I am an Associate Professor (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 (in Leeds, 4th-8th August 2014): course webpage
- Classes
- Applied Probability (Michaelmas Term 2014): course webpage
- Tutorials
- I give tutorials on Prelims Probability, Prelims Statistics, Prelims Optimisation, Part A Probability, Part A Statistics and Part A Graph Theory 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 and masters dissertations for the MSc in Applied Statistics.
- In 2013, I supervised Benjamin Scellier of École polytechnique for his stage de M1.
- Lectures
- Brief academic 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 March 2011 as professeur invité at Université Paris-Sud (Orsay) and February 2014 as professeur invité at Univeristé Paris-Dauphine.
- 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]*Behavior near the extinction time in self-similar fragmentations II: Finite dislocation measures*, with Bénédicte Haas (2013), Annals of Probability, to appear. [.pdf, arXiv 1309.5816]*A line-breaking construction of the stable trees*, with Bénédicte Haas, Electronic Journal of Probability**20**(2015), Paper no. 16, pp.1-24. [.pdf, arXiv 1407.5691]*The Brownian continuum random tree as the unique solution to a fixed point equation*, with Marie Albenque. [arXiv 1504.05445]
- 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
- Postdoc and students
- Simon Griffiths (postdoc, jointly with James Martin and Ben Hambly)
- Dominic Yeo (DPhil student, jointly supervised by James Martin)
- Eleonora Kreacic (DPhil student, jointly supervised by James Martin)
Some mathematical links can be found on my maths page and some non-work links can be found on my personal page. |

Mail to goldschm at stats.ox.ac.uk

Last modified: 22nd April 2015.