D. Bonolis, T. D. Browning, and Z. Huang, “Density of rational points on some quadric bundle threefolds,” Mathematische Annalen. Springer Nature, 2024.
LibreCat: https://research-explorer.ista.ac.at/record/15337
DOI: 10.1007/s00208-024-02854-4
arXiv: 2204.09322

T. D. Browning, L. B. Pierce, and D. Schindler, “Generalised quadratic forms over totally real number fields,” Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2024.
LibreCat: https://research-explorer.ista.ac.at/record/15338
DOI: 10.1017/S1474748024000161
arXiv: 2212.11038

T. D. Browning and I. E. Shparlinski, “Square-free values of random polynomials,” Journal of Number Theory, vol. 261. Elsevier, pp. 220–240, 2024.
LibreCat: https://research-explorer.ista.ac.at/record/15312
DOI: 10.1016/j.jnt.2024.02.013
arXiv: 2305.15493

T. D. Browning, J. Lyczak, and R. Sarapin, “Local solubility for a family of quadrics over a split quadric surface,” Involve, vol. 16, no. 2. Mathematical Sciences Publishers, pp. 331–342, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/13180
DOI: 10.2140/involve.2023.16.331
arXiv: 2203.06881

T. D. Browning and W. Sawin, “Free rational curves on low degree hypersurfaces and the circle method,” Algebra and Number Theory, vol. 17, no. 3. Mathematical Sciences Publishers, pp. 719–748, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/13091
DOI: 10.2140/ant.2023.17.719
WoS: 000996014700004
arXiv: 1810.06882

T. D. Browning, P. L. Boudec, and W. Sawin, “The Hasse principle for random Fano hypersurfaces,” Annals of Mathematics, vol. 197, no. 3. Princeton University, pp. 1115–1203, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/8682
DOI: 10.4007/annals.2023.197.3.3
WoS: 000966611000003
arXiv: 2006.02356

D. Bonolis and T. D. Browning, “Uniform bounds for rational points on hyperelliptic fibrations,” Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, vol. 24, no. 1. Scuola Normale Superiore - Edizioni della Normale, pp. 173–204, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/12916
DOI: 10.2422/2036-2145.202010_018
arXiv: 2007.14182

T. D. Browning, T. Horesh, and F. A. Wilsch, “Equidistribution and freeness on Grassmannians,” Algebra &; Number Theory, vol. 16, no. 10. Mathematical Sciences Publishers, pp. 2385–2407, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/9199
DOI: 10.2140/ant.2022.16.2385
WoS: 000961514100004
arXiv: 2102.11552

T. D. Browning, “Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5,” New York Journal of Mathematics, vol. 28. State University of New York, pp. 1193–1229, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/12776

T. D. Browning, Cubic Forms and the Circle Method, vol. 343. Cham: Springer Nature, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/10415
DOI: 10.1007/978-3-030-86872-7

T. D. Browning and S. Yamagishi, “Arithmetic of higher-dimensional orbifolds and a mixed Waring problem,” Mathematische Zeitschrift, vol. 299. Springer Nature, pp. 1071–1101, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9260
DOI: 10.1007/s00209-021-02695-w
WoS: 000625573800002

T. D. Browning and R. Heath-Brown, “The geometric sieve for quadrics,” Forum Mathematicum, vol. 33, no. 1. De Gruyter, pp. 147–165, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/8742
DOI: 10.1515/forum-2020-0074
WoS: 000604750900008
arXiv: 2003.09593

T. D. Browning and W. Sawin, “A geometric version of the circle method,” Annals of Mathematics, vol. 191, no. 3. Princeton University, pp. 893–948, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/177
DOI: 10.4007/annals.2020.191.3.4
WoS: 000526986300004
arXiv: 1711.10451

T. D. Browning and W. Sawin, “Free rational points on smooth hypersurfaces,” Commentarii Mathematici Helvetici, vol. 95, no. 4. European Mathematical Society, pp. 635–659, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/9007
DOI: 10.4171/CMH/499
WoS: 000596833300001
arXiv: 1906.08463

