Uniform bounds for rational points on hyperelliptic fibrations
D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze 24 (2023) 173–204.

Free rational curves on low degree hypersurfaces and the circle method
T.D. Browning, W. Sawin, Algebra and Number Theory 17 (2023) 719–748.

Local solubility for a family of quadrics over a split quadric surface
T.D. Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342.

The Hasse principle for random Fano hypersurfaces
T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203.

Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5
T.D. Browning, New York Journal of Mathematics 28 (2022) 1193–1229.

Equidistribution and freeness on Grassmannians
T.D. Browning, T. Horesh, F.A. Wilsch, Algebra &; Number Theory 16 (2022) 2385–2407.

Cubic Forms and the Circle Method
T.D. Browning, Cubic Forms and the Circle Method, Springer Nature, Cham, 2021.

The geometric sieve for quadrics
T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.

Arithmetic of higher-dimensional orbifolds and a mixed Waring problem
T.D. Browning, S. Yamagishi, Mathematische Zeitschrift 299 (2021) 1071–1101.

A geometric version of the circle method
T.D. Browning, W. Sawin, Annals of Mathematics 191 (2020) 893–948.

Density of rational points on a quadric bundle in 3×3
T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165.

Free rational points on smooth hypersurfaces
T.D. Browning, W. Sawin, Commentarii Mathematici Helvetici 95 (2020) 635–659.

Counting rational points on quartic del Pezzo surfaces with a rational conic
T.D. Browning, E. Sofos, Mathematische Annalen 373 (2019) 977–1016.

Sieving rational points on varieties
T.D. Browning, D. Loughran, Transactions of the American Mathematical Society 371 (2019) 5757–5785.

Counting rational points on biquadratic hypersurfaces
T.D. Browning, L.Q. Hu, Advances in Mathematics 349 (2019) 920–940.

How often does the Hasse principle hold?
T.D. Browning, in:, American Mathematical Society, 2018, pp. 89–102.

Averages of arithmetic functions over principal ideals
T.D. Browning, E. Sofos, International Journal of Nuber Theory 15 (2018) 547–567.

Counting rational points on quadric surfaces
T.D. Browning, R. Heath-Brown, Discrete Analysis 15 (2018) 1–29.

Twisted Linnik implies optimal covering exponent for 
T.D. Browning, V. Kumaraswamy, R. Steiner, International Mathematics Research Notices (2017).

Strong approximation and a conjecture of Harpaz and Wittenberg
T.D. Browning, D. Schindler, International Mathematics Research Notices (2017).