Articles
On Grothendieck's section conjecture for curves of index 1. To appear on the Journal de Théorie des nombres de Bordeaux.
arxiv:2305.10088On the section conjecture over fields of finite type. Mathematische Nachrichten, 298 (2025), no. 11, 3476-3493.
doi:10.1002/mana.70049 arxiv:1911.03234 MR4974757A higher dimensional Hilbert irreducibility theorem. American Journal of Mathematics, 147 (2025), no. 3, 779-794.
doi:10.1353/ajm.2025.a961346 arxiv:2101.01090 MR4914755The field of moduli of sets of points in P^2. Archiv der Mathematik, 122 (2024), 513-519.
doi:10.1007/s00013-024-01984-0 arxiv:2303.01408 MR4734564The field of moduli of a divisor on a rational curve. Journal of Algebra, 647 (2024), 72-98.
doi:10.1016/j.jalgebra.2024.02.021 arxiv:2211.03438 MR4713173The field of moduli of varieties with a structure. Bollettino dell'Unione Matematica Italiana, 17 (2024), no. 3, 613-624.
doi:10.1007/s40574-023-00399-z arxiv:2303.01409 MR4787921Fields of moduli and arithmetic of tame quotient singularities, with A. Vistoli. Compositio Mathematica, 160 (2024), no. 5, 982-1003.
doi:10.1112/S0010437X2400705X arxiv:2210.04789 MR4723349On the birational section conjecture with strong birationality assumptions. Inventiones mathematicae, 235 (2024), no. 1, 129-150.
doi:10.1007/s00222-023-01220-6 arxiv:2108.13397 MR4688702An arithmetic valuative criterion for proper maps of tame algebraic stacks, with A. Vistoli. Manuscripta Mathematica, 173 (2024), no. 3, 1061-1071.
doi:10.1007/s00229-023-01491-6 arxiv:2210.03406 MR4704766The arithmetic of tame quotient singularities in dimension 2. International Mathematics Research Notices, 2024 (2024), no. 3, 2017–2043.
doi:10.1093/imrn/rnad079 arxiv:2211.05669 MR4702270The genericity theorem for the essential dimension of tame stacks, with A. Vistoli. Pure and Applied Mathematics Quarterly, 18 (2022), no. 4, 1365-1377.
doi:10.4310/PAMQ.2022.v18.n4.a4 arxiv:2111.01117 MR4504027On the Bombieri-Lang Conjecture over finitely generated fields. Algebra & Number theory, 16 (2022), no. 10, 2409-2414.
doi:10.2140/ant.2022.16.2409 arxiv:2012.15765 MR4546493On the section conjecture and Brauer-Severi varieties, Mathematische Zeitschrift, 300 (2022) no. 2, 1291-1296.
doi:10.1007/s00209-021-02835-2 arxiv:2106.07397 MR4363777Essential dimension and pro-finite group schemes, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5), XXII (2021) no. 4, 1899-1936.
doi:10.2422/2036-2145.202005_020 arxiv:1904.00789 MR4360607Some implications between Grothendieck’s anabelian conjectures, Algebraic Geometry, 8 (2021), 231-267.
doi:10.14231/AG-2021-005 arxiv:1804.07176 MR4174290