## Mathematics

I am currently a postdoctoral researcher in Jennifer Balakrishnanâ€™s group at Boston University. My research is funded by the Simons Foundation.

I work in Number Theory and Arithmetic Geometry, with a computational approach. Most of my research projects have included at least one of Sage, Magma, and PARI/GP, and some have used all three.

I also contribute to development of the *L-functions and modular forms database*.

### Papers (most recent first)

**Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville**, with Maarten Derickx. 2024. Submitted. arxiv
**Towards strong uniformity for isogenies of prime degree**, with Maarten Derickx. 2023. Submitted. arxiv
**Computing nonsurjective primes associated to Galois representations of genus 2 curves**, with Armand Brumer, Hyun Jong Kim, Zev Klagsbrun, Jacob Mayle, Padmavathi Srinivasan, and Isabel Vogt. arxiv. To appear, *LMFDB, Computation, and Number Theory (LuCANT)*, 2023.
**Modularity over C implies modularity over Q**. arxiv. To appear, *Modularity and the Generalised Fermat Equation*, 2022.
**Cyclic isogenies of elliptic curves over fixed quadratic fields**, with Filip Najman and Oana Padurariu. To appear, *Mathematics of Computation*, 2023. arxiv. Video
**Explicit isogenies of prime degree over number fields**, with Maarten Derickx. 2022. Submitted. arxiv
**Explicit isogenies of prime degree over quadratic fields**. With an appendix written jointly with Maarten Derickx. *International Mathematics Research Notices*, 2022. Journal link. arxiv. Video
**Examples of abelian surfaces failing the local-global principle for isogenies**. *Research in Number Theory*, 7(55), 2021. Journal link. arxiv
**Correction: Examples of abelian surfaces failing the local-global principle for isogenies**. *Research in Number Theory*, 8(98), 2022. Journal link.
**Del-pezzo surfaces over finite fields and their Frobenius traces**, with Francesc FitĂ© and Daniel Loughran. *Mathematical Proceedings of the Cambridge Philosophical Society*, 167(1), 35-60, 2019. Journal link. arxiv
**Tetrahedral elliptic curves and the local-global principle for isogenies**, with John Cremona. *Algebra and Number Theory*, 8(5), 1201-1229, 2014. Journal link. arxiv
**On some Local to Global Phenomena for Abelian Varieties**. PhD Thesis, University of Warwick, UK. 2013. University Link