List of publications

• The Weyl bound for triple product L-functions (with V. Blomer, S. Jana), 2021.
• Spectral aspect subconvex bounds for $\mathrm{U}_{n+1} \times \mathrm{U}_n$, 2020.
• Quadratic Hecke sums and mass equidistribution, IMRN, accepted for publication.
• Bounds for twisted symmetric square $L$-functions via half-integral weight periods, Forum of Math, Sigma 8(e44), 2020.
• Eisenstein series and the cubic moment for $\operatorname{PGL(2)}$, 2019.
• Analytic newvectors for $\operatorname{GL}_n(\mathbb{R})$ (with S. Jana), 2019.
• Quantum variance on quaternion algebras, III, 2019.
• The orbit method and analysis of automorphic forms (with A. Venkatesh), Acta Math., accepted for publication.
• Subconvex bounds on $\operatorname{GL}_3$ via degeneration to frequency zero (with R. Holowinsky) Math. Ann. 372(1-2):299--319, 2018.
• Some analytic aspects of automorphic forms on GL(2) of minimal type (with Y. Hu, A. Saha), Comm. Math. Helv. 94(4):767--801, 2019.
• Subconvex equidistribution of cusp forms: reduction to Eisenstein observables Duke Math. J. 168(9):1665--1722, 2019.
• Quantum variance on quaternion algebras, II, 2017.
• Microlocal lifts and quantum unique ergodicity on $\operatorname{GL}_2(\mathbb{Q}_p)$, Algebra & Number Theory 12(9):2033--2064, 2018.
• Quantum variance on quaternion algebras, I, 2016.
• The spectral decomposition of $|\theta|^2$, Math. Z., to appear.
• Analytic isolation of newforms of given level Arch. Math. 108(6):555-568, 2017.
• Variants of the Selberg sieve, and bounded intervals containing many primes (with D.H.J Polymath) Res. Math. Sci. 1:12, 2014.
• New equidistribution estimates of Zhang type, and bounded gaps between primes (with D.H.J Polymath) Algebra Number Theory 8(9):2067--2199, 2014.
• Evaluating modular forms on Shimura curves Math. Comp. 84(295):2471-2503, 2015.
• Bounds for Rankin--Selberg integrals and quantum unique ergodicity for powerful levels (with A. Pitale, A. Saha) J. Amer. Math. Soc. 27(1):147-191, 2014.
• Equidistribution of cusp forms in the level aspect Duke Math. J. 160(3):467--501, 2011.
• Mass equidistribution of Hilbert modular eigenforms The Ramanujan Journal 27(2):235-284, 2012.
• Stable averages of central values of Rankin-Selberg L-functions: some new variants J. Number Theory 133(8):2588–2615, 2010.