K3surfaces.com

Computer-based algorithmic approach to the study of K3 surfaces

July 2022

I am Cédric Mazet, PhD, temporary teaching and research fellow at AMU’s math department. My PhD thesis, defended on June 30, 2022, was produced under the direction of Prof. Xavier Roulleau at AMU’s doctoral school of Mathematics and Computer Science.

This website, launched in April 2022, is an online platform dedicated to the content produced during my PhD thesis

A computer-based algorithmic approach
to the study of automorphism groups,
orbits of smooth rational curves,
unirationality & projective models
of K3 surfaces

which can also be referred to, more concisely, as

A computer-based algorithmic approach
to the study of K3 surfaces


I would like to express my profound gratitude to the reviewers of my thesis,

Alice Garbagnati

and

Davide Cesare Veniani

for their work, time and positive feedback.


This thesis project primarily builds on the work of Ichiro Shimada, the founding father of the computer-based algorithmic approach to the study of $K3$ surfaces.