Mathematics

This is Martin Bright's mathematical home page.

I am a member of 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.

Teaching

In the spring of 2018 I am teaching Algebra 3 in Leiden, and the Mastermath course Elliptic Curves, with Marco Streng.

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, now available here.

Look me up on Google Scholar or MathSciNet.

Conferences and workshops

Where I will be

• 2–4 May 2018: K3 surfaces and Galois representations, Shepperton, UK
• 7–11 May 2018: An Algebraic Approach to Multilinear Maps for Cryptography, Banff, Canada
• 28 May–1 June 2018: Rational and Integral Points via Analytic and Geometric Methods, Oaxaca, Mexico
• 2–6 July 2018: Rational Points on Schiermonnikoog, Schiermonnikoog, Netherlands

Where I have been

• 23–27 October 2017: Constructing cryptographic multilinear maps, AIM, San José, California, USA
• 9–13 October 2017: Topics in Arithmetic and Algebraic Geometry, Mainz, Germany
• 11–15 September 2017: Diophantine Problems (DIOP), Manchester, UK
• 3–7 July 2017: Rational Points 2017, Schney, Germany
• 7–9 June 2017: Journées Algophantiennes Bordelaises 2017, Bordeaux, France
• 26–30 September 2016: Rational Points and Algebraic Geometry, CIRM, Luminy, France
• 4–8 April 2016: Explicit Methods in Number Theory: conference in honour of John Cremona's 60th birthday, Warwick, UK
• 28 June–5 July 2015: Rational Points 2015, Schney, Germany
• 25–29 May 2015: Rational Points / Pontos Racionais at IMPA, Rio de Janeiro
• 12–16 May 2014: Workshop on Rational and integral points on higher-dimensional varieties at the American Institute of Mathematics in Palo Alto, Califorinia
• March 2014: Visiting the Mathematics Institute at the University of Warwick, Coventry, UK
• March 2014: Visiting the Department of Mathematics at the University of Bristol, UK
• February 2014: Visiting the Department of Mathematics at Rice University, Houston, Texas

Things I have organised

• In July 2018, Jan Steffen Müller, Damaris Schindler, Arne Smeets and I are organising Rational Points on Schiermonnikoog.
• Since September 2016, Peter Bruin and I have organised the Leiden algebra, geometry and number theory seminar.
• From Easter 2010 to summer 2011 I organised the Warwick number theory seminar.
• Ronald van Luijk, Damiano Testa and I gave an instructional workshop on the geometry and arithmetic of surfaces at Warwick in April 2008, organised by Samir Siksek and ourselves.
• Tim Browning and I organised Diophantine Equations via Analytic Number Theory (DEViANT), 9–12 July 2007, Bristol.

Other resources

My PhD research (2002) involved doing some computations on diagonal quartic surfaces. Here are some bits of code and results.