Jef Laga's homepage

Jef Laga

I am a Research Associate at the University of Cambridge funded by the EPSRC. I recently submitted my PhD thesis under the supervision of Jack Thorne.
I am interested in arithmetic geometry, with a focus on arithmetic statistics of algebraic curves and abelian varieties.
I am applying for postdoctoral positions starting in Fall 2022. Here is my cv: [pdf]

You can send me an email: jcsl5(at)cam(dot)ac(dot)uk.

Preprints/Publications

Graded Lie algebras, compactified Jacobians and arithmetic statistics.
Preprint, based on my PhD thesis. [pdf]

Arithmetic statistics of Prym surfaces.
Preprint. [pdf] [arxiv]

The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3.
To appear in Algebra & Number Theory. [pdf] [arxiv]

• Michaelmas 2021 (Arakelov intersection theory on Shimura Varieties): [schedule]
• Lent-Easter 2021 (Automorphy lifting theorems): [schedule]
• Michaelmas 2020 (Mazur's torsion paper): [schedule]
• Lent-Easter 2020 (Weil II): following chapter I of this book
• Michaelmas 2019 (Average ranks of elliptic curves): following this paper
• Other notes

• Notes for a talk in this study group defining the etale homotopy type of a scheme with some examples: [pdf]
• Statement of the Bloch-Kato conjecture on special values of L-functions: [pdf]
• My Part III essay on Modular forms of weight one: [pdf]
• A simple plane curve over the p-adics with bad reduction but whose Jacobian has good reduction: $y^4+y^2=x^3+p^6&space;\quad&space;(p&space;\neq&space;2,3)$
• Miscellaneous

• Check out the Youtube channel Math-life balance, where Mura Yakerson interviews mathematicians in an interesting and personal way!
• Bjorn Poonen has great advice on mathematical writing, speaking and being a PhD student
• I strongly support Frederico Ardila's axioms