Mathematics

I am currently a postdoctoral researcher in Jennifer Balakrishnan’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)

1. Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville, with Maarten Derickx. 2024. Submitted. arxiv
2. Towards strong uniformity for isogenies of prime degree, with Maarten Derickx. 2023. Submitted. arxiv
3. 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.
4. Modularity over C implies modularity over Q. arxiv. To appear, Modularity and the Generalised Fermat Equation, 2022.
5. Cyclic isogenies of elliptic curves over fixed quadratic fields, with Filip Najman and Oana Padurariu. To appear, Mathematics of Computation, 2023. arxiv. Video
6. Explicit isogenies of prime degree over number fields, with Maarten Derickx. 2022. Submitted. arxiv
7. 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
8. Examples of abelian surfaces failing the local-global principle for isogenies. Research in Number Theory, 7(55), 2021. Journal link. arxiv
9. Correction: Examples of abelian surfaces failing the local-global principle for isogenies. Research in Number Theory, 8(98), 2022. Journal link.
10. Del-pezzo surfaces over finite fields and their Frobenius traces, with Francesc Fité and Daniel Loughran. Mathematical Proceedings of the Cambridge Philosophical Society, 167(1), 35-60, 2019. Journal link. arxiv
11. 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
12. On some Local to Global Phenomena for Abelian Varieties. PhD Thesis, University of Warwick, UK. 2013. University Link