Status:
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Research interests:
Hyperbolic partial differential equations, mathematical General Relativity, conservation laws, kinetic theory
Further details:
Master's Thesis link:
https://www.academia.edu/31493011/THE_CAUCHY_PROBLEM_IN_GENERAL_RELATIVITY
Teaching:
Michaelmas term 2017: TA for C3.7 Elliptic Curves
Hilary term 2018, 2019: TA for B4.2 Functional Analysis II
Trinity term 2018: TA for EPSRC PDE CDT course on Hyperbolic Partial Differential Equations
Prizes, awards, and scholarships:
EPSRC award 2016-2020
Major / recent publications:
Book:
Thoughts behind the solution: An approach to Olympiad-Level Problem Solving
Foreword by Prof. Michael Lambrou
April 2018, Patakis Editions http://www.patakis.gr/viewshopproduct.aspx?id=743587
Papers:
Formation of singularities for the Relativistic Euler equations (joint with Shengguo Zhu),
https://arxiv.org/pdf/1903.03355v2.pdf
A scale-critical trapped surface formation criterion for the Einstein-Maxwell system (joint with Xinliang An),
https://arxiv.org/pdf/2005.12699.pdf
Construction of Cauchy data for the dynamical formation of apparent horizons and the Penrose Inequality (joint with Martin Lesourd),
https://arxiv.org/pdf/2009.03704.pdf