Browning, Timothy D., et al. “Local Solubility for a Family of Quadrics over a Split Quadric Surface.”10.2140/involve.2023.16.331__Involve, vol. 16, no. 2, Mathematical Sciences Publishers, 2023, pp. 331–42, doi:10.2140/involve.2023.16.331.

Browning, Timothy D., and Will Sawin. “Free Rational Curves on Low Degree Hypersurfaces and the Circle Method.”10.2140/ant.2023.17.719__Algebra and Number Theory, vol. 17, no. 3, Mathematical Sciences Publishers, 2023, pp. 719–48, doi:10.2140/ant.2023.17.719.

Browning, Timothy D., et al. “The Hasse Principle for Random Fano Hypersurfaces.”10.4007/annals.2023.197.3.3__Annals of Mathematics, vol. 197, no. 3, Princeton University, 2023, pp. 1115–203, doi:10.4007/annals.2023.197.3.3.

Bonolis, Dante, and Timothy D. Browning. “Uniform Bounds for Rational Points on Hyperelliptic Fibrations.”10.2422/2036-2145.202010_018__Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze, vol. 24, no. 1, Scuola Normale Superiore - Edizioni della Normale, 2023, pp. 173–204, doi:10.2422/2036-2145.202010_018.

Browning, Timothy D., et al. “Equidistribution and Freeness on Grassmannians.”10.2140/ant.2022.16.2385__Algebra &; Number Theory, vol. 16, no. 10, Mathematical Sciences Publishers, 2022, pp. 2385–407, doi:10.2140/ant.2022.16.2385.

Browning, Timothy D. “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, 2022, pp. 1193–229.

Browning, Timothy D. Cubic Forms and the Circle Method. Vol. 343, Springer Nature, 2021, doi:10.1007/978-3-030-86872-7.

Browning, Timothy D., and Shuntaro Yamagishi. “Arithmetic of Higher-Dimensional Orbifolds and a Mixed Waring Problem.”10.1007/s00209-021-02695-w__Mathematische Zeitschrift, vol. 299, Springer Nature, 2021, pp. 1071–1101, doi:10.1007/s00209-021-02695-w.

Browning, Timothy D., and Roger Heath-Brown. “The Geometric Sieve for Quadrics.”10.1515/forum-2020-0074__Forum Mathematicum, vol. 33, no. 1, De Gruyter, 2021, pp. 147–65, doi:10.1515/forum-2020-0074.

Browning, Timothy D., and Will Sawin. “A Geometric Version of the Circle Method.”10.4007/annals.2020.191.3.4__Annals of Mathematics, vol. 191, no. 3, Princeton University, 2020, pp. 893–948, doi:10.4007/annals.2020.191.3.4.

Browning, Timothy D., and Will Sawin. “Free Rational Points on Smooth Hypersurfaces.”10.4171/CMH/499__Commentarii Mathematici Helvetici, vol. 95, no. 4, European Mathematical Society, 2020, pp. 635–59, doi:10.4171/CMH/499.

Browning, Timothy D., and Roger Heath Brown. “Density of Rational Points on a Quadric Bundle in 3×3.”10.1215/00127094-2020-0031__Duke Mathematical Journal, vol. 169, no. 16, Duke University Press, 2020, pp. 3099–165, doi:10.1215/00127094-2020-0031.

Browning, Timothy D., and Efthymios Sofos. “Counting Rational Points on Quartic Del Pezzo Surfaces with a Rational Conic.”10.1007/s00208-018-1716-6__Mathematische Annalen, vol. 373, no. 3–4, Springer Nature, 2019, pp. 977–1016, doi:10.1007/s00208-018-1716-6.

Browning, Timothy D., and Daniel Loughran. “Sieving Rational Points on Varieties.”10.1090/tran/7514__Transactions of the American Mathematical Society, vol. 371, no. 8, American Mathematical Society, 2019, pp. 5757–85, doi:10.1090/tran/7514.

