Timothy D Browning

Browning Group

99 Publications

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[99]
2023 | Published | Journal Article | IST-REx-ID: 8682 | OA
Browning, T. D., Boudec, P. L., & Sawin, W. (2023). The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2023.197.3.3
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[98]
2023 | Published | Journal Article | IST-REx-ID: 12916 | OA
Bonolis, D., & Browning, T. D. (2023). Uniform bounds for rational points on hyperelliptic fibrations. Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale. https://doi.org/10.2422/2036-2145.202010_018
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[97]
2023 | Published | Journal Article | IST-REx-ID: 13091 | OA
Browning, T. D., & Sawin, W. (2023). Free rational curves on low degree hypersurfaces and the circle method. Algebra and Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2023.17.719
[Published Version] View | Files available | DOI | WoS | arXiv
 
[96]
2023 | Published | Journal Article | IST-REx-ID: 13180 | OA
Browning, T. D., Lyczak, J., & Sarapin, R. (2023). Local solubility for a family of quadrics over a split quadric surface. Involve. Mathematical Sciences Publishers. https://doi.org/10.2140/involve.2023.16.331
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[95]
2022 | Published | Journal Article | IST-REx-ID: 12776 | OA
Browning, T. D. (2022). Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. State University of New York.
[Published Version] View | Files available
 
[94]
2022 | Published | Journal Article | IST-REx-ID: 9199 | OA
Browning, T. D., Horesh, T., & Wilsch, F. A. (2022). Equidistribution and freeness on Grassmannians. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2022.16.2385
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[93]
2021 | Published | Journal Article | IST-REx-ID: 8742 | OA
Browning, T. D., & Heath-Brown, R. (2021). The geometric sieve for quadrics. Forum Mathematicum. De Gruyter. https://doi.org/10.1515/forum-2020-0074
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[92]
2021 | Published | Journal Article | IST-REx-ID: 9260 | OA
Browning, T. D., & Yamagishi, S. (2021). Arithmetic of higher-dimensional orbifolds and a mixed Waring problem. Mathematische Zeitschrift. Springer Nature. https://doi.org/10.1007/s00209-021-02695-w
[Published Version] View | Files available | DOI | WoS
 
[91]
2021 | Published | Book | IST-REx-ID: 10415
Browning, T. D. (2021). Cubic Forms and the Circle Method (Vol. 343). Cham: Springer Nature. https://doi.org/10.1007/978-3-030-86872-7
View | DOI
 
[90]
2020 | Published | Journal Article | IST-REx-ID: 9007 | OA
Browning, T. D., & Sawin, W. (2020). Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. European Mathematical Society. https://doi.org/10.4171/CMH/499
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[89]
2020 | Published | Journal Article | IST-REx-ID: 177 | OA
Browning, T. D., & Sawin, W. (2020). A geometric version of the circle method. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2020.191.3.4
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[88]
2020 | Published | Journal Article | IST-REx-ID: 179 | OA
Browning, T. D., & Heath Brown, R. (2020). Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-2020-0031
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[87]
2019 | Published | Journal Article | IST-REx-ID: 6310 | OA
Browning, T. D., & Hu, L. Q. (2019). Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2019.04.031
[Submitted Version] View | Files available | DOI | WoS | arXiv
 
[86]
2019 | Published | Journal Article | IST-REx-ID: 170 | OA
Browning, T. D., & Sofos, E. (2019). Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-018-1716-6
[Published Version] View | Files available | DOI | arXiv
 
[85]
2019 | Published | Journal Article | IST-REx-ID: 175 | OA
Browning, T. D., & Loughran, D. (2019). Sieving rational points on varieties. Transactions of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/7514
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[84]
2018 | Published | Conference Paper | IST-REx-ID: 174
Browning, T. D. (2018). How often does the Hasse principle hold? (Vol. 97, pp. 89–102). Presented at the Algebraic Geometry, Salt Lake City, Utah, USA: American Mathematical Society. https://doi.org/10.1090/pspum/097.2/01700
View | DOI
 
[83]
2018 | Published | Journal Article | IST-REx-ID: 176 | OA
Browning, T. D., & Sofos, E. (2018). Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. World Scientific Publishing. https://doi.org/10.1142/S1793042119500283
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[82]
2018 | Published | Journal Article | IST-REx-ID: 178 | OA
Browning, T. D., & Heath-Brown, R. (2018). Counting rational points on quadric surfaces. Discrete Analysis. Alliance of Diamond Open Access Journals. https://doi.org/10.19086/da.4375
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[81]
2017 | Published | Journal Article | IST-REx-ID: 256 | OA
Browning, T. D., & Prendiville, S. (2017). Improvements in Birch’s theorem on forms in many variables. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crelle-2014-0122
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[80]
2017 | Published | Journal Article | IST-REx-ID: 265 | OA
Browning, T. D., & Vishe, P. (2017). Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2017.11.1657
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[79]
2017 | Published | Journal Article | IST-REx-ID: 266 | OA
Browning, T. D., & Heath Brown, R. (2017). Forms in many variables and differing degrees. Journal of the European Mathematical Society. European Mathematical Society Publishing House. https://doi.org/10.4171/JEMS/668
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[78]
2017 | Published | Journal Article | IST-REx-ID: 267 | OA
Browning, T. D. (2017). Many cubic surfaces contain rational points. Mathematika. Cambridge University Press. https://doi.org/10.1112/S0025579317000195
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[77]
2017 | Published | Journal Article | IST-REx-ID: 268 | OA
Browning, T. D., & Prendiville, S. (2017). A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnw096
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[76]
2017 | Published | Journal Article | IST-REx-ID: 269 | OA
Browning, T. D., & Loughran, D. (2017). Varieties with too many rational points. Mathematische Zeitschrift. Springer. https://doi.org/10.1007/s00209-016-1746-2
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[75]
2017 | Published | Journal Article | IST-REx-ID: 270 | OA
Browning, T. D., & Gorodnik, A. (2017). Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.12030
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[74]
2017 | Published | Journal Article | IST-REx-ID: 272 | OA
Browning, T. D., & Matthiesen, L. (2017). Norm forms for arbitrary number fields as products of linear polynomials. Annales Scientifiques de l’Ecole Normale Superieure. Societe Mathematique de France. https://doi.org/10.24033/asens.2348
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[73]
2017 | Published | Journal Article | IST-REx-ID: 169 | OA
Browning, T. D., Kumaraswamy, V., & Steiner, R. (2017). Twisted Linnik implies optimal covering exponent for S3. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnx116
View | DOI | Download None (ext.) | arXiv
 
