- Beyond endoscopy for the relative trace formula I: local theory. To appear in the Conference proceedings of the International Colloquium at the Tata Institute in January, 2012, 59pp, arXiv:1207.5761.
- Periods and harmonic analysis on spherical varieties. (With Akshay Venkatesh.) Preprint, arXiv:1203.0039.
- Spherical varieties and integral representations of L-functions. Algebra & Number Theory, Vol. 6 (2012), No. 4, 611-667. (Important formula missing after example 4.5.1 in journal has been added to the first link.)
- Spherical functions on spherical varieties. To appear in the American Journal of Mathematics, 78pp, arXiv:0905.4244.
- On the unramified spectrum of spherical varieties over p-adic fields. Compositio Mathematica 144 (2008), no. 4, 978-1016.
- A Casselman-Shalika formula for the Shalika model of GLn. Canad. J. Math. 58 (2006), no. 5, 1095-1120.
- Plancherel formula, unfolding, regularized local periods and their nonvanishing. Notes from my talk at the 60th birthday conference of Patrick Delorme, 16 June 2012.