T. D. Browning and R. Heath Brown, “Density of rational points on a quadric bundle in 3×3,” Duke Mathematical Journal, vol. 169, no. 16. Duke University Press, pp. 3099–3165, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/179
DOI: 10.1215/00127094-2020-0031
WoS: 000582676300002
arXiv: 1805.10715

T. D. Browning and E. Sofos, “Counting rational points on quartic del Pezzo surfaces with a rational conic,” Mathematische Annalen, vol. 373, no. 3–4. Springer Nature, pp. 977–1016, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/170
DOI: 10.1007/s00208-018-1716-6
arXiv: 1609.09057

T. D. Browning and D. Loughran, “Sieving rational points on varieties,” Transactions of the American Mathematical Society, vol. 371, no. 8. American Mathematical Society, pp. 5757–5785, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/175
DOI: 10.1090/tran/7514
WoS: 000464034200019
arXiv: 1705.01999

T. D. Browning and L. Q. Hu, “Counting rational points on biquadratic hypersurfaces,” Advances in Mathematics, vol. 349. Elsevier, pp. 920–940, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6310
DOI: 10.1016/j.aim.2019.04.031
WoS: 000468857300025
arXiv: 1810.08426

T. D. Browning, “How often does the Hasse principle hold?,” presented at the Algebraic Geometry, Salt Lake City, Utah, USA, 2018, vol. 97, no. 2, pp. 89–102.
LibreCat: https://research-explorer.ista.ac.at/record/174
DOI: 10.1090/pspum/097.2/01700

T. D. Browning and E. Sofos, “Averages of arithmetic functions over principal ideals,” International Journal of Nuber Theory, vol. 15, no. 3. World Scientific Publishing, pp. 547–567, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/176
DOI: 10.1142/S1793042119500283
arXiv: 1706.04331

T. D. Browning and R. Heath-Brown, “Counting rational points on quadric surfaces,” Discrete Analysis, vol. 15. Alliance of Diamond Open Access Journals, pp. 1–29, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/178
DOI: 10.19086/da.4375
arXiv: 1801.00979

T. D. Browning, V. Kumaraswamy, and R. Steiner, “Twisted Linnik implies optimal covering exponent for ,” International Mathematics Research Notices. Oxford University Press, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/169
DOI: 10.1093/imrn/rnx116
arXiv: 1609.06097

T. D. Browning and D. Schindler, “Strong approximation and a conjecture of Harpaz and Wittenberg,” International Mathematics Research Notices. Oxford University Press, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/172
DOI: 10.1093/imrn/rnx252
arXiv: 1509.07744

T. D. Browning and P. Vishe, “Rational curves on smooth hypersurfaces of low degree,” Geometric Methods in Algebra and Number Theory, vol. 11, no. 7.  Mathematical Sciences Publishers, pp. 1657–1675, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/265
DOI: 10.2140/ant.2017.11.1657
arXiv: 1611.00553

T. D. Browning and R. Heath Brown, “Forms in many variables and differing degrees,” Journal of the European Mathematical Society, vol. 19, no. 2. European Mathematical Society Publishing House, pp. 357–394, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/266
DOI: 10.4171/JEMS/668
arXiv: 1403.5937

T. D. Browning and A. Gorodnik, “Power-free values of polynomials on symmetric varieties,” Proceedings of the London Mathematical Society, vol. 114, no. 6. Wiley, pp. 1044–1080, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/270
DOI: 10.1112/plms.12030
arXiv: 1606.06342

T. D. Browning and S. Prendiville, “A transference approach to a Roth-type theorem in the squares,” International Mathematics Research Notices, vol. 2017, no. 7. Oxford University Press, pp. 2219–2248, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/268
DOI: 10.1093/imrn/rnw096
arXiv: 1510.00136

T. D. Browning and L. Matthiesen, “Norm forms for arbitrary number fields as products of linear polynomials,” Annales Scientifiques de l’Ecole Normale Superieure, vol. 50, no. 6. Societe Mathematique de France, pp. 1383–1446, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/272
DOI: 10.24033/asens.2348

