I am currently a Research Associate in the Deep Mathematical Theory of Selfish Genes, in the St John's Research Centre, St John's College, Oxford. This is the "formal darwinism" project, which aims to describe Darwin's theory of evolution in a rigorous mathematical framework. The other members of the project are Alan Grafen, Charles Batty, and Paul Crewe.
My background is entirely pure mathematics: my mathematical research interests are in real analysis, in particular geometric measure theory, calculus of variations, and partial regularity problems. My PhD thesis was on Tonelli's partial regularity theorem for one-dimensional variational problems, and the existence of singular minimizers.
I was born in Middlesbrough, UK, and grew up in Teesside and North Yorkshire. I went to Yarm Preparatory School, then onto Yarm School. I read Mathematics and Philosophy at Magdalen College, Oxford, gaining my MMathPhil in 2007, then moved to the University of Warwick for my PhD, with supervisor David Preiss. I completed my thesis in 2011.
5. R. Gratwick. Singular sets and the Lavrentiev phenomenon, (Preprint, 2013), available here.
4. P. Crewe, R. Gratwick, A. Grafen. Defining fitness in an uncertain world, (Preprint, 2013).
3. C.J.K. Batty, P. Crewe, A. Grafen, R. Gratwick. An individual fitness maximization principle in a class-structured population under uncertainty, (Submitted, 2012).
2. R. Gratwick. Universal singular sets and unrectifiability, Z. Anal. Anwend, 32(2), (2013), 179-197, an earlier pdf is available here.
1. R. Gratwick and D. Preiss. A one-dimensional variational problem with continuous Lagrangian and singular minimizer, Arch. Ration. Mech. Anal., 202(1), (2011), 177-211, final article is available from Springer here.
I have played the violin since I was seven, learning under Martin Bainbridge, ex-leader of the London Festival Ballet Orchestra, for fifteen years, then with Roger Coull, leader of the Coull Quartet, quartet-in-residence at the University of Warwick. I play regularly with the Oxford Spezzati Orchestra, and have performed as a concerto soloist with them and other orchestras.
I am always happy to organize string quartets for events such as weddings, dinners, etc., usually with my friend the fine violinist and teacher Siân Mitchell, please do get in touch for more information.