Publications:

• Bounds for canonical Green's functions at cusps (with A. von Pippich), Preprint, Research in Number Theory,

     Volume 11, article number 82, (2025).Volume 11, article number 82, (2025).

• The intersection matrices of X_0(p^r) and some applications (with D. Banerjee and C. Chaudhuri), Journal of Algebra and Its Applications (JAA), 2025, Preprint.

• Modular forms with non-vanishing central values and linear independence of Fourier coefficients (with D. Banerjee), Preprint, The Ramanujan Journal, 2024.

• Bounds for canonical Green’s functions of cofinite Fuchsian groups at cusps, Ph.D. thesis, TU-prints, 2022.

• Off-diagonal estimates of the Bergman kernel on hyperbolic Riemann surfaces of finite volume-II (with A. Aryasomayajula), Annales de la Faculté des sciences de Toulouse: Mathématiques, Série 6, Tome 29 no. 4, p. 795-804, 2020.

• Off-diagonal estimates of the Bergman kernel on hyperbolic Riemann surfaces of finite volume (with A. Aryasomayajula), Proceedings of AMS, Vol. 146, p. 4009-4020, 2018.