[72]
2017 | Published | Journal Article | IST-REx-ID: 172 | OA
Browning, T. D., & Schindler, D. (2017). Strong approximation and a conjecture of Harpaz and Wittenberg. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnx252
View | DOI | Download None (ext.) | arXiv
 
[71]
2016 | Published | Journal Article | IST-REx-ID: 261
Browning, T. D., & Vinogradov, I. (2016). Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/jlms/jdw025
View | DOI
 
[70]
2016 | Published | Journal Article | IST-REx-ID: 262 | OA
Browning, T. D., & Newton, R. (2016). The proportion of failures of the Hasse norm principle. Mathematika. Cambridge University Press. https://doi.org/10.1112/S0025579315000261
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[69]
2016 | Published | Journal Article | IST-REx-ID: 263 | OA
De La Bretèche, R., Browning, T. D., & Salberger, P. (2016). Counting rational points on the Cayley ruled cubic. European Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s40879-015-0049-1
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[68]
2016 | Published | Journal Article | IST-REx-ID: 264 | OA
Bright, M., Browning, T. D., & Loughran, D. (2016). Failures of weak approximation in families. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X16007405
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[67]
2016 | Published | Journal Article | IST-REx-ID: 173 | OA
Browning, T. D., & Booker, A. (2016). Square-free values of reducible polynomials. Discrete Analysis. https://doi.org/10.19086/da.732
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[66]
2015 | Published | Journal Article | IST-REx-ID: 257 | OA
Browning, T. D., & Munshi, R. (2015). Pairs of diagonal quadratic forms and linear correlations among sums of two squares. Forum Mathematicum. Walter de Gruyter GmbH. https://doi.org/10.1515/forum-2013-6024
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[65]
2015 | Published | Book Chapter | IST-REx-ID: 258
Browning, T. D. (2015). A survey of applications of the circle method to rational points. In Arithmetic and Geometry (pp. 89–113). Cambridge University Press. https://doi.org/10.1017/CBO9781316106877.009
View | DOI
 
[64]
2015 | Published | Journal Article | IST-REx-ID: 259
Browning, T. D., & Vishe, P. (2015). Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. Birkhäuser. https://doi.org/10.1007/s00039-015-0328-5
View | DOI
 
[63]
2015 | Submitted | Journal Article | IST-REx-ID: 271 | OA
Browning, T. D., & Prendiville, S. (n.d.). Improvements in Birch’s theorem on forms in many variables. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crelle-2014-0122
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[62]
2014 | Published | Journal Article | IST-REx-ID: 248 | OA
Browning, T. D., Matthiesen, L., & Skorobogatov, A. (2014). Rational points on pencils of conics and quadrics with many degenerate fibres. Annals of Mathematics. John Hopkins University Press. https://doi.org/10.4007/annals.2014.180.1.8
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[61]
2014 | Published | Journal Article | IST-REx-ID: 249
Browning, T. D., & Vishe, P. (2014). Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-2738530
View | DOI
 
[60]
2014 | Published | Journal Article | IST-REx-ID: 252
Browning, T. D., & Jones, M. (2014). Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa163-3-6
View | DOI
 
[59]
2014 | Published | Journal Article | IST-REx-ID: 254
Browning, T. D. (2014). The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnt350
View | DOI
 
[58]
2014 | Published | Journal Article | IST-REx-ID: 255
Browning, T. D., Dietmann, R., & Heath Brown, R. (2014). Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. Cambridge University Press. https://doi.org/10.1017/S1474748014000127
View | Files available | DOI
 
[57]
2014 | Published | Journal Article | IST-REx-ID: 6319 | OA
Bretèche, R. de la, & Browning, T. D. (2014). Contre-exemples au principe de Hasse pour certains tores coflasques. Journal de Théorie Des Nombres de Bordeaux. Cellule MathDoc/CEDRAM. https://doi.org/10.5802/jtnb.857
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[56]
2013 | Published | Journal Article | IST-REx-ID: 246
Browning, T. D., & Munshi, R. (2013). Rational points on singular intersections of quadrics. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X13007185
View | DOI
 
[55]
2013 | Published | Journal Article | IST-REx-ID: 247
Browning, T. D. (2013). The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. Unknown. https://doi.org/10.4153/CMB-2011-177-4
View | DOI
 
[54]
2013 | Published | Journal Article | IST-REx-ID: 250 | OA
De La Bretèche, R., & Browning, T. D. (2013). Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. Oxford University Press. https://doi.org/10.1112/plms/pdt060
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[53]
2013 | Published | Journal Article | IST-REx-ID: 251
De La Bretèche, R., & Browning, T. D. (2013). Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie Des Nombres de Bordeaux. Universite de Bordeaux I. https://doi.org/10.5802/jtnb.857
View | DOI
 
[52]
2013 | Published | Journal Article | IST-REx-ID: 253
Browning, T. D. (2013). Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. Unknown. https://doi.org/10.1112/S0025579313000132
View | DOI
 
[51]
2013 | Published | Journal Article | IST-REx-ID: 245 | OA
Baier, S., & Browning, T. D. (2013). Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crelle.2012.039
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[50]
2012 | Published | Journal Article | IST-REx-ID: 171 | OA
Browning, T. D., & Baier, S. (2012). Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crelle.2012.039
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[49]
2012 | Published | Journal Article | IST-REx-ID: 237
De La Bretèche, R., Browning, T. D., & Peyre, E. (2012). On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.175.1.8
View | DOI
 
