Mass of Frobenius functional on small balls, ArXiv2408.10793.

Periods and global invariant, Journal of Number Theory, 243 (2023), 117–159 (with J. Bernstein).

Lattice points counting and bounds on periods, Transactions of AMS,  372, no.3, 2073--2102 (2019) (with F. Su).

Limiting cycles and periods of Maass forms,  Representations of Reductive Groups, AMS Proceedings of Symposia in Pure Mathematics, vol. 101, 351--360 (2019).

Nodal domains of Hecke--Maass forms II, American Math. J., 139, 1395--1447 (2017) (with A. Ghosh and  P. Sarnak).

Estimates of triple products of automorphic functions II, J. of Number Theory, vol. 161, 457--533 (2016) (with J. Hoffstein and T. Hulse).

A uniform bound for the geodesic period, Forum Mathematicum, vol. 27, 1569--1590 (2015).

Nodal domains of Maass forms I, GAFA, vol. 23, no. 5 , 1515--1568 (2013), arXiv.org:1207.6625

(with A. Ghosh and P. Sarnak).

Torus periods for GL(2) and Dirichlet series,

J. of Number Theory, vol. 133, no. 1, 328--342 (2013).

Geodesic restrictions for the Casimir operator

J. of Functional Analysis, vol. 261, no. 9, 2437--2460 (2011).

Subconvexity of triple L-functions

(with J. Bernstein), Annals of Math. 172, 1679--1718 (2010).

Rankin-Selberg without unfolding

Journal of AMS, 21, no. 2, 439--477 (2008).

Periods, subconvexity and representation theory   

(with J. Bernstein) ,  J. of Diff. Geometry v. 70 (1), 129--142 (2005).

Geodesic restrictions and representation theory

preprint, arXiv:math/0403437 (2004).

Microlocalization of eigenfunctions and trilinear functionals

preprint, arXiv:math/0404294 (2004).

Estimates of automorphic functions

(with J. Bernstein)  Moscow Math. J. 4 (2004), no. 1, 19--37.

Sobolev norms of automorphic functionals

(with J. Bernstein) Internat. Math. Res. Notes (IMRN), 2002:40, 2155--2174 (2002).

Laplace-Beltrami operator and equdistribution of measures

Commun. Math Phys. 222, 249--267 (2001).

Non-vanishing of periods

Forum Math. 13/4, 485--493 (2001).

Analytic continuation of representations

(with J. Bernstein) Annals of Math. 150, 329--352 (1999).

Sobolev norms and Fourier coefficients of cusp forms

(with J. Bernstein) C.R. Acad. Sci. Paris,327, 111--116 (1998).