T. D. Browning and S. Prendiville, “Improvements in Birch’s theorem on forms in many variables,” Journal fur die Reine und Angewandte Mathematik, vol. 2017, no. 731. Walter de Gruyter, p. 122, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/256
DOI: 10.1515/crelle-2014-0122
arXiv: 1402.4489

T. D. Browning, “Many cubic surfaces contain rational points,” Mathematika, vol. 63, no. 3. Cambridge University Press, pp. 818–839, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/267
DOI: 10.1112/S0025579317000195
arXiv: 1701.00525

T. D. Browning and D. Loughran, “Varieties with too many rational points,” Mathematische Zeitschrift, vol. 285, no. 3–4. Springer, pp. 1249–1267, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/269
DOI: 10.1007/s00209-016-1746-2
arXiv: 1311.5755

T. D. Browning and A. Booker, “Square-free values of reducible polynomials,” Discrete Analysis, vol. 8. pp. 1–18, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/173
DOI: 10.19086/da.732
arXiv: 1511.00601

T. D. Browning and I. Vinogradov, “Effective ratner theorem for SL (2, R) "c9 and gaps in an modulo 1,” Journal of the London Mathematical Society, vol. 94, no. 1. John Wiley and Sons Ltd, pp. 61–84, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/261
DOI: 10.1112/jlms/jdw025

T. D. Browning and R. Newton, “The proportion of failures of the Hasse norm principle,” Mathematika, vol. 62, no. 2. Cambridge University Press, pp. 337–347, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/262
DOI: 10.1112/S0025579315000261

R. De La Bretèche, T. D. Browning, and P. Salberger, “Counting rational points on the Cayley ruled cubic,” European Journal of Mathematics, vol. 2, no. 1. Springer Nature, pp. 55–72, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/263
DOI: 10.1007/s40879-015-0049-1

M. Bright, T. D. Browning, and D. Loughran, “Failures of weak approximation in families,” Compositio Mathematica, vol. 152, no. 7. Cambridge University Press, pp. 1435–1475, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/264
DOI: 10.1112/S0010437X16007405

T. D. Browning and R. Munshi, “Pairs of diagonal quadratic forms and linear correlations among sums of two squares,” Forum Mathematicum, vol. 27, no. 4. Walter de Gruyter GmbH, pp. 2025–2050, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/257
DOI: 10.1515/forum-2013-6024

T. D. Browning, “A survey of applications of the circle method to rational points,” in Arithmetic and Geometry, Cambridge University Press, 2015, pp. 89–113.
LibreCat: https://research-explorer.ista.ac.at/record/258
DOI: 10.1017/CBO9781316106877.009

T. D. Browning and P. Vishe, “Rational points on cubic hypersurfaces over F_q(t) ,” Geometric and Functional Analysis, vol. 25, no. 3. Birkhäuser, pp. 671–732, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/259
DOI: 10.1007/s00039-015-0328-5

T. D. Browning and S. Prendiville, “Improvements in Birch’s theorem on forms in many variables,” Journal fur die Reine und Angewandte Mathematik, vol. 2017, no. 731. Walter de Gruyter, pp. 203–234.
LibreCat: https://research-explorer.ista.ac.at/record/271
DOI: 10.1515/crelle-2014-0122
arXiv: 1402.4489

T. D. Browning, L. Matthiesen, and A. Skorobogatov, “Rational points on pencils of conics and quadrics with many degenerate fibres,” Annals of Mathematics, vol. 180, no. 1. John Hopkins University Press, pp. 381–402, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/248
DOI: https://doi.org/10.4007/annals.2014.180.1.8

T. D. Browning and P. Vishe, “Cubic hypersurfaces and a version of the circle method for number fields,” Duke Mathematical Journal, vol. 163, no. 10. Duke University Press, pp. 1825–1883, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/249
DOI: 10.1215/00127094-2738530

T. D. Browning and M. Jones, “Counting rational points on del Pezzo surfaces with a conic bundle structure,” Acta Arithmetica, vol. 163, no. 3. Instytut Matematyczny, pp. 271–298, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/252
DOI: 10.4064/aa163-3-6

