Jonathan Love
I am a postdoctoral researcher studying computational number theory and arithmetic geometry at Leiden University. I received a Ph.D. in June 2021 from Stanford University, where I was supervised by Akshay Venkatesh, Dan Boneh, and Ravi Vakil. From 2021-2024 I was a CRM-ISM postdoctoral researcher at McGill University.| Email: | j.r.love [at] math.leidenuniv.nl |
My CV
Research
Publications
1. Hyperelliptic curves mapping to abelian varieties and applications to Beilinson's Conjecture for zero-cycles: DOI, arXivJoint with Evangelia Gazaki. Advances in Mathematics, Vol. 487, Published online (2026), 38 pgs.
2. Supersingular elliptic curves, quaternion algebras and applications to cryptography: DOI, arXiv
Joint with Eyal Goren. NATO Science for Peace and Security Series - D: Information and Communication Security, Vol. 66: Abelian Surfaces and Isogeny-based Cryptography (2025) pp. 123-200.
3. Rational configuration problems and a family of curves: DOI, arXiv
Journal of Number Theory, Vol. 269 (2025) pp. 370-396.
4. On elements of prescribed norm in maximal orders of a quaternion algebra: DOI, arXiv
Joint with Eyal Goren. Canadian Journal of Mathematics, Vol. 77, Issue 6 (2025), pp. 1938-1965.
5. Torsion phenomena for zero-cycles on a product of curves over a number field: DOI, arXiv
Joint with Evangelia Gazaki. Research in Number Theory, Vol. 10, No. 35 (2024), 19 pgs.
6. Root Numbers of a Family of Elliptic Curves and Two Applications: DOI, arXiv
Indagationes Mathematicae, Vol. 35, Issue 3 (2024) pp. 555-569.
7. Rational Equivalences on Products of Elliptic Curves in a Family: DOI, arXiv
Journal de Théorie des Nombres de Bordeaux, Vol. 32, No. 2 (2020) pp. 923-938.
8. Supersingular Curves With Small Non-integer Endomorphisms: DOI, arXiv, ANTS presentation
Joint with Dan Boneh. Proceedings of the Fourteenth Algorithmic Number Theory Symposium, ed. Steven D. Galbraith. The Open Book Series, Vol. 4, No. 1 (2020) pp. 7-22. Winner of the Selfridge Prize for best paper at ANTS-XIV.
Preprints
9. Hypersurfaces passing through the Galois orbit of a point: arXivJoint with Shamil Asgarli and Chi Hoi Yip. 27 pgs.
10. On ℓ-torsion in degree ℓ superelliptic Jacobians over Fq: arXiv
Joint with Wanlin Li and Eric Stubley. 35 pgs.
11. Local and local-to-global principles for zero-cycles on geometrically Kummer K3 surfaces: arXiv
Joint with Evangelia Gazaki. 27 pgs.
12. An Arithmetic Variant of Raynaud's Theorem: arXiv
Joint with Libby Taylor. 16 pgs.
Theses
Isogeny Graphs, Zero-cycles, and Modular Forms: Computations over Algebraic Curves and Surfaces (2021): Stanford LibrariesThesis, PhD in Mathematics at Stanford University. Supervised by Akshay Venkatesh, Dan Boneh, and Ravi Vakil.
Field Extensions Generated by Kernels of Isogenies (2016): U of T Libraries
Thesis, Master of Science at University of Toronto. Supervised by Jacob Tsimerman.