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Josha Box

Swiss Alps

About me

As of October 2017, I am a PhD student in Number Theory at Warwick under the supervision of Prof. Samir Siksek.

My origins lie in Amsterdam, where I completed my MSc in Mathematics in 2017 at the University of Amsterdam. In between the two MSc years, I took a year off to do Part III in Cambridge.

Research interests

I am broadly interested in rational points on modular varieties. Recently, I have been studying low degree points on modular curves and integral points on certain modular varieties.

Links to my work

2019: Quadratic points on modular curves with infinite Mordell--Weil group (arXiv) , accepted for publication in Mathematics of Computation.

2018: PhD first year report (pdf)

2017: Height Bounds for Mordell equations using Modularity (master's thesis under the supervision of Dr. Sander Dahmen, pdf  )

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: here.

Teaching

In Warwick, I taught MA3D5 Galois Theory and MA3A6 Algebraic Number Theory.

Before that, I have taught the courses Basiswiskunde, Analyse op de Lijn, Analyse van R naar R^n, Analyse op R^n, Algebra 1 and Training Internationale Studentenwiskundecompetitie at the University of Amsterdam. For the latter course, a preparation for the IMC, I have written lecture notes (in Dutch) together with Iris Smit.

Contact

E-mail: J.Box *at* warwick.ac.uk

My office in the maths department in Warwick is B0.15.