I am a University Lecturer in the Department of Statistics and a Tutorial Fellow at Lady Margaret Hall in the University of Oxford.
My official departmental webpage and my official college one.
I am a member of the Probability Group in the Department of Statistics.
Find out more about research activity in Probability at Oxford.
- How to find my office/contact me
- My departmental office is 50.22 in the Medawar Building (number 37 on this map) and my telephone number is (01865) (2)81224.
- My college office is on the ground floor at the back of 2 Fyfield Road and my telephone number there is (01865) (2)74392.
- Teaching
- Lectures
- Prelims Probability (Michaelmas Term 2012): course webpage
- APTS Applied Stochastic Processes (at Warwick, 29th July-2nd August 2012): course webpage
- Classes
- Applied Probability (Michaelmas Term 2012): course webpage
- Tutorials
- I give tutorials on Prelims Probability, Prelims Statistics, Prelims Optimisation, Part A Probability and Part A Statistics to the LMH students. These are held in my LMH office, on the ground floor of 2 Fyfield Road.
- Supervision
- I act as a coursework supervisor for the MSc in Applied Statistics
- I supervise Part C projects for Mathematics and Statistics students.
- I am co-supervising Dominic Yeo's DPhil, with James Martin.
- Lectures
- Brief CV
- B.A. and M.Math. in Mathematics at New Hall (now Murray Edwards College), University of Cambridge.
- Ph.D. in the Statistical Laboratory, University of Cambridge, with James Norris.
- 2003-4: Postdoc in the Laboratoire de Probabilités et Modèles Aléatoires at Université Paris VI with Jean Bertoin.
- 2004-7: Stokes Fellow in Mathematics at Pembroke College, Cambridge.
- 2007-9: EPSRC Postdoctoral Fellowship in the Department of Statistics at the University of Oxford.
- 2009-11: Assistant Professor in the Department of Statistics at the University of Warwick.
- I spent the period from 8th March to 3rd April 2011 as professeur invité at Université Paris-Sud (Orsay).
- Research interests
- My research interests lie in probability and combinatorics. I wrote my Ph.D. thesis on various aspects of the structure of random hypergraphs, with particular emphasis on the use of stochastic process methods. More recently, I have been working on scaling limits for various random graphs. I have also worked extensively on processes of coagulation (or coalescence) and fragmentation. Random trees and branching processes have played a large part in this research. I am also interested in applications of coalescence theory to mathematical population genetics. In a rather different direction, I am interested in random satisfiability problems, such as random K-SAT.
- Essays and theses
- Published research papers and preprints
- Essential edges in Poisson random
hypergraphs, with James Norris, Random
Structures and Algorithms 24, 4 (2004) pp.381-396.
[.pdf, arXiv math.PR/0401143]. - Critical random hypergraphs: the
emergence
of a giant set of identifiable vertices, Annals of
Probability 33, 4 (2005) pp.1573-1600.
[.pdf, arXiv math.PR/0401208]. - Dual random fragmentation and
coagulation
and an application to the genealogy of Yule processes,
with Jean
Bertoin, in Mathematics and Computer Science III:
Algorithms, Trees, Combinatorics and Probabilities, M. Drmota,
P. Flajolet, D. Gardy, B. Gittenberger (Eds.) (2004) pp.295-308.
[.ps.gz, arXiv math.PR/0408128]. - Random recursive trees and the
Bolthausen-Sznitman coalescent, with James Martin,
Electronic
Journal of Probability, 10 (2005), Paper no. 21, pp.718-745.
[.pdf, arXiv math.PR/0502263, Oberwolfach report]. - Preservation of log-concavity on
summation, with Oliver Johnson, ESAIM:
Probability and Statistics 10 (2006) pp.206-215.
[.pdf, arXiv math.PR/05025848]. - Coagulation-fragmentation duality, Poisson-Dirichlet
distributions and random recursive trees, with Rui Dong and James
Martin, Annals of Applied
Probability, 16, 4 (2006) pp.1733-1750.
[.pdf, arXiv math.PR/0507591]. - Asymptotics of the allele frequency
spectrum associated with the Bolthausen-Sznitman
coalescent, with Anne-Laure Basdevant, Electronic
Journal of Probability 13 (2008), Paper no. 17,
pp.486-512.
[.pdf, arXiv 0706.2808, Oberwolfach report] - Fragmenting random permutations,
with James Martin and Dario Spanò,
Electronic
Communications in Probability 13 (2008), Paper no. 44, pp.461-474.
[.pdf, arXiv 0712.0556] - 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. (AIHP prized paper)
[.pdf, arXiv 0805.0967] - 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.
[.pdf, arXiv 0908.3629] - Quantum Heisenberg models and their probabilistic representations, with Daniel Ueltschi and Peter Windridge, Entropy and the Quantum II, Contemporary Mathematics 552 (2011), pp.177-224.
[.pdf, arXiv 1104.0983, Peter Windridge's simulation of Toth's random stirring model] - 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.
[.pdf, arXiv 0903.4730] - The scaling limit of the minimum spanning
tree of the complete graph, with Louigi
Addario-Berry, Nicolas Broutin and Grégory Miermont
(2013).
[.pdf, arXiv 1301.1664, Oberwolfach report]
- Essential edges in Poisson random
hypergraphs, with James Norris, Random
Structures and Algorithms 24, 4 (2004) pp.381-396.
- Slides from talks
- Slides from four lectures on random trees, random graphs and fragmentation processes given at Warwick in April 2009: Lecture 1, Lecture 2, Lecture 3, Lecture 4.
- Slides and the handout from a lecture course given at the Young European Probabilists' Workshop on ``Probability, Random Trees and Algorithms'', EURANDOM, 8th-12th March 2010.
- Slides from my talk at SPA in Oaxaca, 19th-24th July 2011.
- Slides from my Graduate Lecture in the Statistics Department, 7th Mrch 2013.
- Co-authors
- Students
- Dominic Yeo (DPhil student, jointly supervised by James Martin)
- Service
- Committee member of the recently-formed Royal Statistical Society Applied Probability Section.
- Associate editor of Stochastic Processes and their Applications.
Some mathematical links can be found on my maths page and some non-work links can be found on my personal page.
