Preprints and Publications

  • Relative Trace Formula, Subconvexity and Quantitative Nonvanishing of Rankin-Selberg L-functions for GL(n+1)\(\times\)GL(n). Preprint. [arxiv]

  • (with Philippe Michel and Dinakar Ramakrishnan) Bessel Periods on U(3)\(\times\)U(2), Relative Trace Formula and Non-vanishing of Central L-values. Preprint. [arxiv]

  • Average of Central $L$-values for GL(2)\(\times\)GL(1), Hybrid Subconvexity, and Simultaneous Nonvanishing. Preprint. [arxiv]

  • Relative Trace Formula and twisted L-functions: the Burgess Bound. Preprint. [arxiv]

  • Relative Trace Formula and L-functions for GL(n+1)\(\times\)GL(n). Preprint. [arxiv]

  • (with Maksym Radziwill) Nonvanishing of Twists of GL(4) L-function. Preprint. [arxiv]

  • Arithmetic Distribution of Tempered Components of Cuspidal Representations on GL(3). Mathematische Zeitschrift 303.3 (2023): 66. [journal]

  • (with Liubomir Chiriac) Summing Hecke Eigenvalues over Polynomials. Mathematische Zeitschrift 302.2 (2022): 643-662. [journal]

  • A Coarse Jacquet-Zagier Trace Formula for GL(n) with Applications. Preprint. 70 pages.[pdf]

  • Holomorphy of Adjoint L-functions for GL(n): n \(\leq\) 4. Mathematische Annalen (2021), 1745-1805. [journal]

  • Average of Dirichlet Coefficients of Cuspidal Representations Related to GL(2). The Ramanujan Journal 56.1 (2021): 203-234. [journal]

  • (with Dinakar Ramakrishnan) A Constraint for Twist Equivalence of Cusp Forms on GL(n). Functiones et Approximatio Commentarii Mathematici 65.1 (2021): 105-117. [arxiv]

  • An Explicit CM Type Norm Formula and Effective Nonvanishing of Class Group L-functions for CM Fields, Pacific Journal of Mathematics 304.1 (2020): 347-384. [arxiv]

  • Diophantine Inequalities Involving a Prime and an Almost-prime, Journal of Number Theory, 170 (2017), 347-367. [journal]

  • (with Daniel Goldston) The Average Number of Goldbach Representations, in Prime numbers and representation theory, Lecture Series of Modern Number Theory, volume 2, (2017), 1-12. [arxiv]