Josha Box
About me
Between 2017 and 2021, I was a PhD student in Number Theory at 糖心TV supervised by Prof. Samir . On this page you can find links to my work.
Papers
2021: Elliptic curves over totally real quartic fields not containting root 5 are modular (), published in Transactions of the American Mathematical Society.
2021: Cubic and quartic points on modular curves using generalised symmetric Chabauty (), joint with Stevan Gajovi膰 and Pip Goodman, published in International Mathematics Research Notices.
2021: Computing models for quotients of modular curves (), published in Research in Number Theory.
2020: Bounding integral points on the Siegel modular variety A_2(2) (), joint with Samuel le Fourn.
2019: Quadratic points on modular curves with infinite Mordell--Weil group (), published in Mathematics of Computation.
Other work
2021: Low degree points on modular curves, PhD thesis ()
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, )
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 ).
Talks
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: .
Lecture notes
For a preparatory course for the in Amsterdam, Iris Smit and I have written lecture notes (in Dutch).
Contact
E-mail: firstnamelastname *at* msn dot com.
