Christina Goldschmidt

I am an Assistant Professor in the Department of Statistics at the University of Warwick. Until the end of March 2010, I am the holder an EPSRC Postdoctoral Fellowship. I recently moved to Warwick from the Department of Statistics at the University of Oxford, where from 2007 to 2009 I did the first part of my fellowship.

I did all of my studies at New Hall (now Murray Edwards College), University of Cambridge. I did my Ph.D. in the Statistical Laboratory with James Norris. I then spent a year (2003-4) 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.

My office is C1.18 in the Zeeman Building and my telephone number is 024 7615 0920 (or 50920 from within the university). My official departmental webpage.

Probability at Warwick (P@W), MASDOC

I am co-organising this summer's P@W Young Researchers Workshop, 19th-23rd July 2010.

Information about my teaching can be found on my teaching page. Some mathematical links can be found on my maths page and some non-work links can be found on my personal page.

Research

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 mostly working on processes of coagulation (or coalescence) and fragmentation. Random trees and branching processes have played a large part in this research. I am particularly interested in the problem of duality for coagulation and fragmentation: when is the time-reversal of a coagulation process a "nice" fragmentation? 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.

Reading group on Combinatorial Optimization and Statistical Physics.

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.

Papers and articles

Research papers:

1. Essential edges in Poisson random hypergraphs, with James Norris, Random Structures and Algorithms 24, 4 (2004) pp.381-396
   [.ps.gz (85kb), arXiv math.PR/0401143].
2. Critical random hypergraphs: the emergence of a giant set of identifiable vertices, Annals of Probability 33, 4 (2005) pp.1573-1600
   [.ps.gz (133kb), arXiv math.PR/0401208].
3. 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 (90kb), arXiv math.PR/0408128].
4. Random recursive trees and the Bolthausen-Sznitman coalescent, with James Martin, Electronic Journal of Probability, 10 (2005), Paper no. 21, pp.718-745
   [.ps.gz (186kb), arXiv math.PR/0502263].
5. Preservation of log-concavity on summation, with Oliver Johnson, ESAIM: Probability and Statistics 10 (2006) pp.206-215
   [.pdf (135kb), arXiv math.PR/05025848].
6. 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 (178kb), arXiv math.PR/0507591].
7. 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.
   [.ps.gz (221kb), arXiv 0706.2808, extended abstract]
8. Fragmenting random permutations, with James Martin and Dario Spanò, Electronic Communications in Probability 13 (2008), Paper no. 44, pp.461-474.
   [.pdf (146kb), arXiv 0712.0556]
9. Behavior near the extinction time in self-similar fragmentations I: the stable case, with Bénédicte Haas, to appear in Annales de l'Institut Henri Poincaré (2009)
   [.pdf (769kb) arXiv 0805.0967]
10. The continuum limit of critical random graphs, with Louigi Addario-Berry and Nicolas Broutin (2009)
    [.pdf (587kb), arXiv 0903.4730]
11. Critical random graphs: limiting constructions and distributional properties, with Louigi Addario-Berry and Nicolas Broutin (2009)
    [.pdf (454kb), arXiv 0908.3629]

My co-authors: Louigi Addario-Berry, Anne-Laure Basdevant, Jean Bertoin, Nicolas Broutin, Rui Dong, Bénédicte Haas, Olly Johnson, James Martin, James Norris, Dario Spanò.
My Erdős number is 4.