On the critical values of the standard L-function for GSp(4) and the symmetric fourth power L-function for GL(2) (with A. Pitale and R. Schmidt) in preparation.
On ratios of Petersson norms for Yoshida lifts preprint.
A relation between multiplicity one and Böcherer's conjecture submitted.
Research papers - published or accepted
Bounds for Rankin-Selberg integrals and quantum unique ergodicity for powerful levels (with P. Nelson and A. Pitale) Journal of the American Mathematical Society, to appear.
Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular
L-functions (with R. Schmidt) Journal of the London Mathematical Society, to appear.
Transfer of Siegel cusp forms of degree 2 (with A. Pitale and R. Schmidt) Memoirs of the American Mathematical Society, to appear.
Determination of modular forms by fundamental Fourier coefficients Proceedings of the International Colloquium on
Automorphic Representations and L-Functions, TIFR (2013), to appear.
Siegel cusp forms of degree 2 are determined by their fundamental
Fourier coefficients Mathematische Annalen (2013), 355(1):363--380.
Local
spectral equidistribution for Siegel modular forms and applications (with E. Kowalski and J. Tsimerman) Compositio Mathematica (2012), 148(2):335--384.
Prime density results for Hecke eigenvalues of a Siegel cusp form International Journal of Number Theory (2011), 7(4):971--979.
A note on Fourier coefficients of Poincaré series (with E. Kowalski and J. Tsimerman) Mathematika (2011), 57(1):31--40.
Pullbacks of Eisenstein series from GU(3,3) and critical L-values for GSp(4) × GL(2) Pacific Journal of Mathematics (2010), 246(2):435--486.
L-functions for holomorphic forms on GSp(4) × GL(2) and their special values International Mathematics Research Notices (2009), 2009(10):1773--1837. Download an unedited version which gives more computational details:
Hilbert modular forms of weight 1/2 and theta functions (with S. Achimescu) Journal of Number Theory (2008), 128(12):3037--3062.
Ph.D. Thesis
On critical values of L-functions for holomorphic forms on GSp(4) × GL(2) California Institute of Technology,Dissertation (149 pages), 2009.
Other articles
Sums of powers of the primitive roots of a prime Resonance, 7(2):86--89, 2002.