T. D. Browning, “The polynomial sieve and equal sums of like polynomials,” International Mathematics Research Notices, vol. 2015, no. 7. Oxford University Press, pp. 1987–2019, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/254
DOI: 10.1093/imrn/rnt350

T. D. Browning, R. Dietmann, and R. Heath Brown, “Rational points on intersections of cubic and quadric hypersurfaces,” Journal of the Institute of Mathematics of Jussieu, vol. 14, no. 4. Cambridge University Press, pp. 703–749, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/255
DOI: 10.1017/S1474748014000127

R. de la Bretèche and T. D. Browning, “Contre-exemples au principe de Hasse pour certains tores coflasques,” Journal de Théorie des Nombres de Bordeaux, vol. 26, no. 1. Cellule MathDoc/CEDRAM, pp. 25–44, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/6319
DOI: 10.5802/jtnb.857
arXiv: 1210.4236

S. Baier and T. D. Browning, “Inhomogeneous cubic congruences and rational points on del Pezzo surfaces,” Journal fur die Reine und Angewandte Mathematik, no. 680. Walter de Gruyter, pp. 69–151, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/245
DOI: 10.1515/crelle.2012.039

T. D. Browning and R. Munshi, “Rational points on singular intersections of quadrics,” Compositio Mathematica, vol. 149, no. 9. Cambridge University Press, pp. 1457–1494, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/246
DOI: 10.1112/S0010437X13007185

T. D. Browning, “The Lang-Weil estimate for cubic hypersurfaces,” Canadian Mathematical Bulletin, vol. 56, no. 3. Unknown, pp. 500–502, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/247
DOI: 10.4153/CMB-2011-177-4

R. De La Bretèche and T. D. Browning, “Density of Châtelet surfaces failing the Hasse principle,” Proceedings of the London Mathematical Society, vol. 108, no. 4. Oxford University Press, pp. 1030–1078, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/250
DOI: 10.1112/plms/pdt060

R. De La Bretèche and T. D. Browning, “Counter examples to the Hasse principle among certain coflasque tori,” Journal de Theorie des Nombres de Bordeaux, vol. 26, no. 1. Universite de Bordeaux I, pp. 25–44, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/251
DOI: 10.5802/jtnb.857

T. D. Browning, “Counting rational points on cubic hypersurfaces: Corrigendum,” Mathematika, vol. 60, no. 1. Unknown, pp. 101–107, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/253
DOI: 10.1112/S0025579313000132

T. D. Browning and S. Baier, “Inhomogeneous cubic congruences and rational points on del Pezzo surfaces,” Journal fur die Reine und Angewandte Mathematik, vol. 2013, no. 680. Walter de Gruyter, pp. 1–65, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/171
DOI: https://doi.org/10.1515/crelle.2012.039

R. De La Bretèche, T. D. Browning, and E. Peyre, “On Manin’s conjecture for a family of Châtelet surfaces,” Annals of Mathematics, vol. 175, no. 1. Princeton University Press, pp. 297–343, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/237
DOI: 10.4007/annals.2012.175.1.8

S. Baier and T. D. Browning, “Inhomogeneous quadratic congruences,” Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2. Adam Mickiewicz University Press, pp. 267–286, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/238
DOI: 10.7169/facm/2012.47.2.9

T. D. Browning and K. V. Valckenborgh, “Sums of three squareful numbers,” Experimental Mathematics, vol. 21, no. 2. Taylor &; Francis, pp. 204–211, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/240
DOI: 10.1080/10586458.2011.605733

R. De La Bretèche and T. D. Browning, “Binary forms as sums of two squares and Châtelet surfaces,” Israel Journal of Mathematics, vol. 191, no. 2. Springer, pp. 973–1012, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/241
DOI: 10.1007/s11856-012-0019-y

S. Baier, T. D. Browning, G. Marasingha, and L. Zhao, “Averages of shifted convolutions of d3 (n),” Proceedings of the Edinburgh Mathematical Society, vol. 55, no. 3. Cambridge University Press, pp. 551–576, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/242
DOI: 10.1017/S001309151100037X

