I am a fourth year DPhil student at the University of Oxford working on rational points on higher genus curves under the supervision of Professor Victor Flynn. In particular, I study descent methods on Jacobians of higher genus curves. I also work on rational points on K3 surfaces. After attending the 2015 Arizona Winter School, I have collaborated with Florian Bouyer, Edgar Costa, Dino Festi and Mckenzie West on a project to determine the Galois module structure of the Picard lattice of a family of K3 surfaces.
Junior number theory talksThese are talks that I have given at the Oxford Junior Number Theory Seminar. Large rational torsion High descent on jacobians of curves
Abelian varieties study groupI organised a study group in abelian varieties in 2016. Here are three of my talks from that. Basic definitions Theorem of the cube Dividing varieties by finite groups
CNTA Poster 2016I gave a poster at the 2016 CNTA conference. An explicit embedding of the Kummer variety of genus three superelliptic curves
YRM 2015A talk I gave at the 2015 YRM (Young Researcher's in Mathematics) conference. Descent methods on jacobians of higher genus curves
Galois PodcastI also appeared on an 'In Our Spare Time' podcast about Galois theory: Evariste Galois
Machine LearningI am also interested in machine learning, and have done two internships at MathWorks in the machine learning group, working on convolutional neural networks. In my spare time I have worked on deep reinforcement learning. My github site My github blog A talk I gave at a graduate reading group in machine learning (aimed at a non-technical audience): An Introduction to Machine Learning and Neural Networks
Andrew Wiles Building Radcliffe Observatory Quarter Woodstock Road Oxford OX2 6GG