Christina Goldschmidt
Dr Christina Goldschmidt
+44 (0)1865 72860(Department)
+44 (0)1865 281224 (Direct)
Research interests
Random combinatorial structures (in particular random trees and graphs), combinatorial stochastic processes, coagulation, fragmentation, mathematical population genetics, random satisfiability problems.
About my research
Please see my personal homepage
Selected publications
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]
The continuum limit of critical random graphs, with Louigi Addario-Berry and Nicolas Broutin, Probability Theory and Related Fields, to appear (available Online First). [.pdf, arXiv 0903.4730]
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. [.pdf, arXiv 0805.0967]
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, extended abstract]
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]
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]
Random recursive trees and the Bolthausen-Szitman coalescent, with James Martin, Electronic Journal of Probability, 10 (2005), Paper no. 21, pp.718-745. [.pdf, arXiv math.PR/0502263]
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]
A full list of my publications is available on my personal homepage.
Biographical sketch
After studying Mathematics at New Hall, I did my Ph.D. in the Statistical Laboratory at the University of Cambridge, with 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 to 2011, I was an Assistant Professor in the Department of Statistics at Warwick, before returning to Oxford to take up my present position.
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