Mathematics
This is Martin Bright's mathematical home page.
I am an associate professor (universitair hoofddocent) at the Mathematisch
Instituut at the University of
Leiden in the Netherlands.
I work in the area of Diophantine equations and
arithmetic geometry, specifically on the Brauer–Manin
obstruction and related questions about rational points on varieties.
Together with Valentijn Karemaker, Ronald van Luijk, Steffen Müller, Marta Pieropan and Cecília Salgado, I am part of the Rational Points consortium supported by an XL grant from the NWO.
Teaching
In 2023–24 I am teaching Lineaire
Algebra 1 and the Mastermath course Advanced Algebraic Geometry: Rational Points
(with Ronald van Luijk).
Lecture notes: Descent by 2-isogeny (following Cassels). (Corrections welcome!)
Articles
Here is a list of my publications
and preprints, together with slides from some talks.
Notes from the Autumn School in Mainz, October 2017 are available here.
Look me up on Google Scholar
or MathSciNet.
Book
A draft version of some chapters from the book Geometry and Arithmetic of Surfaces,
which I am writing together with Ronald van Luijk and Damiano Testa, is
available here.
Conferences and workshops
Where I will be
Where I have been
- 11–15 September 2023: WAARP workshop, University of Bristol
- 25–29 April 2022: Rational
Points on Higher-Dimensional Varieties, ICMS, Edinburgh
- 20–24 September 2021: Arithmetic Statistics and Local-Global Principles, Erwin Schrödinger Institute, Vienna
- 17–19 May 2021: Memorial
conference for Sir Peter Swinnerton-Dyer, Newton Institute, Cambridge
- 21 March–30 April 2021: Programme on Number Theory, Institut Mittag-Leffler, Djursholm
- 14–20 July 2019: Rational Points 2019, Schney, Germany
- 29 April–12 July 2019: À la Redécouverte des Points Rationnels, Institut Henri Poincaré, Paris
- 2–6 July 2018: Rational Points on Schiermonnikoog, Schiermonnikoog, Netherlands
- 28 May–1 June 2018: Rational and Integral Points via Analytic and Geometric Methods, Oaxaca, Mexico
- 7–11 May 2018: An
Algebraic Approach to Multilinear Maps for Cryptography, Banff, Canada
- 2–4 May 2018: K3 surfaces and Galois representations, Shepperton, UK
Things I have organised
Other resources
My PhD research (2002) involved doing some computations on diagonal
quartic surfaces. Here are
some bits of code and
results.
Martin Bright
Last modified: 29 November 2023