Publications and Research

• Distribution of rational points: a survey ( pdf ), Bulletin of the Iranian Mathematical Society, 35 (1), 1-30.

• (With J. A. Shalika and Yu. Tschinkel), Distribution of rational points on compactifications of semi-simple groups ( pdf ), J. Amer. Math. Soc. 20 (2007), 1135-1186.

• Bounds for spherical functions and arithmetic applications ( pdf ), in Eisenstein Series and Applications (Ed. W. T. Gan, S. S. Kudla, and Yu. Tschinkel), Progress in Math., vol 258 (2007), 295-314.

• (With Joseph Shalika and Yuri Tschinkel), Distribution of rational points on compactifications of groups of rank 1 ( pdf ), in Arithmetic of higher-dimensional algebraic varieties (Palo Alto, CA, 2002), 205--233, Progr. Math., 226, Birkhäuser Boston, Boston, MA, 2004.

• (With Joe Shalika and Yuri Tschinkel), Rational Points and Automorphic Forms ( pdf ), Contributions to automorphic forms, geometry, and number theory, 733--742, Johns Hopkins Univ. Press, Baltimore, MD, 2004.

Representation Theory and L-Functions:

• (With Atsushi Ichino and Dipendra Prasad) Bessel periods of automorphic forms , preprint.

• (With Daniel File) On certain near equivalence classes of automorphic forms , preprint.

• (With Dipendra Prasad) Bessel functionals for GSp(4) ( pdf ), preprint (46 pages, to appear in Crelle). See here for background and motivation.

• The spinor L-function ( pdf ), Algebraic groups, 121--155, Universitatsverlag Gottingen, Gottingen, 2007.

• Spinor L-functions, theta correspondence, and Bessel coefficients ( pdf ) with an appendix by Philippe Michel ( pdf ), Forum Math. 19 (2007), no. 3, 487-554.

• Some results on L-functions for the similitude symplectic group of order four GSp(4) ( pdf ), in Siavash Shahshahani's Sixtieth 105- 122(ed. K. Lajevardi, P. Safari, and Y. Tabesh), May 2002.

• L-functions for the p-adic group GSp(4) ( pdf ), American Journal of Mathematics, 122 (2000), no. 6, 1085-1120.

Mischellaneous:

• (With Alice Medvedev) Invitation to model-theoretic Galois theory ( pdf ), to appear in the Bulletin of Symbolic Logic.

• (With Benjamin Elias and Lior Silberman) Finding minimal permutation representations of finite groups ( pdf ), to appear in Experimental Mathematics.

• A remark on a recent paper of Ahlgren, Brendt, Yee, and Zaharescu ( pdf ), Int. J. Number Theory 2 (2006), no. 1, 111--114.

• (With Dominic Lanphier), On the Rankin-Cohen bracket of eigenforms ( pdf ), J. Ramanujan Math. Soc., 19 (2004), no. 4, 253-259.

Course Notes:

• Points of bounded height on algebraic varieties ( pdf ) (Unpublished course notes; 38 pages).

• Automorphic L-functions : Steven J. Miller's notes , Florin Spinu's notes
  Please note that these notes are not complete; they have not been revised; and are heavily based on a course given by Sol Friedberg at Brown in Spring 2002
  which was in turn partly based on Bump's grey book. Other references are a number of Jacquet's papers, JPSS's works, and Cogdell's notes from Trieste and Park City.

Other Writings:

• On research and writing papers (in Farsi), Farhang va Andisheye Riyazi (Mathematics Culture and Thought), Tehran, Iran 2007.

• The importance of research in math education (in Farsi), editorial note, Nashriyeye Riyaziyat (Mathematics Magazine), Tehran, Iran 2007 ( 1 ), ( 2 ).