[48]
2012 | Published | Journal Article | IST-REx-ID: 238
Baier, S., & Browning, T. D. (2012). Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University Press. https://doi.org/10.7169/facm/2012.47.2.9
View | DOI
 
[47]
2012 | Published | Journal Article | IST-REx-ID: 240
Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful numbers. Experimental Mathematics. Taylor & Francis. https://doi.org/10.1080/10586458.2011.605733
View | DOI
 
[46]
2012 | Published | Journal Article | IST-REx-ID: 241
De La Bretèche, R., & Browning, T. D. (2012). Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. Springer. https://doi.org/10.1007/s11856-012-0019-y
View | DOI
 
[45]
2012 | Published | Journal Article | IST-REx-ID: 242 | OA
Baier, S., Browning, T. D., Marasingha, G., & Zhao, L. (2012). Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. Cambridge University Press. https://doi.org/10.1017/S001309151100037X
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[44]
2012 | Published | Journal Article | IST-REx-ID: 243
Browning, T. D., & Heath Brown, R. (2012). Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. Springer Basel. https://doi.org/10.1007/s00039-012-0168-5
View | DOI
 
[43]
2012 | Published | Journal Article | IST-REx-ID: 244 | OA
Browning, T. D., & Haynes, A. (2012). Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. World Scientific Publishing. https://doi.org/ https://doi.org/10.1142/S1793042112501448
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[42]
2011 | Published | Journal Article | IST-REx-ID: 233
Browning, T. D. (2011). Power-free values of polynomials. Archiv Der Mathematik. Birkhäuser. https://doi.org/10.1007/s00013-011-0224-7
View | DOI
 
[41]
2011 | Published | Journal Article | IST-REx-ID: 234
Browning, T. D. (2011). The divisor problem for binary cubic forms. Journal de Theorie Des Nombres de Bordeaux. Universite de Bordeaux. https://doi.org/10.5802/jtnb.778
View | DOI
 
[40]
2011 | Published | Journal Article | IST-REx-ID: 235
Browning, T. D., & Elsholtz, C. (2011). The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. University of Illinois Press.
View
 
[39]
2011 | Published | Journal Article | IST-REx-ID: 236
De La Bretèche, R., & Browning, T. D. (2011). Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-1443466
View | DOI
 
[38]
2011 | Published | Journal Article | IST-REx-ID: 239
Browning, T. D., Dietmann, R., & Elliott, P. (2011). Least zero of a cubic form. Mathematische Annalen. Springer. https://doi.org/10.1007/s00208-011-0651-6
View | DOI
 
[37]
2010 | Published | Journal Article | IST-REx-ID: 6320 | OA
Bretèche, R. de la, & Browning, T. D. (2010). Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal. Walter de Gruyter GmbH. https://doi.org/10.1515/crelle.2010.064
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2010 | Published | Journal Article | IST-REx-ID: 231
Browning, T. D., & Colliot Thélène, J. (2010). Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X0900459X
View | DOI
 
[35]
2010 | Published | Journal Article | IST-REx-ID: 232 | OA
De La Bretèche, R., & Browning, T. D. (2010). Le problème des diviseurs pour des formes binaires de degré 4. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/CRELLE.2010.064
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2009 | Published | Book Chapter | IST-REx-ID: 164 | OA
Browning, T. D., & Heath Brown, R. (2009). Integral points on cubic hypersurfaces. In Analytic Number Theory: Essays in honour of Klaus Roth (pp. 75–90). Cambridge University Press.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[33]
2009 | Published | Conference Paper | IST-REx-ID: 165
Browning, T. D. (2009). Resent progress on the quantitative arithmetic of del Pezzo surfaces. In T. Aoki, S. Kanemitsu, & J. Liu (Eds.) (Vol. 6, pp. 1–18). Presented at the Number Theory: Dreaming in dreams, World Scientific Publishing. https://doi.org/10.1142/9789814289924_0001
View | DOI
 
[32]
2009 | Published | Book Chapter | IST-REx-ID: 168
Browning, T. D., & Dietmann, R. (2009). Solubility of Fermat equations. In Quadratic Forms - algebra, arithmetic and geometry (Vol. 493, pp. 99–106). American Mathematical Society. http://dx.doi.org/10.1090/conm/493
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[31]
2009 | Published | Journal Article | IST-REx-ID: 226
Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier. https://doi.org/10.5802/aif.2462
View | DOI
 
[30]
2009 | Published | Book | IST-REx-ID: 227
Browning, T. D. (2009). Quantitative Arithmetic of Projective Varieties (Vol. 277). Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0129-0
View | DOI
 
[29]
2009 | Published | Journal Article | IST-REx-ID: 228 | OA
Browning, T. D., & Heath Brown, R. (2009). Rational points on quartic hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/CRELLE.2009.026
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[28]
2009 | Published | Journal Article | IST-REx-ID: 229 | OA
Browning, T. D. (2009). Linear growth for Châtelet surfaces. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-009-0383-z
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[27]
2009 | Published | Journal Article | IST-REx-ID: 230
Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a cubic surface with  D 5 singularity. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnp029
View | DOI
 
[26]
2008 | Published | Journal Article | IST-REx-ID: 224
Browning, T. D., & Dietmann, R. (2008). On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/plms/pdm032
View | DOI
 
[25]
2008 | Published | Journal Article | IST-REx-ID: 225
De La Bretèche, R., & Browning, T. D. (2008). Binary linear forms as sums of two squares. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X08003692
View | DOI
 
