Photograph by Mari Kawakatsu

Jonathan Love

I am a CRM-ISM postdoctoral fellow studying computational number theory and arithmetic geometry at McGill University. I received a Ph.D. in June 2021 from Stanford University, where I was supervised by Akshay Venkatesh, Dan Boneh, and Ravi Vakil.

Email: jon [dot] love [at] mcgill [dot] ca
Office: Burnside Hall, Room 1248

My CV



Research Teaching Other Links

Research

Publications and Preprints

Local and local-to-global principles for zero-cycles on geometrically Kummer K3 surfaces: arXiv
Joint with Evangelia Gazaki.

On elements of prescribed norm in maximal orders of a quaternion algebra: arXiv
Joint with Eyal Goren.

Root Numbers of a Family of Elliptic Curves and Two Applications: DOI, arXiv
Indagationes Mathematicae, available online (2024)

Rational configuration problems and a family of curves: arXiv

Hyperelliptic curves mapping to abelian varieties and applications to Beilinson's Conjecture for zero-cycles: arXiv
Joint with Evangelia Gazaki.

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)

Rational l-torsion points on Jacobians of μl-covers (in preparation).
Joint with Wanlin Li and Eric Stubley.

An Arithmetic Variant of Raynaud's Theorem: arXiv
Joint with Libby Taylor.

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.

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.

Theses

Isogeny Graphs, Zero-cycles, and Modular Forms: Computations over Algebraic Curves and Surfaces (2021): Stanford Libraries
Thesis, 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.

Teaching

Past Teaching at McGill:

Past Teaching at Stanford:

* CA: "Course Assistant," responsible for office hours, grading, writing solutions, administrative tasks
** TA: "Teaching Assistant," responsible for running discussion sections with approximately 20 students (1-4 hours per week)

Past Teaching at University of Toronto:


Last Updated October 2023