I am an Associate Professor in the Department of Mathematics at the University of California at San Diego. Before coming to UCSD in the fall of 2004, I got a Ph.D. in Statistics from the University of California at Berkeley in 2001, and then spent three years as an NSF postdoc in the Department of Mathematics at Cornell University.

I work in probability theory. Most of my research has been related to stochastic processes of coalescence and fragmentation. Some of this work has focused on applications of coalescent processes to genetics. I have also done some recent work with loop-erased random walks and uniform spanning trees. My research is supported in part by NSF Grants DMS-0504882 and DMS-0805472.

Address: Department of Mathematics, 0112; University of California, San Diego; 9500 Gilman Drive; La Jolla, CA 92093-0112
E-mail: jschwein@math.ucsd.edu
Office: 6157 Applied Physics and Mathematics

1. Prediction intervals for neural networks via nonlinear regression (with Richard De Veaux, Jennifer Schumi, and Lyle Ungar). Technometrics, 40 (1998), 273-282. Paper
2. A necessary and sufficient condition for the Λ-coalescent to come down from infinity. Electron. Comm. Probab., 5 (2000), 1-11. Paper
3. Coalescents with simultaneous multiple collisions. Electron. J. Probab., 5 (2000), 1-50. Paper
4. Applications of the continuous-time ballot theorem to Brownian motion and related processes. Stochastic Process. Appl., 95 (2001), 151-176. Paper
5. An O(n²) bound for the relaxation time of a Markov chain on cladograms. Random Struct. Alg., 20 (2002), 59-70. Paper
6. Conditions for recurrence and transience of a Markov chain on Z+ and estimation of a geometric success probability (with James P. Hobert). Ann. Statist. 30 (2002), 1214-1223. Paper
7. Coalescent processes obtained from supercritical Galton-Watson processes. Stochastic Process. Appl., 106 (2003), 107-139. Paper
8. Self-similar fragmentations and stable subordinators (with Grégory Miermont). Séminaire de Probabilités, XXXVII, Lecture Notes in Math., 1832, pp. 333-359, Springer, Berlin (2003).
9. Stability of the tail Markov chain and the evaluation of improper priors for an exponential rate parameter (with James P. Hobert and Dobrin Marchev). Bernoulli, 10 (2004), 549-564.
10. Approximating selective sweeps (with Rick Durrett). Theor. Popul. Biol. 66 (2004), 129-138. Paper
11. Alpha-stable branching and beta-coalescents (with Matthias Birkner, Jochen Blath, Marcella Capaldo, Alison Etheridge, Martin Möhle, and Anton Wakolbinger). Electron. J. Probab. 10 (2005), 303-325. Paper
12. Improving on bold play when the gambler is restricted. J. Appl. Probab. 42 (2005), 321-333. Paper
13. Random partitions approximating the coalescence of lineages during a selective sweep (with Rick Durrett). Ann. Appl. Probab. 15 (2005), 1591-1651. Paper
14. A coalescent model for the effect of advantageous mutations on the genealogy of a population (with Rick Durrett). Stochastic Process. Appl. 115 (2005), 1628-1657. Paper
15. Power laws for family sizes in a duplication model (with Rick Durrett). Ann. Probab. 33 (2005), 2094-2126. Paper
16. Beta-coalescents and continuous stable random trees (with Julien Berestycki and Nathanaël Berestycki). Ann. Probab. 35 (2007), 1835-1887. Paper
17. Small time properties of beta coalescents (with Julien Berestycki and Nathanaël Berestycki). Ann. Inst. H. Poincaré Probab. Statist. 44 (2008), 214-238. Paper
18. Spatial and non-spatial stochastic models for immune response (with Rinaldo B. Schinazi). Markov Process. Related Fields 14 (2008), 255-276.
19. A contact process with mutations on a tree (with Thomas M. Liggett and Rinaldo B. Schinazi). Stochastic Process. Appl. 118 (2008), 319-332. Paper
20. Loop-erased random walk on finite graphs and the Rayleigh process. J. Theoret. Probab. 21 (2008), 378-396. Paper
21. Waiting for m mutations. Electron. J. Probab. 13 (2008), 1442-1478. Paper

1. The loop-erased random walk and the uniform spanning tree on the four-dimensional discrete torus. To appear in Probab. Theory Related Fields. Paper
2. A waiting time problem arising from the study of multi-stage carcinogenesis (with Rick Durrett and Deena Schmidt). To appear in Ann. Appl. Probab. Paper

• "A coalescent model for the effect of advantageous mutations on the genealogy of a population", Paris, September 2007. Slides
• "Beta coalescents and populations with large family sizes", Oberwolfach, September 2007. Slides
• "The loop-erased random walk and the uniform spanning tree on the four-dimensional discrete torus", San Diego, January 2008. Slides
• "A waiting time problem arising from the study of multi-stage carcinogenesis", UCSD, February 2008. Slides