[24]
2007 | Submitted | Preprint | IST-REx-ID: 6321 | OA
Browning, T. D. (n.d.). The Manin conjecture in dimension 2. arXiv.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[23]
2007 | Published | Book Chapter | IST-REx-ID: 6323 | OA
Browning, T. D. (2007). An overview of Manin’s conjecture for del Pezzo surfaces. In A Tribute to Gauss and Dirichlet (Vol. 7, pp. 39–56). American Mathematical Society.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[22]
2007 | Published | Book Chapter | IST-REx-ID: 167 | OA
Browning, T. D., & Heath Brown, R. (2007). Simultaneous equal sums of three powers. In U. Zannier (Ed.), Diophantine Geometry (Vol. 4, pp. 93–100). Edizioni della Normale.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[21]
2007 | Published | Journal Article | IST-REx-ID: 219
De La Bretèche, R., Browning, T. D., & Derenthal, U. (2007). On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. Societe Mathematique de France. https://doi.org/10.1016/j.ansens.2006.12.002
View | DOI
 
[20]
2007 | Published | Journal Article | IST-REx-ID: 220
Browning, T. D. (2007). Counting rational points on cubic hypersurfaces. Mathematika. University College London. https://doi.org/10.1112/S0025579300000243
View | DOI
 
[19]
2007 | Published | Journal Article | IST-REx-ID: 221 | OA
De La Bretèche, R., & Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal. Project Euclid. https://doi.org/10.1307/mmj/1177681985
[Published Version] View | Files available | DOI | arXiv
 
[18]
2007 | Published | Journal Article | IST-REx-ID: 222 | OA
De La Bretèche, R., & Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, II. Mathematical Proceedings of the Cambridge Philosophical Society. Unknown. https://doi.org/10.1017/S0305004107000205
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[17]
2007 | Published | Journal Article | IST-REx-ID: 223 | OA
Browning, T. D. (2007). Density of integer solutions to diagonal quadratic forms. Monatshefte Fur Mathematik. Springer. https://doi.org/10.1007/s00605-007-0457-5
View | DOI | Download (ext.)
 
[16]
2006 | Published | Journal Article | IST-REx-ID: 213
Browning, T. D., Heath Brown, R., & Starr, J. (2006). The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024611506015784
View | DOI
 
[15]
2006 | Published | Journal Article | IST-REx-ID: 215
Browning, T. D., & Heath Brown, R. (2006). The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. Wiley-Blackwell. https://doi.org/10.1112/S0024609305018412
View | DOI
 
[14]
2006 | Published | Journal Article | IST-REx-ID: 216
Browning, T. D., Heath Brown, R., & Salberger, P. (2006). Counting rational points on algebraic varieties. Duke Mathematical Journal. Unknown. https://doi.org/10.1215/S0012-7094-06-13236-2
View | DOI
 
[13]
2006 | Published | Journal Article | IST-REx-ID: 218
De La Bretèche, R., & Browning, T. D. (2006). Sums of arithmetic functions over values of binary forms. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa125-3-6
View | DOI
 
[12]
2005 | Published | Book | IST-REx-ID: 210
Davenport, H., & Browning, T. D. (2005). Analytic Methods for Diophantine Equations and Diophantine Inequalities. Cambridge University Press. https://doi.org/10.1017/CBO9780511542893
View | DOI
 
[11]
2005 | Published | Journal Article | IST-REx-ID: 211
Browning, T. D. (2005). Equal sums of like polynomials. Bulletin of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024609305004741
View | DOI
 
[10]
2005 | Published | Journal Article | IST-REx-ID: 212 | OA
Browning, T. D., & Heath Brown, R. (2005). Counting rational points on hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter and Co . https://doi.org/10.1515/crll.2005.2005.584.83
View | DOI | Download (ext.)
 
[9]
2005 | Published | Journal Article | IST-REx-ID: 214 | OA
Browning, T. D., & Heath Brown, R. (2005). Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. Unknown. https://doi.org/10.1007/s00209-004-0719-z
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[8]
2005 | Published | Journal Article | IST-REx-ID: 217
Browning, T. D. (2005). The density of rational points on a certain singular cubic surface. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2005.11.007
View | DOI
 
[7]
2004 | Published | Journal Article | IST-REx-ID: 209
Browning, T. D., & Heath Brown, R. (2004). Equal sums of three powers. Inventiones Mathematicae. Unknown. https://doi.org/10.1007/s00222-004-0360-9
View | DOI
 
[6]
2003 | Published | Journal Article | IST-REx-ID: 166 | OA
Browning, T. D., & Swarbick Jones, M. (2003). Counting rational points on del Pezzo surfaces of degree 5. Proceedings of the Bonn Session in Analytic Number Theory and Diophantine Equations. Mathematisches Institut der Universität Bonn.
View | Download None (ext.) | arXiv
 
[5]
2003 | Published | Journal Article | IST-REx-ID: 205
Browning, T. D. (2003). Counting rational points on cubic and quartic surfaces. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa108-3-7
View | DOI
 
[4]
2003 | Published | Journal Article | IST-REx-ID: 206
Browning, T. D. (2003). A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics. Unknown. https://doi.org/10.1093/qjmath/54.1.33
View | DOI
 
[3]
2003 | Published | Journal Article | IST-REx-ID: 207
Browning, T. D. (2003). Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press. https://doi.org/10.1017/S0305004102006382
View | DOI
 
[2]
2003 | Published | Journal Article | IST-REx-ID: 208
Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qjmath/54.1.11
View | DOI
 
[1]
2002 | Published | Journal Article | IST-REx-ID: 204
Browning, T. D. (2002). Equal Sums of Two kth Powers. Journal of Number Theory. Academic Press. https://doi.org/10.1006/jnth.2002.2800
[Published Version] View | DOI
 