Browning, Timothy D., and L. Q. Hu. “Counting Rational Points on Biquadratic Hypersurfaces.”10.1016/j.aim.2019.04.031__Advances in Mathematics, vol. 349, Elsevier, 2019, pp. 920–40, doi:10.1016/j.aim.2019.04.031.

Browning, Timothy D. How Often Does the Hasse Principle Hold? Vol. 97, no. 2, American Mathematical Society, 2018, pp. 89–102, doi:10.1090/pspum/097.2/01700.

Browning, Timothy D., and Efthymios Sofos. “Averages of Arithmetic Functions over Principal Ideals.”10.1142/S1793042119500283__International Journal of Nuber Theory, vol. 15, no. 3, World Scientific Publishing, 2018, pp. 547–67, doi:10.1142/S1793042119500283.

Browning, Timothy D., and Roger Heath-Brown. “Counting Rational Points on Quadric Surfaces.”10.19086/da.4375__Discrete Analysis, vol. 15, Alliance of Diamond Open Access Journals, 2018, pp. 1–29, doi:10.19086/da.4375.

Browning, Timothy D., et al. “Twisted Linnik Implies Optimal Covering Exponent for .”10.1093/imrn/rnx116__International Mathematics Research Notices, Oxford University Press, 2017, doi:10.1093/imrn/rnx116.

Browning, Timothy D., and Damaris Schindler. “Strong Approximation and a Conjecture of Harpaz and Wittenberg.”10.1093/imrn/rnx252__International Mathematics Research Notices, Oxford University Press, 2017, doi:10.1093/imrn/rnx252.

Browning, Timothy D., and Pankaj Vishe. “Rational Curves on Smooth Hypersurfaces of Low Degree.”10.2140/ant.2017.11.1657__Geometric Methods in Algebra and Number Theory, vol. 11, no. 7,10.2140/ant.2017.11.1657__Mathematical Sciences Publishers, 2017, pp. 1657–75, doi:10.2140/ant.2017.11.1657.

Browning, Timothy D., and Roger Heath Brown. “Forms in Many Variables and Differing Degrees.”10.4171/JEMS/668__Journal of the European Mathematical Society, vol. 19, no. 2, European Mathematical Society Publishing House, 2017, pp. 357–94, doi:10.4171/JEMS/668.

Browning, Timothy D., and Alexander Gorodnik. “Power-Free Values of Polynomials on Symmetric Varieties.”10.1112/plms.12030__Proceedings of the London Mathematical Society, vol. 114, no. 6, Wiley, 2017, pp. 1044–80, doi:10.1112/plms.12030.

Browning, Timothy D., and Sean Prendiville. “A Transference Approach to a Roth-Type Theorem in the Squares.”10.1093/imrn/rnw096__International Mathematics Research Notices, vol. 2017, no. 7, Oxford University Press, 2017, pp. 2219–48, doi:10.1093/imrn/rnw096.

Browning, Timothy D., and Lilian Matthiesen. “Norm Forms for Arbitrary Number Fields as Products of Linear Polynomials.”10.24033/asens.2348__Annales Scientifiques de l’Ecole Normale Superieure, vol. 50, no. 6, Societe Mathematique de France, 2017, pp. 1383–446, doi:10.24033/asens.2348.

Browning, Timothy D., and Sean Prendiville. “Improvements in Birch’s Theorem on Forms in Many Variables.”10.1515/crelle-2014-0122__Journal Fur Die Reine Und Angewandte Mathematik, vol. 2017, no. 731, Walter de Gruyter, 2017, p. 122, doi:10.1515/crelle-2014-0122.

Browning, Timothy D. “Many Cubic Surfaces Contain Rational Points.”10.1112/S0025579317000195__Mathematika, vol. 63, no. 3, Cambridge University Press, 2017, pp. 818–39, doi:10.1112/S0025579317000195.

Browning, Timothy D., and Daniel Loughran. “Varieties with Too Many Rational Points.”10.1007/s00209-016-1746-2__Mathematische Zeitschrift, vol. 285, no. 3–4, Springer, 2017, pp. 1249–67, doi:10.1007/s00209-016-1746-2.

