Lombardo, Davide, and Matteo Verzobio. “On the Local-Global Principle for Isogenies of Abelian Surfaces.”https://doi.org/10.1007/s00029-023-00908-0__Selecta Mathematica. Springer Nature, 2024.https://doi.org/10.1007/s00029-023-00908-0 .

Naskrcki, Bartosz, and Matteo Verzobio. “Common Valuations of Division Polynomials.”https://doi.org/10.1017/prm.2024.7__Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge University Press, 2024.https://doi.org/10.1017/prm.2024.7 .

Bonolis, Dante, Timothy D Browning, and Zhizhong Huang. “Density of Rational Points on Some Quadric Bundle Threefolds.”https://doi.org/10.1007/s00208-024-02854-4__Mathematische Annalen. Springer Nature, 2024.https://doi.org/10.1007/s00208-024-02854-4 .

Browning, Timothy D, Lillian B. Pierce, and Damaris Schindler. “Generalised Quadratic Forms over Totally Real Number Fields.”https://doi.org/10.1017/S1474748024000161__Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2024.https://doi.org/10.1017/S1474748024000161 .

Browning, Timothy D, and Igor E. Shparlinski. “Square-Free Values of Random Polynomials.”https://doi.org/10.1016/j.jnt.2024.02.013__Journal of Number Theory. Elsevier, 2024.https://doi.org/10.1016/j.jnt.2024.02.013 .

Browning, Timothy D, Julian Lyczak, and Roman Sarapin. “Local Solubility for a Family of Quadrics over a Split Quadric Surface.”https://doi.org/10.2140/involve.2023.16.331__Involve. Mathematical Sciences Publishers, 2023.https://doi.org/10.2140/involve.2023.16.331 .

Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.”https://doi.org/10.1093/imrn/rnac048__International Mathematics Research Notices. Oxford Academic, 2023.https://doi.org/10.1093/imrn/rnac048 .

Balestrieri, Francesca. “Some Remarks on Strong Approximation and Applications to Homogeneous Spaces of Linear Algebraic Groups.”https://doi.org/10.1090/proc/15239__Proceedings of the American Mathematical Society. American Mathematical Society, 2023.https://doi.org/10.1090/proc/15239 .

Browning, Timothy D, and Will Sawin. “Free Rational Curves on Low Degree Hypersurfaces and the Circle Method.”https://doi.org/10.2140/ant.2023.17.719__Algebra and Number Theory. Mathematical Sciences Publishers, 2023.https://doi.org/10.2140/ant.2023.17.719 .

Browning, Timothy D, Pierre Le Boudec, and Will Sawin. “The Hasse Principle for Random Fano Hypersurfaces.”https://doi.org/10.4007/annals.2023.197.3.3__Annals of Mathematics. Princeton University, 2023.https://doi.org/10.4007/annals.2023.197.3.3 .

Bonolis, Dante, and Timothy D Browning. “Uniform Bounds for Rational Points on Hyperelliptic Fibrations.”https://doi.org/10.2422/2036-2145.202010_018__Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale, 2023.https://doi.org/10.2422/2036-2145.202010_018 .

Verzobio, Matteo. “Some Effectivity Results for Primitive Divisors of Elliptic Divisibility  Sequences.”https://doi.org/10.2140/pjm.2023.325.331__Pacific Journal of Mathematics. Mathematical Sciences Publishers, 2023.https://doi.org/10.2140/pjm.2023.325.331 .

Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse Principle on Log K3 Surfaces.”https://doi.org/10.5802/aif.3529__Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier, 2023.https://doi.org/10.5802/aif.3529 .

Horesh, Tal, and Amos Nevo. “Horospherical Coordinates of Lattice Points in Hyperbolic Spaces: Effective Counting and Equidistribution.”https://doi.org/10.2140/pjm.2023.324.265__Pacific Journal of Mathematics. Mathematical Sciences Publishers, 2023.https://doi.org/10.2140/pjm.2023.324.265 .

Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices in dn.”https://doi.org/10.1093/qmath/haad008__Quarterly Journal of Mathematics. Oxford University Press, 2023.https://doi.org/10.1093/qmath/haad008 .

Shute, Alec L. “Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points.”https://doi.org/10.15479/at:ista:12072__Institute of Science and Technology Austria, 2022.https://doi.org/10.15479/at:ista:12072 .

Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.”https://doi.org/10.48550/arXiv.2202.10909__ArXiv, n.d.https://doi.org/10.48550/arXiv.2202.10909 .

Browning, Timothy D, Tal Horesh, and Florian Alexander Wilsch. “Equidistribution and Freeness on Grassmannians.”https://doi.org/10.2140/ant.2022.16.2385__Algebra &; Number Theory. Mathematical Sciences Publishers, 2022.https://doi.org/10.2140/ant.2022.16.2385 .

Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.”https://doi.org/10.1017/S030500412100030X__Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 2022.https://doi.org/10.1017/S030500412100030X .

Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.”https://doi.org/10.1017/S1474748022000482__Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2022.https://doi.org/10.1017/S1474748022000482 .

Cao, Yang, and Zhizhong Huang. “Arithmetic Purity of the Hardy-Littlewood Property and Geometric Sieve for Affine Quadrics.”https://doi.org/10.1016/j.aim.2022.108236__Advances in Mathematics. Elsevier, 2022.https://doi.org/10.1016/j.aim.2022.108236 .

Kmentt, Philip, and Alec L Shute. “The Bertini Irreducibility Theorem for Higher Codimensional Slices.”https://doi.org/10.1016/j.ffa.2022.102085__Finite Fields and Their Applications. Elsevier, 2022.https://doi.org/10.1016/j.ffa.2022.102085 .

Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points in Positive Characteristic.”https://doi.org/10.5802/JTNB.1222__Journal de Theorie Des Nombres de Bordeaux. Centre Mersenne, 2022.https://doi.org/10.5802/JTNB.1222 .

Browning, Timothy D. “Revisiting the Manin–Peyre Conjecture for the Split Del Pezzo Surface of Degree 5.” New York Journal of Mathematics. State University of New York, 2022.

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

Shute, Alec L. “Sums of Four Squareful Numbers.”https://doi.org/10.48550/arXiv.2104.06966__ArXiv, n.d.https://doi.org/10.48550/arXiv.2104.06966 .

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

Autissier, Pascal, Dante Bonolis, and Youness Lamzouri. “The Distribution of the Maximum of Partial Sums of Kloosterman Sums and Other Trace Functions.”https://doi.org/10.1112/s0010437x21007351__Compositio Mathematica. Cambridge University Press, 2021.https://doi.org/10.1112/s0010437x21007351 .

Browning, Timothy D, and Roger Heath-Brown. “The Geometric Sieve for Quadrics.”https://doi.org/10.1515/forum-2020-0074__Forum Mathematicum. De Gruyter, 2021.https://doi.org/10.1515/forum-2020-0074 .

Bilu, Margaret, and Sean Howe. “Motivic Euler Products in Motivic Statistics.”https://doi.org/10.2140/ant.2021.15.2195__Algebra &; Number Theory. Mathematical Sciences Publishers, 2021.https://doi.org/10.2140/ant.2021.15.2195 .

Shute, Alec L. “On the Leading Constant in the Manin-Type Conjecture for Campana Points.”https://doi.org/10.48550/arXiv.2104.14946__ArXiv, n.d.https://doi.org/10.48550/arXiv.2104.14946 .

Browning, Timothy D, and Will Sawin. “A Geometric Version of the Circle Method.”https://doi.org/10.4007/annals.2020.191.3.4__Annals of Mathematics. Princeton University, 2020.https://doi.org/10.4007/annals.2020.191.3.4 .

Browning, Timothy D, and Will Sawin. “Free Rational Points on Smooth Hypersurfaces.”https://doi.org/10.4171/CMH/499__Commentarii Mathematici Helvetici. European Mathematical Society, 2020.https://doi.org/10.4171/CMH/499 .

Browning, Timothy D, and Roger Heath Brown. “Density of Rational Points on a Quadric Bundle in 3×3.”https://doi.org/10.1215/00127094-2020-0031__Duke Mathematical Journal. Duke University Press, 2020.https://doi.org/10.1215/00127094-2020-0031 .

Browning, Timothy D, and Daniel Loughran. “Sieving Rational Points on Varieties.”https://doi.org/10.1090/tran/7514__Transactions of the American Mathematical Society. American Mathematical Society, 2019.https://doi.org/10.1090/tran/7514 .

Browning, Timothy D, and L.Q. Hu. “Counting Rational Points on Biquadratic Hypersurfaces.”https://doi.org/10.1016/j.aim.2019.04.031__Advances in Mathematics. Elsevier, 2019.https://doi.org/10.1016/j.aim.2019.04.031 .

De La Bretèche, Régis, Kevin N Destagnol, Jianya Liu, Jie Wu, and Yongqiang Zhao. “On a Certain Non-Split Cubic Surface.”https://doi.org/10.1007/s11425-018-9543-8__Science China Mathematics. Springer, 2019.https://doi.org/10.1007/s11425-018-9543-8 .

Destagnol, Kevin N, and Efthymios Sofos. “Rational Points and Prime Values of Polynomials in Moderately Many Variables.”https://doi.org/10.1016/j.bulsci.2019.102794__Bulletin Des Sciences Mathematiques. Elsevier, 2019.https://doi.org/10.1016/j.bulsci.2019.102794 .

Ionica, Sorina, Pnar Klçer, Kristin Lauter, Elisa Lorenzo García, Maria-Adelina Manzateanu, Maike Massierer, and Christelle Vincent. “Modular Invariants for Genus 3 Hyperelliptic Curves.”https://doi.org/10.1007/s40993-018-0146-6__Research in Number Theory. Springer Nature, 2019.https://doi.org/10.1007/s40993-018-0146-6 .