaternion algebras. International Journal of Number Theory Vol. 14, No. 4 (2018) 1143–1170. (Journal)
Baskar Balasubramanyam. p-adic distributions attached to twisted tensor L-functions for GL(2) over a CM field. Journal of Number Theory 176 (2017), 13–36. (Journal)
Baskar Balasubramanyam, A. Raghuram. Special values of adjoint L-functions and congruences for automorphic forms on GL(n) over a number field. American Journal of Mathematics, Volume 139, Number 3, June 2017, pp. 641-679. (Journal)
Baskar Balasubramanyam, Eknath Ghate, Vinayak Vatsal. On local Galois representations associated to ordinary Hilbert modular forms. Manuscripta Mathematica, March 2013. (Journal)
Baskar Balasubramanyam, Matteo Longo. Lambda-adic modular symbols over totally real fields. Commentarii Mathematici Helvetici, Volume 86 Issue 4 2011. (Journal)
Book chapters/Conference proceedings
Balasubramanyam B., Ghate E., Vangala R. (2020) p-adic Asai L-functions Attached to Bianchi Cusp Forms. In: Ramakrishnan B., Heim B., Sahu B. (eds) Modular Forms and Related Topics in Number Theory. ICNT 2018. Springer Proceedings in Mathematics & Statistics, vol 340. Springer, Singapore. https://doi.org/10.1007/978-981-15-8719-1_3
Book chapter: Baskar Balasubramanyam, Dipramit Majumdar. Ordinary families of automorphic forms on definite unitary groups. In p-adic aspects of modular forms, World Scientific, 2016.
Editorial work
p-adic aspects of modular forms. www.worldscientific.com/worldscibooks/10.1142/9761 Proceedings of a workshop held in IISER Pune in June 2014.