Browning, Timothy D., and Andrew Booker. “Square-Free Values of Reducible Polynomials.”10.19086/da.732__Discrete Analysis, vol. 8, 2016, pp. 1–18, doi:10.19086/da.732.

Browning, Timothy D., and Ilya Vinogradov. “Effective Ratner Theorem for SL (2, R) "c9 and Gaps in an modulo 1.”10.1112/jlms/jdw025__Journal of the London Mathematical Society, vol. 94, no. 1, John Wiley and Sons Ltd, 2016, pp. 61–84, doi:10.1112/jlms/jdw025.

Browning, Timothy D., and Rachel Newton. “The Proportion of Failures of the Hasse Norm Principle.”10.1112/S0025579315000261__Mathematika, vol. 62, no. 2, Cambridge University Press, 2016, pp. 337–47, doi:10.1112/S0025579315000261.

De La Bretèche, Régis, et al. “Counting Rational Points on the Cayley Ruled Cubic.”10.1007/s40879-015-0049-1__European Journal of Mathematics, vol. 2, no. 1, Springer Nature, 2016, pp. 55–72, doi:10.1007/s40879-015-0049-1.

Bright, Maritn, et al. “Failures of Weak Approximation in Families.”10.1112/S0010437X16007405__Compositio Mathematica, vol. 152, no. 7, Cambridge University Press, 2016, pp. 1435–75, doi:10.1112/S0010437X16007405.

Browning, Timothy D., and Ritabrata Munshi. “Pairs of Diagonal Quadratic Forms and Linear Correlations among Sums of Two Squares.”10.1515/forum-2013-6024__Forum Mathematicum, vol. 27, no. 4, Walter de Gruyter GmbH, 2015, pp. 2025–50, doi:10.1515/forum-2013-6024.

Browning, Timothy D. “A Survey of Applications of the Circle Method to Rational Points.”10.1017/CBO9781316106877.009__Arithmetic and Geometry, Cambridge University Press, 2015, pp. 89–113, doi:10.1017/CBO9781316106877.009.

Browning, Timothy D., and Pankaj Vishe. “Rational Points on Cubic Hypersurfaces over F_q(T) .”10.1007/s00039-015-0328-5__Geometric and Functional Analysis, vol. 25, no. 3, Birkhäuser, 2015, pp. 671–732, doi:10.1007/s00039-015-0328-5.

Browning, Timothy D., and Sean Prendiville. “Improvements in Birch’s Theorem on Forms in Many Variables.”10.1515/crelle-2014-0122__Journal Fur Die Reine Und Angewandte Mathematik, vol. 2017, no. 731, Walter de Gruyter, pp. 203–34, doi:10.1515/crelle-2014-0122.

Browning, Timothy D., et al. “Rational Points on Pencils of Conics and Quadrics with Many Degenerate Fibres.”https://doi.org/10.4007/annals.2014.180.1.8__Annals of Mathematics, vol. 180, no. 1, John Hopkins University Press, 2014, pp. 381–402, doi:https://doi.org/10.4007/annals.2014.180.1.8.

Browning, Timothy D., and Pankaj Vishe. “Cubic Hypersurfaces and a Version of the Circle Method for Number Fields.”10.1215/00127094-2738530__Duke Mathematical Journal, vol. 163, no. 10, Duke University Press, 2014, pp. 1825–83, doi:10.1215/00127094-2738530.

Browning, Timothy D., and Michael Jones. “Counting Rational Points on Del Pezzo Surfaces with a Conic Bundle Structure.”10.4064/aa163-3-6__Acta Arithmetica, vol. 163, no. 3, Instytut Matematyczny, 2014, pp. 271–98, doi:10.4064/aa163-3-6.

Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.”10.1093/imrn/rnt350__International Mathematics Research Notices, vol. 2015, no. 7, Oxford University Press, 2014, pp. 1987–2019, doi:10.1093/imrn/rnt350.

