Publications

• Thin bases of order h, Journal of Number Theory 98 (2003), 34-46 (abstract)
• On cusp forms associated with binary theta series, Archiv der Mathematik 82 (2004), 140-146 (abstract)
• Binary quadratic forms with large discriminants and sums of two squareful integers, Crelle's Journal 569 (2004), 213-234 (abstract)
• Uniform bounds for Fourier coefficients of theta series with arithmetic applications, Acta Arithmetica 114, (2004), 1-21 (abstract)
• Shifted convolution sums and subconvexity bounds for automorphic L-functions, IMRN 2004, no. 73, 3905-3926 (abstract)
• Nonvanishing of class group L-functions at the central point, Annales de l'Institut Fourier 54 (2004), 831-847 (abstract)
• Binary quadratic forms with large discriminants and sums of two squareful integers II, J. London Math. Soc. 71 (2005), 69-84 (abstract)
• A three squares theorem with almost primes (with J. Brüdern), Bulletin of the London Mathematical Society 37 (2005), 507-513 (abstract)
• Rankin-Selberg L-functions on the critical line, manuscripta mathematica 117 (2005), 111-133 (abstract)
• Uniform bounds for the number of integers represented by systems of Abelian norm forms (with J.-C. Schlage-Puchta), Acta Arith. 123 (2006), 183-199 (abstract)
• Estimates for representation numbers of quadratic forms (with A. Granville), Duke Math. Journal 135 (2006), 261-302 (abstract)
• A Burgess-like subconvex bound for twisted L-functions (with appendix 2 by Z.Mao) (with G. Harcos and P. Michel), Forum Math. 19 (2007), 61-106 (abstract)
• Bounds for modular L-functions in the level aspect (with G.Harcos and P.Michel), Ann. Sci. Ecole Norm. Sup. 40 (2007), 697-740 (abstract)
• Prime paucity for sums of two squares (with J. Brüdern), Bull. Lond. Math. Soc. 40 (2008), 457-462 (abstract)
• Sums of Hecke eigenvalues over values of quadratic polynomials, IMRN 2008 art. ID rnn059, 29pp. (abstract, arxiv)
• Hybrid bounds for twisted L-functions (with G. Harcos), Crelle's Journal 621 (2008), 53-79 (abstract)
• Spectral decomposition of shifted convolution sums (with G. Harcos), Duke Math. J. 144 (2008), 321-339 (abstract, arxiv)
• The average value of divisor sums in arithmetic progressions, Quart. J. Math. 59 (2008), 275-286 (abstract)
• On the central value of symmetric square L-functions, Math. Z. 260 (2008), 755-777 (abstract)
• A quadric with arithmetic paucity (with J. Brüdern), Quart. J. Math. 60 (2009), 283-290 (abstract)
• Sums of smooth squares (with J. Brüdern and R. Dietmann), Compositio Math. 145 (2009), 1401-1441 (abstract)
• Bounding sup-norms of cusp forms of large level (with R. Holowinsky), Invent. Math. 179 (2010), 645-681 (abstract, arxiv)
• The number of integer points on Vinogradov's quadric (with J. Brüdern), Monatsh. Math. 160 (2010), 243-256 (abstract)
• Iterates of Vinogradov's quadric and prime paucity (with J. Brüdern), Michigan Math. J. 59 (2010), 231-240
• Twisted L-functions over number fields and Hilbert's eleventh problem (with G. Harcos), GAFA 20 (2010), 1-52 (arxiv)
• Subconvexity for a double Dirichlet series, Compositio Math. 147 (2011), 355-374 (arxiv)
• On the Ramanujan conjecture over number fields (with F. Brumley), Annals of Math. 174 (2011), 581-605 (arxiv)
• Sup-norms of eigenfunctions on arithmetic ellipsoids (with P. Michel), IMRN 2011 no.21 (2011), 4934-4966
• The density of points on a certain cubic threefold (with J. Brüdern), in: Contributions in analytic and algebraic number theory, V. Blomer, P. Mihăilescu (eds.), Springer Proceedings in Mathematics 9 (2012), 1-15
• Friable values of binary forms (with A. Balog, C. Dartyge, G. Tenenbaum), 20pp., to appear in Commentarii Math. Helv. (abstract)
• Subconvexity for twisted L-functions on GL(3), 25pp., to appear in Amer. J. Math.
• Non-vanishing of L-functions, the Ramanujan conjecture, and families of Hecke characters (with F. Brumley), 30pp., to appear in Canad. J. Math. (arxiv)
• A hybrid asymptotic formula for the second moment of Rankin-Selberg L-functions (with G. Harcos), 30pp., to appear in Proc. London Math. Soc. (arxiv)
• Period integrals and Rankin-Selberg L-functions on GL(n), 10pp., to appear in GAFA (arxiv)
• On the 4-norm of an automorphic form, 25pp., to appear in J. Eur. Math. Soc. (arxiv)

Preprints (submitted)

• Applications of the Kuznetsov formula on GL(3), 35pp.
• Hybrid bounds for automorphic forms on ellipsoids over number fields (with P. Michel), 20pp. (arxiv)
• L-functions with n-th order twists (with L. Goldmakher and B. Louvel), 20pp. (arxiv)

Survey Articles

• Ternary quadratic forms and sums of three squares with multiplicative restrictions, in: The Anatomy of Integers, J.-M. de Koninck, A. Granville, F. Luca (eds.), CRM proceedings and lecture notes 46 (2008), 1-17
• The theorem of Green-Tao Newsletter of the European Math. Soc. 67 (2008), 13-16
  German version: Mitteilungen DMV 15 (2007) 160-164
  Chinese version: Mathematical Advance in Translation 27 (2008), 203-207
• L-functions, automorphic forms and arithmetic (with G. Harcos), in: Symmetries in Algebra and Number Theory, R. Meyer, I. Kersten (eds.), Universitätsverlag Göttingen 2009, 11-26

Some (mostly typographical) corrections can be found here. I provide copies of these papers on request. The arxiv versions may differ from the published versions.

Last Update: May 2011