T. D. Browning and R. Heath Brown, “Quadratic polynomials represented by norm forms,” Geometric and Functional Analysis, vol. 22, no. 5. Springer Basel, pp. 1124–1190, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/243
DOI: 10.1007/s00039-012-0168-5

T. D. Browning and A. Haynes, “Incomplete kloosterman sums and multiplicative inverses in short intervals,” International Journal of Number Theory, vol. 9, no. 2. World Scientific Publishing, pp. 481–486, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/244
DOI:  https://doi.org/10.1142/S1793042112501448

T. D. Browning, “Power-free values of polynomials,” Archiv der Mathematik, vol. 96, no. 2. Birkhäuser, pp. 139–150, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/233
DOI: 10.1007/s00013-011-0224-7

T. D. Browning, “The divisor problem for binary cubic forms,” Journal de Theorie des Nombres de Bordeaux, vol. 23, no. 3. Universite de Bordeaux, pp. 579–602, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/234
DOI: 10.5802/jtnb.778

T. D. Browning and C. Elsholtz, “The number of representations of rationals as a sum of unit fractions,” Illinois Journal of Mathematics, vol. 55, no. 2. University of Illinois Press, pp. 685–696, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/235

R. De La Bretèche and T. D. Browning, “Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration,” Duke Mathematical Journal, vol. 160, no. 1. Duke University Press, pp. 1–69, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/236
DOI: 10.1215/00127094-1443466

T. D. Browning, R. Dietmann, and P. Elliott, “Least zero of a cubic form,” Mathematische Annalen, vol. 352, no. 3. Springer, pp. 745–778, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/239
DOI: 10.1007/s00208-011-0651-6

T. D. Browning and J. Colliot Thélène, “Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène,” Compositio Mathematica, vol. 146, no. 4. Cambridge University Press, pp. 853–885, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/231
DOI: 10.1112/S0010437X0900459X

R. De La Bretèche and T. D. Browning, “Le problème des diviseurs pour des formes binaires de degré 4,” Journal fur die Reine und Angewandte Mathematik, no. 646. Walter de Gruyter, pp. 1–44, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/232
DOI: 10.1515/CRELLE.2010.064
arXiv: 0808.2340

R. de la Bretèche and T. D. Browning, “Le problème des diviseurs pour des formes binaires de degré 4,” Crelles Journal, vol. 2010, no. 646. Walter de Gruyter GmbH, pp. 1–44, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/6320
DOI: 10.1515/crelle.2010.064
arXiv: 0808.2340v2

T. D. Browning and R. Heath Brown, “Integral points on cubic hypersurfaces,” in Analytic Number Theory: Essays in honour of Klaus Roth, Cambridge University Press, 2009, pp. 75–90.
LibreCat: https://research-explorer.ista.ac.at/record/164
arXiv: 0611086

T. D. Browning, “Resent progress on the quantitative arithmetic of del Pezzo surfaces,” presented at the Number Theory: Dreaming in dreams, 2009, vol. 6, pp. 1–18.
LibreCat: https://research-explorer.ista.ac.at/record/165
DOI: https://doi.org/10.1142/9789814289924_0001

T. D. Browning and R. Dietmann, “Solubility of Fermat equations,” in Quadratic Forms - algebra, arithmetic and geometry, vol. 493, American Mathematical Society, 2009, pp. 99–106.
LibreCat: https://research-explorer.ista.ac.at/record/168
DOI: http://dx.doi.org/10.1090/conm/493

T. D. Browning and U. Derenthal, “Manin’s conjecture for a quartic del Pezzo surface with  singularity,” Annales de l’Institut Fourier, vol. 59, no. 3. Association des Annales de l’Institut Fourier, pp. 1231–1265, 2009.
LibreCat: https://research-explorer.ista.ac.at/record/226
DOI: 10.5802/aif.2462

T. D. Browning, Quantitative Arithmetic of Projective Varieties, vol. 277. Birkhäuser Basel, 2009.
LibreCat: https://research-explorer.ista.ac.at/record/227
DOI: 10.1007/978-3-0346-0129-0

