Martin Orr

I am a post-doctoral research associate in mathematics at Imperial College London.

Research Interests

My main interest is in arithmetic algebraic geometry. Most of my work is on unlikely intersections in Shimura varieties, for example the André-Oort and Zilber-Pink conjectures. I am also interested in abelian varieties and the Mumford-Tate conjecture.

Teaching

Algebraic Geometry. 2016-7: notes and problem sheets, 2017-8: course outline.

Shimura Varieties: In Autumn 2014, Andrei Yafaev and I taught a graduate course on Shimura Varieties for the London School of Geometry and Number Theory. An outline of the course and the problem sheets can be found on the course web page.

Papers and preprints

Other publications

Blog

I write a blog with expositions on pieces of maths which interest me. Currently it is rarely updated.

The best part of the blog is the series on abelian varieties and topics related to the Mumford-Tate conjecture and absolute Hodge classes. This now has its own series index.

Outline CV

July 2015 - present Post-doctoral research associate, Imperial College London
Supervisor: Alexei Skorobogatov
Funded by EPSRC grant EP/M020266/1  Brauer-Manin obstruction, K3 surfaces and families of twists of abelian varieties
2013 - 2015 Post-doctoral research associate, University College London
Supervisor: Andrei Yafaev
Funded by ERC grant 307364  Some Problems in Geometry of Shimura Varieties
2010 - 2013 PhD student, Université Paris Sud
Supervisor: Emmanuel Ullmo
Funded by the Doctoral School of Mathematics Paris Sud

Outreach activities

Each year since 2008 I have been a tutor at the UKMT National Mathematics Summer School. This is a five-day residential summer school for students aged 15 and 16. It is a nice opportunity to introduce able students to mathematics beyond the school curriculum, and especially how to think like a mathematician. Topics I have taught include inequalities, cyclic quadrilaterals, the pigeonhole principle, and graph theory.

I am a marker for the British Mathematical Olympiad and the UK Mathematical Olympiad for Girls, both organised by the United Kingdom Mathematics Trust.

During my PhD in Orsay, I participated as a jury member and team leader in the Tournoi Français de Jeunes Mathématicien(ne)s (2012 and 2013) and in the International Tournament of Young Mathematicians (2012). In these competitions, students in their final year of secondary school work in teams of five over a period of several months to solve open-ended problems set by the organisers, and then present their work at a regional, national or international event.

Photo of Martin Orr

Department of Mathematics
Imperial College London
South Kensington Campus
London
SW7 2AZ
United Kingdom

Office: 681, Huxley Building

m.orr@imperial.ac.uk