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3 Grants


Between rational and integral points

2018-09-02 – 2020-11-05
EPSRC

New frontiers of the Manin conjecture

2019-10-01 – 2022-09-30
FWF

Rational curves via function field analytic number theory

2022-12-01 – 2025-11-30
FWF

99 Publications

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[99]
2023 | Published | Journal Article | IST-REx-ID: 8682 | OA
Browning, T. D., Boudec, P. L., & Sawin, W. (2023). The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2023.197.3.3
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[98]
2023 | Published | Journal Article | IST-REx-ID: 12916 | OA
Bonolis, D., & Browning, T. D. (2023). Uniform bounds for rational points on hyperelliptic fibrations. Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale. https://doi.org/10.2422/2036-2145.202010_018
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[97]
2023 | Published | Journal Article | IST-REx-ID: 13091 | OA
Browning, T. D., & Sawin, W. (2023). Free rational curves on low degree hypersurfaces and the circle method. Algebra and Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2023.17.719
[Published Version] View | Files available | DOI | WoS | arXiv
 
[96]
2023 | Published | Journal Article | IST-REx-ID: 13180 | OA
Browning, T. D., Lyczak, J., & Sarapin, R. (2023). Local solubility for a family of quadrics over a split quadric surface. Involve. Mathematical Sciences Publishers. https://doi.org/10.2140/involve.2023.16.331
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[95]
2022 | Published | Journal Article | IST-REx-ID: 12776 | OA
Browning, T. D. (2022). Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. State University of New York.
[Published Version] View | Files available
 
[94]
2022 | Published | Journal Article | IST-REx-ID: 9199 | OA
Browning, T. D., Horesh, T., & Wilsch, F. A. (2022). Equidistribution and freeness on Grassmannians. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2022.16.2385
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[93]
2021 | Published | Journal Article | IST-REx-ID: 8742 | OA
Browning, T. D., & Heath-Brown, R. (2021). The geometric sieve for quadrics. Forum Mathematicum. De Gruyter. https://doi.org/10.1515/forum-2020-0074
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[92]
2021 | Published | Journal Article | IST-REx-ID: 9260 | OA
Browning, T. D., & Yamagishi, S. (2021). Arithmetic of higher-dimensional orbifolds and a mixed Waring problem. Mathematische Zeitschrift. Springer Nature. https://doi.org/10.1007/s00209-021-02695-w
[Published Version] View | Files available | DOI | WoS
 
[91]
2021 | Published | Book | IST-REx-ID: 10415
Browning, T. D. (2021). Cubic Forms and the Circle Method (Vol. 343). Cham: Springer Nature. https://doi.org/10.1007/978-3-030-86872-7
View | DOI
 
[90]
2020 | Published | Journal Article | IST-REx-ID: 9007 | OA
Browning, T. D., & Sawin, W. (2020). Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. European Mathematical Society. https://doi.org/10.4171/CMH/499
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[89]
2020 | Published | Journal Article | IST-REx-ID: 177 | OA
Browning, T. D., & Sawin, W. (2020). A geometric version of the circle method. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2020.191.3.4
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[88]
2020 | Published | Journal Article | IST-REx-ID: 179 | OA
Browning, T. D., & Heath Brown, R. (2020). Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-2020-0031
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[87]
2019 | Published | Journal Article | IST-REx-ID: 6310 | OA
Browning, T. D., & Hu, L. Q. (2019). Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2019.04.031
[Submitted Version] View | Files available | DOI | WoS | arXiv
 
[86]
2019 | Published | Journal Article | IST-REx-ID: 170 | OA
Browning, T. D., & Sofos, E. (2019). Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-018-1716-6
[Published Version] View | Files available | DOI | arXiv
 
[85]
2019 | Published | Journal Article | IST-REx-ID: 175 | OA
Browning, T. D., & Loughran, D. (2019). Sieving rational points on varieties. Transactions of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/7514
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[84]
2018 | Published | Conference Paper | IST-REx-ID: 174
Browning, T. D. (2018). How often does the Hasse principle hold? (Vol. 97, pp. 89–102). Presented at the Algebraic Geometry, Salt Lake City, Utah, USA: American Mathematical Society. https://doi.org/10.1090/pspum/097.2/01700
View | DOI
 
[83]
2018 | Published | Journal Article | IST-REx-ID: 176 | OA
Browning, T. D., & Sofos, E. (2018). Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. World Scientific Publishing. https://doi.org/10.1142/S1793042119500283
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[82]
2018 | Published | Journal Article | IST-REx-ID: 178 | OA
Browning, T. D., & Heath-Brown, R. (2018). Counting rational points on quadric surfaces. Discrete Analysis. Alliance of Diamond Open Access Journals. https://doi.org/10.19086/da.4375
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[81]
2017 | Published | Journal Article | IST-REx-ID: 256 | OA
Browning, T. D., & Prendiville, S. (2017). Improvements in Birch’s theorem on forms in many variables. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crelle-2014-0122
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[80]
2017 | Published | Journal Article | IST-REx-ID: 265 | OA
Browning, T. D., & Vishe, P. (2017). Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2017.11.1657
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[79]
2017 | Published | Journal Article | IST-REx-ID: 266 | OA
Browning, T. D., & Heath Brown, R. (2017). Forms in many variables and differing degrees. Journal of the European Mathematical Society. European Mathematical Society Publishing House. https://doi.org/10.4171/JEMS/668
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[78]
2017 | Published | Journal Article | IST-REx-ID: 267 | OA
Browning, T. D. (2017). Many cubic surfaces contain rational points. Mathematika. Cambridge University Press. https://doi.org/10.1112/S0025579317000195
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[77]
2017 | Published | Journal Article | IST-REx-ID: 268 | OA
Browning, T. D., & Prendiville, S. (2017). A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnw096
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[76]
2017 | Published | Journal Article | IST-REx-ID: 269 | OA
Browning, T. D., & Loughran, D. (2017). Varieties with too many rational points. Mathematische Zeitschrift. Springer. https://doi.org/10.1007/s00209-016-1746-2
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[75]
2017 | Published | Journal Article | IST-REx-ID: 270 | OA
Browning, T. D., & Gorodnik, A. (2017). Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.12030
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[74]
2017 | Published | Journal Article | IST-REx-ID: 272 | OA
Browning, T. D., & Matthiesen, L. (2017). Norm forms for arbitrary number fields as products of linear polynomials. Annales Scientifiques de l’Ecole Normale Superieure. Societe Mathematique de France. https://doi.org/10.24033/asens.2348
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[73]
2017 | Published | Journal Article | IST-REx-ID: 169 | OA
Browning, T. D., Kumaraswamy, V., & Steiner, R. (2017). Twisted Linnik implies optimal covering exponent for S3. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnx116
View | DOI | Download None (ext.) | arXiv
 