Browning, Timothy D., et al. “Rational Points on Intersections of Cubic and Quadric Hypersurfaces.”10.1017/S1474748014000127__Journal of the Institute of Mathematics of Jussieu, vol. 14, no. 4, Cambridge University Press, 2014, pp. 703–49, doi:10.1017/S1474748014000127.

Bretèche, Régis de la, and Timothy D. Browning. “Contre-Exemples Au Principe de Hasse Pour Certains Tores Coflasques.”10.5802/jtnb.857__Journal de Théorie Des Nombres de Bordeaux, vol. 26, no. 1, Cellule MathDoc/CEDRAM, 2014, pp. 25–44, doi:10.5802/jtnb.857.

Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Cubic Congruences and Rational Points on Del Pezzo Surfaces.”10.1515/crelle.2012.039__Journal Fur Die Reine Und Angewandte Mathematik, no. 680, Walter de Gruyter, 2013, pp. 69–151, doi:10.1515/crelle.2012.039.

Browning, Timothy D., and Ritabrata Munshi. “Rational Points on Singular Intersections of Quadrics.”10.1112/S0010437X13007185__Compositio Mathematica, vol. 149, no. 9, Cambridge University Press, 2013, pp. 1457–94, doi:10.1112/S0010437X13007185.

Browning, Timothy D. “The Lang-Weil Estimate for Cubic Hypersurfaces.”10.4153/CMB-2011-177-4__Canadian Mathematical Bulletin, vol. 56, no. 3, Unknown, 2013, pp. 500–02, doi:10.4153/CMB-2011-177-4.

De La Bretèche, Régis, and Timothy D. Browning. “Density of Châtelet Surfaces Failing the Hasse Principle.”10.1112/plms/pdt060__Proceedings of the London Mathematical Society, vol. 108, no. 4, Oxford University Press, 2013, pp. 1030–78, doi:10.1112/plms/pdt060.

De La Bretèche, Régis, and Timothy D. Browning. “Counter Examples to the Hasse Principle among Certain Coflasque Tori.”10.5802/jtnb.857__Journal de Theorie Des Nombres de Bordeaux, vol. 26, no. 1, Universite de Bordeaux I, 2013, pp. 25–44, doi:10.5802/jtnb.857.

Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces: Corrigendum.”10.1112/S0025579313000132__Mathematika, vol. 60, no. 1, Unknown, 2013, pp. 101–07, doi:10.1112/S0025579313000132.

Browning, Timothy D., and Stephan Baier. “Inhomogeneous Cubic Congruences and Rational Points on Del Pezzo Surfaces.”https://doi.org/10.1515/crelle.2012.039__Journal Fur Die Reine Und Angewandte Mathematik, vol. 2013, no. 680, Walter de Gruyter, 2012, pp. 1–65, doi:https://doi.org/10.1515/crelle.2012.039.

De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Family of Châtelet Surfaces.”10.4007/annals.2012.175.1.8__Annals of Mathematics, vol. 175, no. 1, Princeton University Press, 2012, pp. 297–343, doi:10.4007/annals.2012.175.1.8.

Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Quadratic Congruences.”10.7169/facm/2012.47.2.9__Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2, Adam Mickiewicz University Press, 2012, pp. 267–86, doi:10.7169/facm/2012.47.2.9.

Browning, Timothy D., and K. Van Valckenborgh. “Sums of Three Squareful Numbers.”10.1080/10586458.2011.605733__Experimental Mathematics, vol. 21, no. 2, Taylor &; Francis, 2012, pp. 204–11, doi:10.1080/10586458.2011.605733.

De La Bretèche, Régis, and Timothy D. Browning. “Binary Forms as Sums of Two Squares and Châtelet Surfaces.”10.1007/s11856-012-0019-y__Israel Journal of Mathematics, vol. 191, no. 2, Springer, 2012, pp. 973–1012, doi:10.1007/s11856-012-0019-y.

Baier, Stephan, et al. “Averages of Shifted Convolutions of10.1017/S001309151100037X__(N).”10.1017/S001309151100037X__Proceedings of the Edinburgh Mathematical Society, vol. 55, no. 3, Cambridge University Press, 2012, pp. 551–76, doi:10.1017/S001309151100037X.

