Research

 Find my papers on ArXiv, MathSciNet, ORCID, ResearchGate or Google Scholar, and the codes on Github.

Published or accepted papers

1. A Pila-Wilkie theorem for Hensel minimal curves (with K. H. Nguyen, M. Stout, and F. Vermeulen), Model Theory, Vol. 3, No. 1 (2024), 119-145.

2. The Mumford-Tate conjecture implies the algebraic Sato-Tate conjecture of Banaszak and Kedlaya (with J. Commelin), Indiana University Mathematics Journal, Vol. 71, No. 6 (2022), 2595-2603.

3. Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces (with A. Garbagnati, C. Salgado, A. Trbović & R. Winter), Women in Numbers Europe III, Association for Women in Mathematics Series, Vol 24. Springer, Cham (2021), 171-205.

4. Torsion for abelian varieties of type III, Journal of Number Theory, Vol. 198 (2019), 346-380.

5. Chabauty-Coleman experiments for genus 3 hyperelliptic curves (with J. S. Balakrishnan, F. Bianchi, M. Çiperiani & A. Etropolski),  Research Directions in Number Theory, Association for Women in Mathematics Series, Vol. 19, Springer, (2019), 67–90.

   • The code on SageMath is available on Github.

6. The twisting Sato-Tate group of the curve y^2=x^8−14x^4+1 (with S. Arora, A. Landesman, D. Lombardo & J. S. Morrow),  Mathematische Zeitschrift, Vol. 290 (2018), 991-1022.

7. Effective bounds for Brauer groups of Kummer surfaces over number fields (with Y. Tang, S. Tanimoto & E. Visse), Journal of the London Mathematical Society, Vol. 97, Issue 3 (2018), 353-376.

   • The code on Magma is available on the source file of the 1st version of ArXiv.

Submitted papers

1. Monodromy groups of Jacobians with definite quaternionic multiplication (with D. Lombardo and J. Voight)

2. A remark on the component group of the Sato-Tate group (with G. Banaszak). 

Other works

1. New instances of the Mumford–Tate conjecture, Proceedings of the Roman Number Theory Association, Vol. 4, no. 1 (2019), 123-124.

2. A survey around the Hodge, Tate and Mumford-Tate conjectures for abelian varieties.

3. Ph.D. Thesis - Points de torsion pour les variétés abéliennes de type III.

4. Master thesis -  Classes de Hodge dans des variétés abéliennes complexes de petites dimensions. 

5. Habilitation thesis - The arithmetic of abelian varieties and beyond.

Posters

• 1. Around Hodge, Tate and Mumford-Tate conjectures on abelian varieties, Young Women in Algebraic Geometry, (Bonn, Germany - Oct. 2015).

• 2. La conjetura de Hodge para una variedad abeliana compleja, II Reunión de Matemáticos Mexicanos en el Mundo, (Guanajuato, Mexico - Dec. 2014).