Professor of Probability
Tutorial Fellow at Lady Margaret Hall
I did my undergraduate and masters degree in Mathematics at Cambridge, where I remained to do my PhD in the Statistical Laboratory under the supervision of James Norris. I then spent a year working as a postdoc in the Laboratoire de Probabilités et Modèles Aléatoires at Université Paris VI with Jean Bertoin. From 2004 to 2007, I was the Stokes Fellow in Mathematics at Pembroke College, Cambridge. From 2007 to 2009, I held an EPSRC Postdoctoral Fellowship in the Department of Statistics at Oxford and a Junior Research Fellowship at Wolfson College. From 2009-2011, I was an Assistant Professor in the Department of Statistics at Warwick, before returning to Oxford to take up my present position. Since January 2016 I have been the holder of an EPSRC Early Career Fellowship.
Random discrete structures, in particular random trees and graphs and their scaling limits; combinatorial stochastic processes, including processes of coagulation and fragmentation. Please see my personal homepage for more about my research and my publications.
- Random recursive trees and the Bolthausen-Sznitman coalescent, with James Martin, Electronic Journal of Probability, 10 (2005), Paper no. 21, pp. 718-745.
- Behavior near the extinction time in self-similar fragmentations I: The stable case, with Bénédicte Haas, Annales de L’Institut Henri Poincaré (Probabilités et Statistiques) 46, 2 (2010), pp. 338-368.
- Critical random graphs: limiting constructions and distributional properties, with Louigi Addario-Berry and Nicolas Broutin, Electronic Journal of Probability, 15 (2010), Paper no. 25, pp. 741-775.
- The continuum limit of critical random graphs, with Louigi Addario-Berry and Nicolas Broutin, Probability Theory and Related Fields, 152, 3-4 (2012), pp. 367-406.
- Behavior near the extinction time in self-similar fragmentations II: Finite dislocation measures, with Bénédicte Haas, Annals of Probability, 44, 1 (2016), pp. 739-805.
- The scaling limit of the minimum spanning tree of the complete graph, with Louigi Addario-Berry, Nicholas Broutin and Grégory, Annals of Probability, 45, 5 (2017), pp. 3057-3144.