Publications

40. Campana points on wonderful compactifications (with Dylon Chow,  Ramin Takloo-Bighash and Sho Tanimoto),

       submitted, [arXiv:2403.14433].

39. Rationality and arithmetic of the moduli of abelian varieties (with Gregory Sankaran),

       submitted, [arXiv:2310.01244].

38. Normal distribution of bad reduction (with Robert Lemke Oliver and Ari Shnidman),

       submitted, [arXiv:2305.15874].

37. The leading constant for rational points in families (with Nick Rome and Efthymios Sofos),

       submitted, [arXiv:2210.13559].

36. Distribution of genus numbers of abelian number fields (with Christopher Frei and Rachel Newton),

      Journal of the London Mathematical Society, (2) 107 (2023), no. 6, 2197–2217. [arXiv:2209.10659].

35. The elliptic sieve and Brauer groups (with Subham Bhakta, Simon L. Rydin Myerson, and Masahiro Nakahara)

       Proceedings of the London Mathematical Society (3) 126 (2023), no. 6, 1884–1922. [arXiv:2109.03746].

34. Good reduction and cyclic covers (with Ariyan Javanpeykar and Siddharth Mathur),

        Journal de l’Institut de Mathématiques de Jussieu, 23 (2024), no. 1, 463--494. [arXiv:2009.01831].

33. Multivariate normal distribution for integral points on varieties (with Daniel El-Baz and Efthymios Sofos),

       Transactions of the American Mathematical Society,  375 (2022), no. 5, 3089–3128, [arxiv:2001.10970].

32. Quantitative arithmetic of diagonal degree 2 K3 surfaces (with Damián Gvirtz and Masahiro Nakahara),

Mathematische Annalen, 384 (2022), no. 1-2, 135–209,  [arxiv:1910.06257].

31. Brauer-Manin obstruction for Erdős-Straus surfaces (with Martin Bright),

       Bulletin of the London Mathematical Society 52 (2020), no. 4, 746-761, [arxiv:1908.02526].

30. Rank jumps on elliptic surfaces and the Hilbert property (with Cecília Salgado),

       Annales de l'institut Fourier,  72 (2022), no. 2, 617–638. [arXiv:1907.01987].

29. Frobenian multiplicative functions and rational points in fibrations (with Lilian Matthiesen),

       Journal of the European Mathematical Society, to appear, [arXiv:1904.12845].

28. Inverse Galois problem for del Pezzo surfaces over finite fields (with Andrey Trepalin),

       Mathematical Research Letters, 27 (2020), no. 3, 845-854, [arXiv:1811.06785].

27. Number fields with prescribed norms (with Christopher Frei and Rachel Newton, and an appendix by Yonatan Harpaz and Olivier Wittenberg),

       Commentarii Mathematici Helvetici, 97 (2022), no. 1, 133–181 , [arXiv:1810.06024].

26. Arithmetic hyperbolicity and a stacky Chevalley-Weil theorem (with Ariyan Javanpeykar),

       Journal of the London Mathematical Society, 103 (2021) , no. 3, 846–869, [arXiv:1808.09876].

25. Integral Hasse principle and strong approximation for Markoff surfaces (with Vlad Mitankin),

       International Mathematics Research Notices,  18 (2021), 14086-14122, [arxiv:1807.10223].

24. An Erdős-Kac law for local solubility in families of varieties (with Efthymios Sofos),

       Selecta Mathematica,  27 (2021), no. 3, 42, [arxiv:1711.08396].

23. Normes de droites sur les surfaces cubiques (with Jean-Louis Colliot-Thélène),

       Pure and Applied Mathematics Quarterly, 13 (2017), no. 1, 123–130, [arXiv:1704.05109].

22. Rational points and non-anticanonical height functions (with Christopher Frei),

       Proceedings of the American Mathematical Society, 147 (2019), no. 8, 3209-3223, [arXiv:1707.03231].

21. Pseudo-split fibres and arithmetic surjectivity (with Alexei Skorobogatov and Arne Smeets),

       Annales Scientifiques de l'École Normale Supérieure, 53 (2020), no. 4, 1037-1070, [arXiv:1705.10740].