Browning, Timothy D., and Roger Heath Brown. “Quadratic Polynomials Represented by Norm Forms.”10.1007/s00039-012-0168-5__Geometric and Functional Analysis, vol. 22, no. 5, Springer Basel, 2012, pp. 1124–90, doi:10.1007/s00039-012-0168-5.

Browning, Timothy D., and Alan Haynes. “Incomplete Kloosterman Sums and Multiplicative Inverses in Short Intervals.” https://doi.org/10.1142/S1793042112501448__International Journal of Number Theory, vol. 9, no. 2, World Scientific Publishing, 2012, pp. 481–86, doi: https://doi.org/10.1142/S1793042112501448.

Browning, Timothy D. “Power-Free Values of Polynomials.”10.1007/s00013-011-0224-7__Archiv Der Mathematik, vol. 96, no. 2, Birkhäuser, 2011, pp. 139–50, doi:10.1007/s00013-011-0224-7.

Browning, Timothy D. “The Divisor Problem for Binary Cubic Forms.”10.5802/jtnb.778__Journal de Theorie Des Nombres de Bordeaux, vol. 23, no. 3, Universite de Bordeaux, 2011, pp. 579–602, doi:10.5802/jtnb.778.

Browning, Timothy D., and Christian 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, 2011, pp. 685–96.

De La Bretèche, Régis, and Timothy D. Browning. “Manin’s Conjecture for Quartic Del Pezzo Surfaces with a Conic Fibration.”10.1215/00127094-1443466__Duke Mathematical Journal, vol. 160, no. 1, Duke University Press, 2011, pp. 1–69, doi:10.1215/00127094-1443466.

Browning, Timothy D., et al. “Least Zero of a Cubic Form.”10.1007/s00208-011-0651-6__Mathematische Annalen, vol. 352, no. 3, Springer, 2011, pp. 745–78, doi:10.1007/s00208-011-0651-6.

Browning, Timothy D., and Jean Colliot Thélène. “Rational Points on Cubic Hypersurfaces That Split off a Form. With an Appendix by J-L Colliot-Thélène.”10.1112/S0010437X0900459X__Compositio Mathematica, vol. 146, no. 4, Cambridge University Press, 2010, pp. 853–85, doi:10.1112/S0010437X0900459X.

De La Bretèche, Régis, and Timothy D. Browning. “Le Problème Des Diviseurs Pour Des Formes Binaires de Degré 4.”10.1515/CRELLE.2010.064__Journal Fur Die Reine Und Angewandte Mathematik, no. 646, Walter de Gruyter, 2010, pp. 1–44, doi:10.1515/CRELLE.2010.064.

Bretèche, Régis de la, and Timothy D. Browning. “Le Problème Des Diviseurs Pour Des Formes Binaires de Degré 4.”10.1515/crelle.2010.064__Crelles Journal, vol. 2010, no. 646, Walter de Gruyter GmbH, 2010, pp. 1–44, doi:10.1515/crelle.2010.064.

Browning, Timothy D., and Roger Heath Brown. “Integral Points on Cubic Hypersurfaces.” Analytic Number Theory: Essays in Honour of Klaus Roth, Cambridge University Press, 2009, pp. 75–90.

Browning, Timothy D. Resent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces. Edited by Takashi Aoki et al., vol. 6, World Scientific Publishing, 2009, pp. 1–18, doi:https://doi.org/10.1142/9789814289924_0001.

Browning, Timothy D., and Rainer Dietmann. “Solubility of Fermat Equations.”http://dx.doi.org/10.1090/conm/493__Quadratic Forms - Algebra, Arithmetic and Geometry, vol. 493, American Mathematical Society, 2009, pp. 99–106, doi:http://dx.doi.org/10.1090/conm/493.

Browning, Timothy D., and Ulrich Derenthal. “Manin’s Conjecture for a Quartic Del Pezzo Surface with10.5802/aif.2462__Singularity.”10.5802/aif.2462__Annales de l’Institut Fourier, vol. 59, no. 3, Association des Annales de l’Institut Fourier, 2009, pp. 1231–65, doi:10.5802/aif.2462.

