Research

 ·  Books:

·       (With A. Jafari, P. L. Kassaei, B. Noohi, K. Rafi, and Y. Tabesh), An Introduction to Mathematical Olympiads, Sharif University Press, 1997.

·       (With Steven J. Miller), An Invitation to Modern Number Theory , Princeton University Press, March 2006, xx+503 pp.

·       A Pythagorean Introduction to Number Theory: Right triangles, sums of squares, and arithmetic, Springer Undergraduate Texts in Mathematics, 2018. 

 ·  Editorial Work:

·       (With A. Akbary, J. Arthur, M. Asgari, J. Cogdell, D. Ramakrishnan) A special issue of the Bulletin of the Iranian Mathematical Society in the honor of the 70th birthday of Freydoon Shahidi, Vol 43 (2017), No. 4. 

·  Prehomogeneous vector spaces:

·       (With Eun-Hye Lee)  On Certain multiple Dirichlet series (pdf),   J. Number Theory 238 (2022), 535–556.

 ·       (With Eun-Hye Lee) A two variable zeta function associated to the space of binary forms of degree d (pdf), preprint, 10 page. 

·       (With Eun-Hye Lee) Automorphic form twisted Shintani zeta function (pdf), preprint 28 pages. 

·  Distribution of Rational and Integral Points:

·       (With Dylon Chow, Daniel Loughran, and Sho Tanimoto)  Campana points on wonderful compactifications, preprint (pdf). 

·       (With Arda Demirhan) Distribution of rational points on toric varieties: All the heights, Res. Math. Sci. 9 (2022), no. 4, Paper No. 66, 15 pp. (pdf)

·       (With Daniel Loughran and Sho Tanimoto) Zero-loci of Brauer group elements on semi-simple algebraic groups (pdf),  J. Inst. Math. Jussieu 19 (2020), no. 5, 1467–1507.  

·       (With Sho Tanimoto) Distribution of rational points of bounded height on equivariant compactifications of $\mathrm{PGL}_2$ I ( pdf ), Res. Number Theory 2 (2016), Paper No. 6, 35 pp. 

·       (With Alexander Gorodnik and Yuri Tschinkel) Multiple mixing for adele groups and ratinal points (pdf), European Journal of Mathematics, 1 (2015), no. 3, 441-461. 

·       (With Yuri Tschinkel) Integral points on compactifications of semi-simple groups ( pdf ), American Journal of Math 135 (2013), no. 5, 1433-1448.

·       Distribution of rational points: a survey ( pdf ), Bulletin of the Iranian Mathematical Society, 35 (2009), no. 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, Birkh_user 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.

·  Distribution of subrings and orders:

·       (With Sarthak Chimni) Subrings of $\mathbb Z[t]/(t^4)$ (pdf), 23 pages. 

·       (With Sarthak Chimni) Cotype zeta function for $\mathbb Z[t]/(t^3)$ (pdf), 12 pages. 

·       (With Sarthak Chimni and Gautam Chinta) Counting subrings of $\mathbb Z^n$ of non-zero co-rank (pdf),  J. Iran. Math. Soc. 1 (2020), no. 2, 163–172.

·       (With Nathan Kaplan and Jake Marcinek) Distribution of orders in number fields ( pdf ),  Res. Math. Sci. 2 (2015), Art. 6, 57 pp. 

·  Representation Theory and L-Functions:

·       (With Daniel File) On certain near equivalence classes of automorphic forms ( pdf ), Manuscripta Math, 140 (2013), no. 1-2, 263-272.

·       (With Dipendra Prasad) Bessel functionals for GSp(4) ( pdf ), Crelle's Journal, 655 (2011), 189-243. 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.

·  Miscellaneous:

·       (With Neelima Borade)  Minimal permutation representations for linear groups (pdf), submitted, 30 pages. 

·       (With Alice Medvedev) Multiplicative groups of fields and hereditarily irreducible polynomials ( pdf ),  J. Number Theory 168 (2016), 452–471. 

·       (With Alice Medvedev) Invitation to model-theoretic Galois theory ( pdf ), Bulletin of Symbolic Logic, 16 (2010), no. 2, 261-269.

·       (With Benjamin Elias and Lior Silberman) Finding minimal permutation representations of finite groups ( pdf ), Experimental Mathematics, 19 (2010), no. 1, 121-128.

·       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).

·  Other Writings:

· Review of the documentary "Secrets of the Surface: The Mathematical Vision of Maryam Mirzakhani", Bulletin of the Association for Women in Mathematics, September-October 2020, 14-16. 

·       Automorphic representations and L-functions for the general linear group. Volume I and II, by D. Goldfeld and J. Hundley, Book Review, Bulletin of the American Mathematical Society (N. S.) 50 (2013), no. 4, 645-654.

·       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 ).