T. D. Browning and R. Heath Brown, “Rational points on quartic hypersurfaces,” Journal fur die Reine und Angewandte Mathematik, no. 629. Walter de Gruyter, pp. 37–88, 2009.
LibreCat: https://research-explorer.ista.ac.at/record/228
DOI: 10.1515/CRELLE.2009.026

T. D. Browning, “Linear growth for Châtelet surfaces,” Mathematische Annalen, vol. 346, no. 1. Springer Nature, pp. 41–50, 2009.
LibreCat: https://research-explorer.ista.ac.at/record/229
DOI: 10.1007/s00208-009-0383-z

T. D. Browning and U. Derenthal, “Manin’s conjecture for a cubic surface with  D 5 singularity,” International Mathematics Research Notices, vol. 2009, no. 14. Oxford University Press, pp. 2620–2647, 2009.
LibreCat: https://research-explorer.ista.ac.at/record/230
DOI: 10.1093/imrn/rnp029

T. D. Browning and R. Dietmann, “On the representation of integers by quadratic forms,” Proceedings of the London Mathematical Society, vol. 96, no. 2. John Wiley and Sons Ltd, pp. 389–416, 2008.
LibreCat: https://research-explorer.ista.ac.at/record/224
DOI: 10.1112/plms/pdm032

R. De La Bretèche and T. D. Browning, “Binary linear forms as sums of two squares,” Compositio Mathematica, vol. 144, no. 6. Cambridge University Press, pp. 1375–1402, 2008.
LibreCat: https://research-explorer.ista.ac.at/record/225
DOI: 10.1112/S0010437X08003692

T. D. Browning and R. Heath Brown, “Simultaneous equal sums of three powers,” in Diophantine Geometry, vol. 4, U. Zannier, Ed. Edizioni della Normale, 2007, pp. 93–100.
LibreCat: https://research-explorer.ista.ac.at/record/167
arXiv: 0509152

R. De La Bretèche, T. D. Browning, and U. Derenthal, “On Manin’s conjecture for a certain singular cubic surface,” Annales Scientifiques de l’Ecole Normale Superieure, vol. 40, no. 1. Societe Mathematique de France, pp. 1–50, 2007.
LibreCat: https://research-explorer.ista.ac.at/record/219
DOI: 10.1016/j.ansens.2006.12.002

T. D. Browning, “Counting rational points on cubic hypersurfaces,” Mathematika, vol. 54, no. 1–2. University College London, pp. 93–112, 2007.
LibreCat: https://research-explorer.ista.ac.at/record/220
DOI: 10.1112/S0025579300000243

R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular del Pezzo surfaces of degree four, I,” Michigan Mathematical Journal, vol. 55, no. 1. Project Euclid, pp. 51–80, 2007.
LibreCat: https://research-explorer.ista.ac.at/record/221
DOI: 10.1307/mmj/1177681985
arXiv: math/0412086

R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular del Pezzo surfaces of degree four, II,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 143, no. 3. Unknown, pp. 579–605, 2007.
LibreCat: https://research-explorer.ista.ac.at/record/222
DOI: 10.1017/S0305004107000205

T. D. Browning, “Density of integer solutions to diagonal quadratic forms,” Monatshefte fur Mathematik, vol. 152, no. 1. Springer, pp. 13–38, 2007.
LibreCat: https://research-explorer.ista.ac.at/record/223
DOI: 10.1007/s00605-007-0457-5

T. D. Browning, “An overview of Manin’s conjecture for del Pezzo surfaces,” in A Tribute to Gauss and Dirichlet, vol. 7, American Mathematical Society, 2007, pp. 39–56.
LibreCat: https://research-explorer.ista.ac.at/record/6323
arXiv: 0511041v2

T. D. Browning, “The Manin conjecture in dimension 2,” arXiv. .
LibreCat: https://research-explorer.ista.ac.at/record/6321
arXiv: 0704.1217

T. D. Browning, R. Heath Brown, and J. Starr, “The density of rational points on non-singular hypersurfaces, II,” Proceedings of the London Mathematical Society, vol. 93, no. 2. John Wiley and Sons Ltd, pp. 273–303, 2006.
LibreCat: https://research-explorer.ista.ac.at/record/213
DOI: https://doi.org/10.1112/S0024611506015784