[72]
2017 | Published | Journal Article | IST-REx-ID: 172 | OA
Browning, T. D., & Schindler, D. (2017). Strong approximation and a conjecture of Harpaz and Wittenberg. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnx252
View | DOI | Download None (ext.) | arXiv
 
[71]
2016 | Published | Journal Article | IST-REx-ID: 261
Browning, T. D., & Vinogradov, I. (2016). Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/jlms/jdw025
View | DOI
 
[70]
2016 | Published | Journal Article | IST-REx-ID: 262 | OA
Browning, T. D., & Newton, R. (2016). The proportion of failures of the Hasse norm principle. Mathematika. Cambridge University Press. https://doi.org/10.1112/S0025579315000261
View | DOI | Download (ext.)
 
[69]
2016 | Published | Journal Article | IST-REx-ID: 263 | OA
De La Bretèche, R., Browning, T. D., & Salberger, P. (2016). Counting rational points on the Cayley ruled cubic. European Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s40879-015-0049-1
View | DOI | Download (ext.)
 
[68]
2016 | Published | Journal Article | IST-REx-ID: 264 | OA
Bright, M., Browning, T. D., & Loughran, D. (2016). Failures of weak approximation in families. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X16007405
View | DOI | Download (ext.)
 
[67]
2016 | Published | Journal Article | IST-REx-ID: 173 | OA
Browning, T. D., & Booker, A. (2016). Square-free values of reducible polynomials. Discrete Analysis. https://doi.org/10.19086/da.732
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[66]
2015 | Published | Journal Article | IST-REx-ID: 257 | OA
Browning, T. D., & Munshi, R. (2015). Pairs of diagonal quadratic forms and linear correlations among sums of two squares. Forum Mathematicum. Walter de Gruyter GmbH. https://doi.org/10.1515/forum-2013-6024
View | DOI | Download (ext.)
 
[65]
2015 | Published | Book Chapter | IST-REx-ID: 258
Browning, T. D. (2015). A survey of applications of the circle method to rational points. In Arithmetic and Geometry (pp. 89–113). Cambridge University Press. https://doi.org/10.1017/CBO9781316106877.009
View | DOI
 
[64]
2015 | Published | Journal Article | IST-REx-ID: 259
Browning, T. D., & Vishe, P. (2015). Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. Birkhäuser. https://doi.org/10.1007/s00039-015-0328-5
View | DOI
 
[63]
2015 | Submitted | Journal Article | IST-REx-ID: 271 | OA
Browning, T. D., & Prendiville, S. (n.d.). Improvements in Birch’s theorem on forms in many variables. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crelle-2014-0122
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[62]
2014 | Published | Journal Article | IST-REx-ID: 248 | OA
Browning, T. D., Matthiesen, L., & Skorobogatov, A. (2014). Rational points on pencils of conics and quadrics with many degenerate fibres. Annals of Mathematics. John Hopkins University Press. https://doi.org/10.4007/annals.2014.180.1.8
View | DOI | Download (ext.)
 
[61]
2014 | Published | Journal Article | IST-REx-ID: 249
Browning, T. D., & Vishe, P. (2014). Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-2738530
View | DOI
 
[60]
2014 | Published | Journal Article | IST-REx-ID: 252
Browning, T. D., & Jones, M. (2014). Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa163-3-6
View | DOI
 
[59]
2014 | Published | Journal Article | IST-REx-ID: 254
Browning, T. D. (2014). The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnt350
View | DOI
 
[58]
2014 | Published | Journal Article | IST-REx-ID: 255
Browning, T. D., Dietmann, R., & Heath Brown, R. (2014). Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. Cambridge University Press. https://doi.org/10.1017/S1474748014000127
View | Files available | DOI
 
[57]
2014 | Published | Journal Article | IST-REx-ID: 6319 | OA
Bretèche, R. de la, & Browning, T. D. (2014). Contre-exemples au principe de Hasse pour certains tores coflasques. Journal de Théorie Des Nombres de Bordeaux. Cellule MathDoc/CEDRAM. https://doi.org/10.5802/jtnb.857
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[56]
2013 | Published | Journal Article | IST-REx-ID: 246
Browning, T. D., & Munshi, R. (2013). Rational points on singular intersections of quadrics. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X13007185
View | DOI
 
[55]
2013 | Published | Journal Article | IST-REx-ID: 247
Browning, T. D. (2013). The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. Unknown. https://doi.org/10.4153/CMB-2011-177-4
View | DOI
 
[54]
2013 | Published | Journal Article | IST-REx-ID: 250 | OA
De La Bretèche, R., & Browning, T. D. (2013). Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. Oxford University Press. https://doi.org/10.1112/plms/pdt060
View | DOI | Download (ext.)
 
[53]
2013 | Published | Journal Article | IST-REx-ID: 251
De La Bretèche, R., & Browning, T. D. (2013). Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie Des Nombres de Bordeaux. Universite de Bordeaux I. https://doi.org/10.5802/jtnb.857
View | DOI
 
[52]
2013 | Published | Journal Article | IST-REx-ID: 253
Browning, T. D. (2013). Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. Unknown. https://doi.org/10.1112/S0025579313000132
View | DOI
 
[51]
2013 | Published | Journal Article | IST-REx-ID: 245 | OA
Baier, S., & Browning, T. D. (2013). Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crelle.2012.039
View | DOI | Download (ext.)
 
