My research interests lie in arithmetic geometry phenomena in mixed characteristic. More precisely, the study of the Brauer-Manin obstruction on varieties, with particular emphasis on K3 surfaces.
In my master thesis I studied strong approximation on some punctured affine cones.
Articles:
The role of primes of good reduction in the Brauer–Manin obstruction (July 2023, https://arxiv.org/abs/2307.16030, to appear on Algebra & Number Theory)
A survey of local-global methods for Hilbert's tenth problem, Women in Numbers Europe 4, Association for Women in Mathematics Series, Springer, https://arxiv.org/abs/2309.14987. Joint work with Sylvy Anscombe, Valentijn Karemaker, Zeynep Kisakürek, Vlerë Mehmeti and Laura Paladino.
An example of a Brauer–Manin obstruction to weak approximation at a prime with good reduction (Research in Number Theory, September 2022, https://link.springer.com/article/10.1007/s40993-022-00353-6#citeas).
Preprint:
Wild Brauer classes via prismatic cohomology, joint with Emiliano Ambrosi and Rachel Newton (available here).
PhD Thesis:
The wild Brauer-Manin obstruction on K3 surfaces (July 2024, available here).
Master Thesis:
Strong approximation on some punctured affine cones (July 2020, available here).