Between 2017 and 2021, I was a PhD student in Number Theory at Warwick supervised by Prof. Samir SiksekLink opens in a new window. On this page you can find links to my work.
2021: Elliptic curves over totally real quartic fields not containting root 5 are modular (arXivLink opens in a new window), published in Transactions of the American Mathematical Society.
2021: Cubic and quartic points on modular curves using generalised symmetric Chabauty (arXivLink opens in a new window), joint with Stevan Gajović and Pip Goodman, published in International Mathematics Research Notices.
2021: Computing models for quotients of modular curves (arXivLink opens in a new window), published in Research in Number Theory.
2020: Bounding integral points on the Siegel modular variety A_2(2) (arXiv), joint with Samuel le Fourn.
2019: Quadratic points on modular curves with infinite Mordell--Weil group (arXivLink opens in a new window), published in Mathematics of Computation.
2021: Low degree points on modular curves, PhD thesis (pdfLink opens in a new window)
2018: PhD first year report (pdfLink opens in a new window)
2017: Height Bounds for Mordell equations using Modularity (master's thesis under the supervision of Dr. Sander Dahmen, pdf Link opens in a new window)
2016: Bounded Intervals Containing Primes (Part III essay under the supervision of Dr. Adam Harper, pdf ).
2014: An Introduction to Skolem's p-adic Method for solving Thue Equations (Bachelor's thesis under the supervision of Dr. Sander Dahmen, pdf ).
Slides for the talk I gave in Bristol on May 6, 2020: hereLink opens in a new window.
A video of my online talk at BIRS on September 4, 2020: hereLink opens in a new window.
E-mail: firstnamelastname *at* msn dot com.