[50]
2012 | Published | Journal Article | IST-REx-ID: 171 | OA
Browning, T. D., & Baier, S. (2012). Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crelle.2012.039
View | DOI | Download (ext.)
 
[49]
2012 | Published | Journal Article | IST-REx-ID: 237
De La Bretèche, R., Browning, T. D., & Peyre, E. (2012). On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.175.1.8
View | DOI
 
[48]
2012 | Published | Journal Article | IST-REx-ID: 238
Baier, S., & Browning, T. D. (2012). Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University Press. https://doi.org/10.7169/facm/2012.47.2.9
View | DOI
 
[47]
2012 | Published | Journal Article | IST-REx-ID: 240
Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful numbers. Experimental Mathematics. Taylor & Francis. https://doi.org/10.1080/10586458.2011.605733
View | DOI
 
[46]
2012 | Published | Journal Article | IST-REx-ID: 241
De La Bretèche, R., & Browning, T. D. (2012). Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. Springer. https://doi.org/10.1007/s11856-012-0019-y
View | DOI
 
[45]
2012 | Published | Journal Article | IST-REx-ID: 242 | OA
Baier, S., Browning, T. D., Marasingha, G., & Zhao, L. (2012). Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. Cambridge University Press. https://doi.org/10.1017/S001309151100037X
View | DOI | Download (ext.)
 
[44]
2012 | Published | Journal Article | IST-REx-ID: 243
Browning, T. D., & Heath Brown, R. (2012). Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. Springer Basel. https://doi.org/10.1007/s00039-012-0168-5
View | DOI
 
[43]
2012 | Published | Journal Article | IST-REx-ID: 244 | OA
Browning, T. D., & Haynes, A. (2012). Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. World Scientific Publishing. https://doi.org/ https://doi.org/10.1142/S1793042112501448
View | DOI | Download (ext.)
 
[42]
2011 | Published | Journal Article | IST-REx-ID: 233
Browning, T. D. (2011). Power-free values of polynomials. Archiv Der Mathematik. Birkhäuser. https://doi.org/10.1007/s00013-011-0224-7
View | DOI
 
[41]
2011 | Published | Journal Article | IST-REx-ID: 234
Browning, T. D. (2011). The divisor problem for binary cubic forms. Journal de Theorie Des Nombres de Bordeaux. Universite de Bordeaux. https://doi.org/10.5802/jtnb.778
View | DOI
 
[40]
2011 | Published | Journal Article | IST-REx-ID: 235
Browning, T. D., & Elsholtz, C. (2011). The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. University of Illinois Press.
View
 
[39]
2011 | Published | Journal Article | IST-REx-ID: 236
De La Bretèche, R., & Browning, T. D. (2011). Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-1443466
View | DOI
 
[38]
2011 | Published | Journal Article | IST-REx-ID: 239
Browning, T. D., Dietmann, R., & Elliott, P. (2011). Least zero of a cubic form. Mathematische Annalen. Springer. https://doi.org/10.1007/s00208-011-0651-6
View | DOI
 
[37]
2010 | Published | Journal Article | IST-REx-ID: 6320 | OA
Bretèche, R. de la, & Browning, T. D. (2010). Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal. Walter de Gruyter GmbH. https://doi.org/10.1515/crelle.2010.064
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2010 | Published | Journal Article | IST-REx-ID: 231
Browning, T. D., & Colliot Thélène, J. (2010). Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X0900459X
View | DOI
 
[35]
2010 | Published | Journal Article | IST-REx-ID: 232 | OA
De La Bretèche, R., & Browning, T. D. (2010). Le problème des diviseurs pour des formes binaires de degré 4. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/CRELLE.2010.064
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2009 | Published | Book Chapter | IST-REx-ID: 164 | OA
Browning, T. D., & Heath Brown, R. (2009). Integral points on cubic hypersurfaces. In Analytic Number Theory: Essays in honour of Klaus Roth (pp. 75–90). Cambridge University Press.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[33]
2009 | Published | Conference Paper | IST-REx-ID: 165
Browning, T. D. (2009). Resent progress on the quantitative arithmetic of del Pezzo surfaces. In T. Aoki, S. Kanemitsu, & J. Liu (Eds.) (Vol. 6, pp. 1–18). Presented at the Number Theory: Dreaming in dreams, World Scientific Publishing. https://doi.org/10.1142/9789814289924_0001
View | DOI
 
[32]
2009 | Published | Book Chapter | IST-REx-ID: 168
Browning, T. D., & Dietmann, R. (2009). Solubility of Fermat equations. In Quadratic Forms - algebra, arithmetic and geometry (Vol. 493, pp. 99–106). American Mathematical Society. http://dx.doi.org/10.1090/conm/493
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[31]
2009 | Published | Journal Article | IST-REx-ID: 226
Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier. https://doi.org/10.5802/aif.2462
View | DOI
 
[30]
2009 | Published | Book | IST-REx-ID: 227
Browning, T. D. (2009). Quantitative Arithmetic of Projective Varieties (Vol. 277). Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0129-0
View | DOI
 
[29]
2009 | Published | Journal Article | IST-REx-ID: 228 | OA
Browning, T. D., & Heath Brown, R. (2009). Rational points on quartic hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/CRELLE.2009.026
View | DOI | Download (ext.)
 
[28]
2009 | Published | Journal Article | IST-REx-ID: 229 | OA
Browning, T. D. (2009). Linear growth for Châtelet surfaces. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-009-0383-z
View | DOI | Download (ext.)
 
