Jef Laga's homepage

## Jef Laga

I am a PhD student at the University of Cambridge under the supervision of Jack Thorne.
I am interested in arithmetic geometry, with a focus on algebraic curves and abelian varieties.

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

### Preprints/Publications

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 2020 (Mazur's torsion paper): link

### Other writing

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]

### Miscellaneous

A simple plane curve over the p-adics with bad reduction but whose Jacobian has good reduction: $y^4+y^2=x^3+p^6&space;\quad&space;(p&space;\neq&space;2,3)$

Check out the Youtube channel Math-life balance, where Mura Yakerson interviews mathematicians in an interesting and personal way!