Research

My research interests involve the study of the Brauer-Manin obstruction to weak approximation on varieties, with particular emphasis on the case of K3 surfaces. I am particularly interested in the role that primes of good reduction can play in the Brauer-Manin obstruction. In my master thesis I studied strong approximation on some punctured affine cones. 

Articles: 

• An example of a Brauer–Manin obstruction to weak approximation at a prime with good reduction (September 2022, https://link.springer.com/article/10.1007/s40993-022-00353-6#citeas).

• A survey of local-global methods for Hilbert's tenth problem (accepted for publication in 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.

Preprints:

• The role of primes of good reduction in the Brauer–Manin obstruction (July 2023, https://arxiv.org/abs/2307.16030)

Master Thesis:

• Strong approximation on some punctured affine cones (July 2020, available here).