Research Interests
My main area of research lies in the vastness of arithmetic geometry. More specifically I am interested in algebraic number theory with a view towards problems of unlikely intersections; and in Arakelov geometry and its applications to arithmetic aspects of toric varieties.
Publications and Prepublications
Homothéties explicites des représentations l-adiques (with Aurélien Galateau), preprint (2020). see
Higher dimensional essential minima and equidistribution of cycles (with Roberto Gualdi), preprint (2020). arXiv version
A bound for the torsion on subvarieties of abelian varieties (with Aurélien Galateau), preprint (2017), submitted. arXiv version
An arithmetic Bernštein-Kušnirenko inequality (with Martín Sombra), Mathematische Zeitschrift, Vol. 291 (2019), pp. 1211-1244. arXiv version
The number of maximal torsion cosets in subvarieties of tori, preprint (2015), to appear in Journal für die reine und angewandte Mathematik. arXiv version
On isogenies of Prym varieties (with Roberto Laface), Le Matematiche, Vol. LXXII (2017) – Fasc. II, pp. 131–140. arXiv version
Higher dimensional essential minima and equidistribution of cycles (with Roberto Gualdi), preprint (2020). arXiv version
A bound for the torsion on subvarieties of abelian varieties (with Aurélien Galateau), preprint (2017), submitted. arXiv version
An arithmetic Bernštein-Kušnirenko inequality (with Martín Sombra), Mathematische Zeitschrift, Vol. 291 (2019), pp. 1211-1244. arXiv version
The number of maximal torsion cosets in subvarieties of tori, preprint (2015), to appear in Journal für die reine und angewandte Mathematik. arXiv version
On isogenies of Prym varieties (with Roberto Laface), Le Matematiche, Vol. LXXII (2017) – Fasc. II, pp. 131–140. arXiv version
Check also my Ph.D. thesis "Two problems in arithmetic geometry. Explicit Manin-Mumford, and Arithmetic Bernštein-Kušnirenko".