20. Zero-loci of Brauer group elements on semi-simple algebraic groups (with Ramin Takloo-Bighash and Sho Tanimoto),

       Journal de l’Institut de Mathématiques de Jussieu, 19 (2020), no. 5, 1467-1507, [arXiv:1705.09244].

19. Sieving rational points on varieties (with Tim Browning),

       Transactions of the American Mathematical Society, 371 (2019), no. 8, 5757-5785, [arXiv:1705.01999].

18. Rational points of bounded height on general conic bundle surfaces (with Christopher Frei and Efthymios Sofos),

       Proceedings of the London Mathematical Society, (3) 117 (2018), no. 2, 407-440, [arXiv:1609.04330], [Magma code].

17. Del Pezzo surfaces over finite fields and their Frobenius traces (with Barinder Banwait and Francesc Fité),

       Mathematical Proceedings of the Cambridge Philosophical Society, 167 (2019), 35-60, [arXiv:1606.00300], [Magma code].

16. Good reduction of Fano threefolds and sextic surfaces (with Ariyan Javanpeykar),

       Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5) 18 (2018), no. 2, 509–535, [arXiv:1512.07189].

15. The moduli of smooth hypersurfaces with level structure (with Ariyan Javanpeykar),

       Manuscripta mathematica, 154 (2017), no. 1-2, 13-22. [arXiv:1511.09291].

14. Fibrations with few rational points (with Arne Smeets),

       Geometric and Functional Analysis (GAFA), 26(5) (2016), 1449-1482, [arXiv:1511.08027].

13. The Hasse norm principle for abelian extensions (with Christopher Frei and Rachel Newton),

       American Journal of Mathematics, 140(6) (2018), 1639-1685, [arXiv:1508.02518]. Corrigendum.

12. Failures of weak approximation in families (with Martin Bright and Tim Browning),

       Compositio Mathematica, 152(71) (2016), 1435-1475, [arXiv:1506.01817].

11. Complete intersections: Moduli, Torelli, and good reduction (with Ariyan Javanpeykar),

       Mathematische Annalen, 368 (2017), no. 3-4, 1191-1225, [arXiv:1505.02249].

10. The Hasse principle for lines on diagonal surfaces (with Jörg Jahnel),

       Mathematical Proceedings of the Cambridge Philosophical Society, 160(1) (2016), 107–119, [arXiv:1503.05021].

9.   Good reduction of algebraic groups and flag varieties (with Ariyan Javanpeykar),

       Archiv der Mathematik, 104(2) (2015), 133-143, [arXiv:1501.04526].

8.   The Hasse principle for lines on del Pezzo surfaces (with Jörg Jahnel),

       International Mathematics Research Notices, 23 (2015), 12877–12919, [arXiv:1410.5671], [Magma code].

7.   Varieties with too many rational points (with Tim Browning),

       Mathematische Zeitschrift, 285(3) (2017), 1249-1267. [arXiv:1311.5755].

6.   The number of varieties in a family which contain a rational point,

        Journal of the European Mathematical Society, 20(10) (2018), 2539–2588. [arXiv:1310.6219].

5.   Equivariant compactifications of two-dimensional algebraic groups (with Ulrich Derenthal),

       Proceedings of the Edinburgh Mathematical Society, 58(1) (2015), 149-168, [arXiv:1212.3518].

4.   Rational points of bounded height and the Weil restriction,

       Israel Journal of Mathematics, 210(1) (2015), 47-79, [arXiv:1210.1792].

3.   Manin's conjecture for a singular quartic del Pezzo surface,

       Journal of the London Mathematical Society, 86(2) (2012), 558-584, [arXiv:1109.6253].

2.   Manin's conjecture for a singular sextic del Pezzo surface,

       Journal de Théorie des Nombres de Bordeaux, 22(3) (2010), 675-701, [arXiv:1009.2364].

1.   Singular del Pezzo surfaces that are equivariant compactifications (with Ulrich Derenthal),

       Hausdorff Trimester on Diophantine equations in: Journal of Mathematical Sciences 171 (2010), no. 6, 714-724, [arXiv:0910.2717].