My research interests: My main interests are in the study of special values of L-functions (and their derivatives) and related themes such as Shimura varieties, automorphic forms, periods, theta functions and Iwasawa theory.

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1. Integrality of a ratio of Petersson norms and level-lowering congruences , Ann. of Math., (2), 163 (2006), no. 3, 901-967.
   
   
2. Arithmetic properties of the theta correspondence and periods of modular forms , Eisenstein series and Applications, Progress in Math. 258, Birkhauser, 2008, 251-269.
   
   
3. Arithmetic properties of the Shimura-Shintani-Waldspurger correspondence (with an appendix by Brian Conrad) , Invent. Math. 176, p. 521-600 (2009).
   
   
4. On p-adic properties of central values of quadratic twists of an elliptic curve , Canad. J. Math., to appear.
   
   
5. On the Fourier coefficients of modular forms of half-integral weight , Forum Math., to appear.
   
   
6. Generalised Heegner cycles and p-adic Rankin L-series (joint with M. Bertolini and H. Darmon) , submitted.