T. D. Browning and R. Heath Brown, “The density of rational points on non-singular hypersurfaces, I,” Bulletin of the London Mathematical Society, vol. 38, no. 3. Wiley-Blackwell, pp. 401–410, 2006.
LibreCat: https://research-explorer.ista.ac.at/record/215
DOI: 10.1112/S0024609305018412

T. D. Browning, R. Heath Brown, and P. Salberger, “Counting rational points on algebraic varieties,” Duke Mathematical Journal, vol. 132, no. 3. Unknown, pp. 545–578, 2006.
LibreCat: https://research-explorer.ista.ac.at/record/216
DOI: 10.1215/S0012-7094-06-13236-2

R. De La Bretèche and T. D. Browning, “Sums of arithmetic functions over values of binary forms,” Acta Arithmetica, vol. 125, no. 3. Instytut Matematyczny, pp. 291–304, 2006.
LibreCat: https://research-explorer.ista.ac.at/record/218
DOI: 10.4064/aa125-3-6

H. Davenport and T. D. Browning, Analytic Methods for Diophantine Equations and Diophantine Inequalities. Cambridge University Press, 2005.
LibreCat: https://research-explorer.ista.ac.at/record/210
DOI: 10.1017/CBO9780511542893

T. D. Browning, “Equal sums of like polynomials,” Bulletin of the London Mathematical Society, vol. 37, no. 6. John Wiley and Sons Ltd, pp. 801–808, 2005.
LibreCat: https://research-explorer.ista.ac.at/record/211
DOI: 10.1112/S0024609305004741

T. D. Browning and R. Heath Brown, “Counting rational points on hypersurfaces,” Journal fur die Reine und Angewandte Mathematik, no. 584. Walter de Gruyter and Co , pp. 83–115, 2005.
LibreCat: https://research-explorer.ista.ac.at/record/212
DOI: https://doi.org/10.1515/crll.2005.2005.584.83

T. D. Browning and R. Heath Brown, “Plane curves in boxes and equal sums of two powers,” Mathematische Zeitschrift, vol. 251, no. 2. Unknown, pp. 233–247, 2005.
LibreCat: https://research-explorer.ista.ac.at/record/214
DOI: 10.1007/s00209-004-0719-z

T. D. Browning, “The density of rational points on a certain singular cubic surface,” Journal of Number Theory, vol. 119, no. 2. Elsevier, pp. 242–283, 2005.
LibreCat: https://research-explorer.ista.ac.at/record/217
DOI: 10.1016/j.jnt.2005.11.007

T. D. Browning and R. Heath Brown, “Equal sums of three powers,” Inventiones Mathematicae, vol. 157, no. 3. Unknown, pp. 553–573, 2004.
LibreCat: https://research-explorer.ista.ac.at/record/209
DOI: 10.1007/s00222-004-0360-9

T. D. Browning and M. Swarbick Jones, “Counting rational points on del Pezzo surfaces of degree 5,” Proceedings of the Bonn session in analytic number theory and diophantine equations, vol. 360. Mathematisches Institut der Universität Bonn, 2003.
LibreCat: https://research-explorer.ista.ac.at/record/166
arXiv: 1311.1665

T. D. Browning, “Counting rational points on cubic and quartic surfaces,” Acta Arithmetica, vol. 108, no. 3. Instytut Matematyczny, pp. 275–295, 2003.
LibreCat: https://research-explorer.ista.ac.at/record/205
DOI: 10.4064/aa108-3-7

T. D. Browning, “A note on the distribution of rational points on threefolds,” Quarterly Journal of Mathematics, vol. 54, no. 1. Unknown, pp. 33–39, 2003.
LibreCat: https://research-explorer.ista.ac.at/record/206
DOI: 10.1093/qjmath/54.1.33

T. D. Browning, “Sums of four biquadrates,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 134, no. 3. Cambridge University Press, pp. 385–395, 2003.
LibreCat: https://research-explorer.ista.ac.at/record/207
DOI: 10.1017/S0305004102006382