Browning, Timothy D. Quantitative Arithmetic of Projective Varieties. Vol. 277, Birkhäuser Basel, 2009, doi:10.1007/978-3-0346-0129-0.

Browning, Timothy D., and Roger Heath Brown. “Rational Points on Quartic Hypersurfaces.”10.1515/CRELLE.2009.026__Journal Fur Die Reine Und Angewandte Mathematik, no. 629, Walter de Gruyter, 2009, pp. 37–88, doi:10.1515/CRELLE.2009.026.

Browning, Timothy D. “Linear Growth for Châtelet Surfaces.”10.1007/s00208-009-0383-z__Mathematische Annalen, vol. 346, no. 1, Springer Nature, 2009, pp. 41–50, doi:10.1007/s00208-009-0383-z.

Browning, Timothy D., and Ulrich Derenthal. “Manin’s Conjecture for a Cubic Surface with  D 5 Singularity.”10.1093/imrn/rnp029__International Mathematics Research Notices, vol. 2009, no. 14, Oxford University Press, 2009, pp. 2620–47, doi:10.1093/imrn/rnp029.

Browning, Timothy D., and Rainer Dietmann. “On the Representation of Integers by Quadratic Forms.”10.1112/plms/pdm032__Proceedings of the London Mathematical Society, vol. 96, no. 2, John Wiley and Sons Ltd, 2008, pp. 389–416, doi:10.1112/plms/pdm032.

De La Bretèche, Régis, and Timothy D. Browning. “Binary Linear Forms as Sums of Two Squares.”10.1112/S0010437X08003692__Compositio Mathematica, vol. 144, no. 6, Cambridge University Press, 2008, pp. 1375–402, doi:10.1112/S0010437X08003692.

Browning, Timothy D., and Roger Heath Brown. “Simultaneous Equal Sums of Three Powers.” Diophantine Geometry, edited by Umberto Zannier, vol. 4, Edizioni della Normale, 2007, pp. 93–100.

De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Certain Singular Cubic Surface.”10.1016/j.ansens.2006.12.002__Annales Scientifiques de l’Ecole Normale Superieure, vol. 40, no. 1, Societe Mathematique de France, 2007, pp. 1–50, doi:10.1016/j.ansens.2006.12.002.

Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces.”10.1112/S0025579300000243__Mathematika, vol. 54, no. 1–2, University College London, 2007, pp. 93–112, doi:10.1112/S0025579300000243.

De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for Singular Del Pezzo Surfaces of Degree Four, I.”10.1307/mmj/1177681985__Michigan Mathematical Journal, vol. 55, no. 1, Project Euclid, 2007, pp. 51–80, doi:10.1307/mmj/1177681985.

De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for Singular Del Pezzo Surfaces of Degree Four, II.”10.1017/S0305004107000205__Mathematical Proceedings of the Cambridge Philosophical Society, vol. 143, no. 3, Unknown, 2007, pp. 579–605, doi:10.1017/S0305004107000205.

Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic Forms.”10.1007/s00605-007-0457-5__Monatshefte Fur Mathematik, vol. 152, no. 1, Springer, 2007, pp. 13–38, doi:10.1007/s00605-007-0457-5.

Browning, Timothy D. “An Overview of Manin’s Conjecture for Del Pezzo Surfaces.” A Tribute to Gauss and Dirichlet, vol. 7, American Mathematical Society, 2007, pp. 39–56.

Browning, Timothy D. “The Manin Conjecture in Dimension 2.” ArXiv, 0704.1217.

Browning, Timothy D., et al. “The Density of Rational Points on Non-Singular Hypersurfaces, II.”https://doi.org/10.1112/S0024611506015784__Proceedings of the London Mathematical Society, vol. 93, no. 2, John Wiley and Sons Ltd, 2006, pp. 273–303, doi:https://doi.org/10.1112/S0024611506015784.