[27]
2009 | Published | Journal Article | IST-REx-ID: 230
Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a cubic surface with  D 5 singularity. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnp029
View | DOI
 
[26]
2008 | Published | Journal Article | IST-REx-ID: 224
Browning, T. D., & Dietmann, R. (2008). On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/plms/pdm032
View | DOI
 
[25]
2008 | Published | Journal Article | IST-REx-ID: 225
De La Bretèche, R., & Browning, T. D. (2008). Binary linear forms as sums of two squares. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X08003692
View | DOI
 
[24]
2007 | Submitted | Preprint | IST-REx-ID: 6321 | OA
Browning, T. D. (n.d.). The Manin conjecture in dimension 2. arXiv.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[23]
2007 | Published | Book Chapter | IST-REx-ID: 6323 | OA
Browning, T. D. (2007). An overview of Manin’s conjecture for del Pezzo surfaces. In A Tribute to Gauss and Dirichlet (Vol. 7, pp. 39–56). American Mathematical Society.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[22]
2007 | Published | Book Chapter | IST-REx-ID: 167 | OA
Browning, T. D., & Heath Brown, R. (2007). Simultaneous equal sums of three powers. In U. Zannier (Ed.), Diophantine Geometry (Vol. 4, pp. 93–100). Edizioni della Normale.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[21]
2007 | Published | Journal Article | IST-REx-ID: 219
De La Bretèche, R., Browning, T. D., & Derenthal, U. (2007). On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. Societe Mathematique de France. https://doi.org/10.1016/j.ansens.2006.12.002
View | DOI
 
[20]
2007 | Published | Journal Article | IST-REx-ID: 220
Browning, T. D. (2007). Counting rational points on cubic hypersurfaces. Mathematika. University College London. https://doi.org/10.1112/S0025579300000243
View | DOI
 
[19]
2007 | Published | Journal Article | IST-REx-ID: 221 | OA
De La Bretèche, R., & Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal. Project Euclid. https://doi.org/10.1307/mmj/1177681985
[Published Version] View | Files available | DOI | arXiv
 
[18]
2007 | Published | Journal Article | IST-REx-ID: 222 | OA
De La Bretèche, R., & Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, II. Mathematical Proceedings of the Cambridge Philosophical Society. Unknown. https://doi.org/10.1017/S0305004107000205
View | DOI | Download (ext.)
 
[17]
2007 | Published | Journal Article | IST-REx-ID: 223 | OA
Browning, T. D. (2007). Density of integer solutions to diagonal quadratic forms. Monatshefte Fur Mathematik. Springer. https://doi.org/10.1007/s00605-007-0457-5
View | DOI | Download (ext.)
 
[16]
2006 | Published | Journal Article | IST-REx-ID: 213
Browning, T. D., Heath Brown, R., & Starr, J. (2006). The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024611506015784
View | DOI
 
[15]
2006 | Published | Journal Article | IST-REx-ID: 215
Browning, T. D., & Heath Brown, R. (2006). The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. Wiley-Blackwell. https://doi.org/10.1112/S0024609305018412
View | DOI
 
[14]
2006 | Published | Journal Article | IST-REx-ID: 216
Browning, T. D., Heath Brown, R., & Salberger, P. (2006). Counting rational points on algebraic varieties. Duke Mathematical Journal. Unknown. https://doi.org/10.1215/S0012-7094-06-13236-2
View | DOI
 
[13]
2006 | Published | Journal Article | IST-REx-ID: 218
De La Bretèche, R., & Browning, T. D. (2006). Sums of arithmetic functions over values of binary forms. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa125-3-6
View | DOI
 
[12]
2005 | Published | Book | IST-REx-ID: 210
Davenport, H., & Browning, T. D. (2005). Analytic Methods for Diophantine Equations and Diophantine Inequalities. Cambridge University Press. https://doi.org/10.1017/CBO9780511542893
View | DOI
 
[11]
2005 | Published | Journal Article | IST-REx-ID: 211
Browning, T. D. (2005). Equal sums of like polynomials. Bulletin of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024609305004741
View | DOI
 
[10]
2005 | Published | Journal Article | IST-REx-ID: 212 | OA
Browning, T. D., & Heath Brown, R. (2005). Counting rational points on hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter and Co . https://doi.org/10.1515/crll.2005.2005.584.83
View | DOI | Download (ext.)
 
[9]
2005 | Published | Journal Article | IST-REx-ID: 214 | OA
Browning, T. D., & Heath Brown, R. (2005). Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. Unknown. https://doi.org/10.1007/s00209-004-0719-z
View | DOI | Download (ext.)
 
[8]
2005 | Published | Journal Article | IST-REx-ID: 217
Browning, T. D. (2005). The density of rational points on a certain singular cubic surface. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2005.11.007
View | DOI
 
[7]
2004 | Published | Journal Article | IST-REx-ID: 209
Browning, T. D., & Heath Brown, R. (2004). Equal sums of three powers. Inventiones Mathematicae. Unknown. https://doi.org/10.1007/s00222-004-0360-9
View | DOI
 
[6]
2003 | Published | Journal Article | IST-REx-ID: 166 | OA
Browning, T. D., & Swarbick Jones, M. (2003). Counting rational points on del Pezzo surfaces of degree 5. Proceedings of the Bonn Session in Analytic Number Theory and Diophantine Equations. Mathematisches Institut der Universität Bonn.
View | Download None (ext.) | arXiv
 
[5]
2003 | Published | Journal Article | IST-REx-ID: 205
Browning, T. D. (2003). Counting rational points on cubic and quartic surfaces. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa108-3-7
View | DOI
 
[4]
2003 | Published | Journal Article | IST-REx-ID: 206
Browning, T. D. (2003). A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics. Unknown. https://doi.org/10.1093/qjmath/54.1.33
View | DOI
 
[3]
2003 | Published | Journal Article | IST-REx-ID: 207
Browning, T. D. (2003). Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press. https://doi.org/10.1017/S0305004102006382
View | DOI
 
[2]
2003 | Published | Journal Article | IST-REx-ID: 208
Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qjmath/54.1.11
View | DOI
 
[1]
2002 | Published | Journal Article | IST-REx-ID: 204
Browning, T. D. (2002). Equal Sums of Two kth Powers. Journal of Number Theory. Academic Press. https://doi.org/10.1006/jnth.2002.2800
[Published Version] View | DOI
 
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