Dr Ratnadeep Acharya

14. 05. 2018 to 15.04.2019 – Post Doctoral Fellow at Harish-Chandra Research Institute, Prayagraj
16.04.2019 to 30.04.2022 – NBHM Post Doctoral Fellow at RKMVERI, Belur Math
02.05.2022 to 17.07.2023 – Post Doctoral Fellow at Harish-Chandra Research Institute, Prayagraj

1.Modular analogues of classical problems in Number Theory
2.Strong estimation of exponential sums involving Fourier coefficients of cusp forms
3.Subconvexity bounds for $L$-functions, attached to cusp forms

1. An analogue of the Bombieri-Vinogradov theorem for Fourier coefficients of cusp forms - R. Acharya - Mathematische Zeitschrift, 288 (1), 23 - 37 (2018).
2. Strong orthogonality between the M{" o}bius function, additive characters and coefficients of the $L$-functions of degree three - R. Acharya - Journal of Number Theory - 203, 211 –229 (2019).
3. Subconvexity bound for $GL(2)$ $L$-functions: t-aspect - R. Acharya , S. Kumar, G. Maiti and S. Singh - Acta Arithmetica - 194, 111 - 133 (2020).
4. An exponential sum involving Fourier coefficients of eigenforms for $SL(2,mathbb{Z})$ - R. Acharya and S. Singh - The Ramanujan Journal - 54, 699 - 716 (2021)
5. Exponential sums of squares of Fourier coefficients of cusp forms - R. Acharya - Proc. Indian Acad. Sci. Math. Sci.- 130, 24 (2020)
6. A twist of the Gauss Circle Problem by holomorphic cusp form - R. Acharya - Research in Number Theory - 8, 1-14, (2022)
7. $t$-aspect subconvexity for $GL(2) times GL(2)$ $L$-function - R. Acharya, P. Sharma and S. Singh - Journal of Number Theory - 240, 296-324 (2022)
8. A Modular Analogue of a Problem of Vinogradov - R. Acharya, S. Drappeau, S. Ganguly and O. Ramare - to appear in The Ramnajujan Journal.