Browning, Timothy D., and Roger Heath Brown. “The Density of Rational Points on Non-Singular Hypersurfaces, I.”10.1112/S0024609305018412__Bulletin of the London Mathematical Society, vol. 38, no. 3, Wiley-Blackwell, 2006, pp. 401–10, doi:10.1112/S0024609305018412.

Browning, Timothy D., et al. “Counting Rational Points on Algebraic Varieties.”10.1215/S0012-7094-06-13236-2__Duke Mathematical Journal, vol. 132, no. 3, Unknown, 2006, pp. 545–78, doi:10.1215/S0012-7094-06-13236-2.

De La Bretèche, Régis, and Timothy D. Browning. “Sums of Arithmetic Functions over Values of Binary Forms.”10.4064/aa125-3-6__Acta Arithmetica, vol. 125, no. 3, Instytut Matematyczny, 2006, pp. 291–304, doi:10.4064/aa125-3-6.

Davenport, Harold, and Timothy D. Browning. Analytic Methods for Diophantine Equations and Diophantine Inequalities. Cambridge University Press, 2005, doi:10.1017/CBO9780511542893.

Browning, Timothy D. “Equal Sums of like Polynomials.”10.1112/S0024609305004741__Bulletin of the London Mathematical Society, vol. 37, no. 6, John Wiley and Sons Ltd, 2005, pp. 801–08, doi:10.1112/S0024609305004741.

Browning, Timothy D., and Roger Heath Brown. “Counting Rational Points on Hypersurfaces.”https://doi.org/10.1515/crll.2005.2005.584.83__Journal Fur Die Reine Und Angewandte Mathematik, no. 584, Walter de Gruyter and Co , 2005, pp. 83–115, doi:https://doi.org/10.1515/crll.2005.2005.584.83.

Browning, Timothy D., and Roger Heath Brown. “Plane Curves in Boxes and Equal Sums of Two Powers.”10.1007/s00209-004-0719-z__Mathematische Zeitschrift, vol. 251, no. 2, Unknown, 2005, pp. 233–47, doi:10.1007/s00209-004-0719-z.

Browning, Timothy D. “The Density of Rational Points on a Certain Singular Cubic Surface.”10.1016/j.jnt.2005.11.007__Journal of Number Theory, vol. 119, no. 2, Elsevier, 2005, pp. 242–83, doi:10.1016/j.jnt.2005.11.007.

Browning, Timothy D., and Roger Heath Brown. “Equal Sums of Three Powers.”10.1007/s00222-004-0360-9__Inventiones Mathematicae, vol. 157, no. 3, Unknown, 2004, pp. 553–73, doi:10.1007/s00222-004-0360-9.

Browning, Timothy D., 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.

Browning, Timothy D. “Counting Rational Points on Cubic and Quartic Surfaces.”10.4064/aa108-3-7__Acta Arithmetica, vol. 108, no. 3, Instytut Matematyczny, 2003, pp. 275–95, doi:10.4064/aa108-3-7.

Browning, Timothy D. “A Note on the Distribution of Rational Points on Threefolds.”10.1093/qjmath/54.1.33__Quarterly Journal of Mathematics, vol. 54, no. 1, Unknown, 2003, pp. 33–39, doi:10.1093/qjmath/54.1.33.

Browning, Timothy D. “Sums of Four Biquadrates.”10.1017/S0305004102006382__Mathematical Proceedings of the Cambridge Philosophical Society, vol. 134, no. 3, Cambridge University Press, 2003, pp. 385–95, doi:10.1017/S0305004102006382.

Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.”10.1093/qjmath/54.1.11__Quarterly Journal of Mathematics, vol. 54, no. 1, Oxford University Press, 2003, pp. 11–31, doi:10.1093/qjmath/54.1.11.

Browning, Timothy D. “Equal Sums of Two Kth Powers.”10.1006/jnth.2002.2800__Journal of Number Theory, vol. 96, no. 2, Academic Press, 2002, pp. 293–318, doi:10.1006/jnth.2002.2800.