T.D. Browning - research

55. Pairs of diagonal quadratic forms and linear correlations among sums of two squares (with R. Munshi)
54. Contre-exemples au principe de Hasse pour certains tores coflasques (with R. de la Bretèche)
53. Rational points on pencils of conics and quadrics with many degenerate fibres (with L. Matthiesen and A. Skorobogatov)
52. Cubic hypersurfaces and a version of the circle method for number fields (with P. Vishe)
51. Density of Châtelet surfaces failing the Hasse principle (with R. de la Bretèche)
50. Incomplete Kloosterman sums and multiplicative inverses in short intervals (with A. Haynes)
Int. J. Number Theory 9 (2013), 481-486.
49. Quadratic polynomials represented by norm forms (with D.R. Heath-Brown)
GAFA 22 (2012), 1124-1190.
48. Rational points on singular intersections of quadrics (with R. Munshi)

Compositio Math.

47. Sums of three squareful numbers (with K. Van Valckenborgh)
Experimental Mathematics 21 (2012), 204-211.
46. Inhomogeneous quadratic congruences (with S. Baier)
Functiones et Approximatio 47 (2012), 267-286.
45. Averages of shifted convolutions of d3(n) (with S. Baier, G. Marasingha and L. Zhao)
Proc. Edinburgh Math. Soc. 55 (2012), 551-576.
44. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces (with S. Baier)
Journal reine angew. Math., to appear.
43. Power-free values of polynomials
Arch. Math. 96 (2011), 139-150.
42. Binary forms as sums of two squares and Châtelet surfaces (with R. de la Bretèche)
Israel J. Math. 191 (2012), 973-1012.
41. The divisor problem for binary cubic forms
J. Théorie Nombres Bordeaux 23 (2011), 579-602.
40. The Lang-Weil estimate for cubic hypersurfaces
Canad. Math. Bull., to appear.
39. On Manin's conjecture for a family of Châtelet surfaces (with R. de la Bretèche and E. Peyre)
Annals of Math. 175 (2012), 297-343.
38. The number of representations of rationals as a sum of unit fractions (with C. Elsholtz)
Illinois J. Math. 55 (2011), 685-696.
37. Least zero of a cubic form (with R. Dietmann and P.D.T.A. Elliott)
Math. Annalen 352 (2011), 745-778.
36. Quantitative arithmetic of projective varieties
Progress in Math. 277, Birkhäuser, 2009.
35. Linear growth for Châtelet surfaces
Math. Annalen 346 (2010), 41-50.
34. Manin's conjecture for quartic del Pezzo surfaces with a conic fibration (with R. de la Bretèche)
Duke Math. J. 160 (2011), 1-69.
33. Le problème des diviseurs pour des formes binaires de degré 4 (with R. de la Bretèche)
Journal reine angew. Math. 646 (2010), 1-44.
32. Rational points on cubic hypersurfaces that split off a form
Compositio Math. 146 (2010), 853-885.
31. Manin's conjecture for a cubic surface with D_5 singularity (with U. Derenthal)
Int. Math. Res. Not. 14 (2009), 2620-2647.
30. Manin's conjecture for a quartic del Pezzo surface with A_4 singularity (with U. Derenthal)
Ann. Inst. Fourier 59 (2009), 1231-1265.
29. Recent progress on the quantitative arithmetic of del Pezzo surfaces
Proceedings of the 5th China-Japan Number Theory Conference (Osaka, 27-31 August 2008), World Scientific (2010), 1-19.
28. Solubility of Fermat equations (with R. Dietmann)
Quadratic forms - algebra, arithmetic and geometry, Contemporary Mathematics 493 (2009), 99-106.
27. Binary linear forms as sums of two squares (with R. de la Bretèche)
Compositio Math. 144 (2008), 1375-1402.
26. Rational points on quartic hypersurfaces (with D.R. Heath-Brown)
Journal reine angew. Math. 629 (2009), 37-88.
25. Integral points on cubic hypersurfaces (with D.R. Heath-Brown)
Analytic Number Theory: Essays in honour of Klaus Roth, CUP (2009), 75-90.
24. On the representation of integers by quadratic forms (with R. Dietmann)
Proc. London Math. Soc. 96 (2008), 389-416.
23a. Corrigendum for "Counting rational points on cubic hypersurfaces"
23. Counting rational points on cubic hypersurfaces
Mathematika 54 (2007), 93-112.
22. On Manin's conjecture for singular del Pezzo surfaces of degree four, II (with R. de la Bretèche)
Math. Proc. Camb. Phil. Soc. 143 (2007), 579-605.
21. An overview of Manin's conjecture for del Pezzo surfaces
Analytic number theory - A tribute to Gauss and Dirichlet (Goettingen, 20th June - 24th June, 2005), Clay Mathematics Proceedings 7 (2007), 39-56.
20. Density of integer solutions to diagonal quadratic forms.
Monatsh. Math. 152 (2007), 13-38.
19. On Manin's conjecture for a certain singular cubic surface (with R. de la Bretèche and U. Derenthal)
Ann. Sci. Ecole Norm. Sup. 40 (2007), 1-50.
18. Simultaneous equal sums of three powers (with D.R. Heath-Brown)
Proc. of the session on Diophantine geometry (Pisa, 1st April - 30th July, 2005), CRM series 4 (2007), 93-100.
17. On Manin's conjecture for singular del Pezzo surfaces of degree four, I (with R. de la Bretèche)
Michigan Math. J. 55 (2007), 51-80.
16. Sums of arithmetic functions over values of binary forms (with R. de la Bretèche)
Acta Arith. 125 (2006), 291-304.
15. The density of rational points on non-singular hypersurfaces, II (with D.R. Heath-Brown)
Proc. London Math. Soc. 93 (2006), 273-303.
14. The density of rational points on a certain singular cubic surface
J. Number Theory 119 (2006), 242-283.
13. The density of rational points on non-singular hypersurfaces, I (with D.R. Heath-Brown)
Bull. London Math. Soc. 38 (2006), 401-410.
12. Counting rational points on algebraic varieties (with D.R. Heath-Brown and P. Salberger)
Duke Math. J. 132 (2006), 545-578.
11. Equal sums of like polynomials
Bull. London Math. Soc. 37 (2005), 801-808.
10. Counting rational points on hypersurfaces (with D.R. Heath-Brown)
Journal reine angew. Math. 584 (2005), 83-115.
9. H. Davenport, Analytic methods for Diophantine equations and Diophantine inequalities
2nd ed., edited and prepared for publication by T.D. Browning. CUP, 2005.
8. Plane curves in boxes and equal sums of two powers (with D.R. Heath-Brown)
Math. Zeit. 251 (2005), 233-247.
7. Equal sums of three powers (with D.R. Heath-Brown)
Invent. Math. 157 (2004), 553-573.
6. Counting rational points on del Pezzo surfaces of degree five.
Session on analytic number theory and Diophantine equations, Bonn. Math. Schrift. 360 (2003).
5. Sums of four biquadrates
Math. Proc. Camb. Phil. Soc. 134 (2003), 385-395.
4. Counting rational points on cubic and quartic surfaces
Acta Arith. 108 (2003), 275-295.
3. A note on the distribution of rational points on threefolds
Quart. J. Math. 54 (2003), 33-39.
2. Counting rational points on diagonal quadratic surfaces
Quart. J. Math. 54 (2003), 11-31.
1. Equal sums of two kth powers
J. Number Theory 96 (2002), 293-318.

INDEX