Math @ Duke

Rick Durrett, James B. Duke Professor of Mathematics and Director of Graduate Studies
 Contact Info:
Teaching (Spring 2015):
 MATH 641.01, PROBABILITY
Synopsis
 Physics 259, MWF 01:40 PM02:30 PM
 Education:
PhD  Stanford University  1976 
MS  Emory University  1973 
BS  Emory University  1972 
 Specialties:

Probability
 Research Interests:
Probability problems that arise from genetics and ecology, especially stochastic spatial models and cancer models. Random graphs and processes that take place on them.
 Curriculum Vitae
 Current Ph.D. Students
(Former Students)
 Postdocs Mentored
 David Herzog (20112014)
 Andreas Aristotelous (20112014)
 Marc Ryser (Jan 2012July 2015)
 David Sivakoff (20102012)
 John Mayberry (2008  2010)
 Soumik Pal (2006  2008)
 Lea Popovic (2005  2007)
 Paul Jung (2003  2007)
 Iljana Zahle (2002  2003)
 Jason Schweinsberg (2001  2004)
 Vlada Limic (2000  2003)
 Undergraduate Research Supervised
 Luxi Wei (Fall 2013)
In the Fall of 2013, she read papers on modeling credit risk in preparation for writing a senior thesis.  Anne Talkington (Summer and Fall 2013)
In the summer of 2013 she studied models for cancer growth as part of the math biology RTG. In Fall 2013 she continued to do research on this topic in an independent study  Kaveh Danesh (20112012)
In a collaboration with Evan Myers and Laura Havrilesky in the Duke Medical school, we worked on predicting the window of opportunity for ovarian cancer screening, resulting in a paper in J. Theor. Biol. Kaveh was a Fulbright Scholar studying cancer villages in China during 20132014, and is now in the Applied Math program. Since he is a student trustee I see him three times a year when they meet.  Yifei Chen (Summer 2011)
Participant in math bio RTG. His simulations were useful in improving a reuslt in my paper on population genetics of exponentially growing populations.  Aashiq Dheeraj (20122013)
Math Bio RTG participant. Studied spatial versions of evolutionary game models in cancer.  Conrad de Peuter (Spring 2013)
Using Markov renewal processes to model basketball games.  Willie Zheng (Spring 2013)
Supervised his honors thesis in Math.
 Representative Publications
(More Publications)
 C. Varghese and R. Durrett, Phase transition in the quadratic contact process on complex networks,
Physical Review E, vol. 87
(2013),
pp. paper 062819
 Feng Shi, Peter Mucha, and R. Durrett, Multiopinion coevolving voter model with infinitely many phase transitions,
Physical Review E
(Accepted, 2013)
 Andreas Aristotelos and R. Durrett, Chemical evolutionary games,
Theoretical Population Biology
(Submitted, 2013)
 K. Danesh, R. Durrett, L. Havrilesky, and E. Myers, A branching process model of ovarian cancer,
J. Theor. Biol., vol. 314
(2013),
pp. 1015
 J.T. Cox, R. Durrett, E. Perkins, Voter model perturbations and reaction diffusion equations,
Asterique, vol. 349
(2013),
pp. 1113 [math.PR/1103.1676]
 R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case,
Annals Applied Probability
(Accepted, 2013)
 R. Durrett, Phase transition in a metapopulation version of Schelling's model
(Submitted, 2012)
 R. Durrett, J. Foo, and K. Leder, Spatial Moran Models II. Tumor growth and progression
(Submitted, 2012)
 R. Durrett and D. Remenik, Evolution of dispersal distance,
J. Mathematical Biology, vol. 64
(2012),
pp. 657666
 R. Durrett, Population genetics of neutral mutations in exponentially growing cancer cell populations,
Annals of Applied Probability, vol. 23
(2012),
pp. 230250
 R. Durrett, J.P. Gleeson, A.L. Lloyd, P.J. Mucha, Feng Shi, D. Sivakoff, J.E.S. Socoloar, and C. Varghese, Graph fission in an evolving voter model,
Proceedings of the National Academy of Science, vol. 109
(2012),
pp. 36823687
 R. Durrett, J. Foo, K. Leder, J. Mayberry, and F. Michor, Intratumor heterogeneity in evolutionary models of tumor progression,
Genetics, vol. 188
(2011),
pp. 461477
 R. Durrett and Stephen Moseley, Evolution of resistance and progression to disease during clonal expansion of cancer,
Theor. Pop. Biol., vol. 77
(2010),
pp. 4248
 R. Durrett, J. Foo, K. Leder, J. Mayberry, and F. Michor, Evolutionary dynamics of tumor progression with random fitness values,
Theor. Pop. Biol., vol. 78
(2010),
pp. 5466 [math.PR/1003.1927]
 R. Durrett and Shirshendu Chatterjee, Asymptotic behavior of Aldous' gossip process,
Annals of Applied Probability, vol. 21
(2010),
pp. 24472482 [math.PR/1005.1608]
 R. Durrett, Special invited paper: Coexistence in stochastic spatial models,
The Annals of Applied Probability, vol. 19
(2009),
pp. 477496, ISSN 10505164 [MR2521876 (2010g:60213)]
 R. Durrett and Deena Schmidt, Waiting for two mutations with applications to regulatory sequence evolution and the limits of Darwinian evolution,
Genetics, vol. 180
(2008),
pp. 15101509
 Selected Invited Lectures
 IMS Wald Lectures, 2008
 Medallion Lecture SPA Paris, 2006
 St Flour Probability Summer School, 1993
 International Congress of Math, 1990, Kyoto
 Recent Grant Support
 Stochastic Spatial Models, National Science Foundation, DMS 1331778, 2013/092015/08.
 Biodiversity and Evolution  Support for US participants, National Science Foundation, DMS 1305997, 2013/092014/08.
 Mathematical Models of Cancer Initiation Progression and Reistance to Therapy, National Institutes of Health, 7R01GM09619002, 2010/072014/06.
 Workshop for Women in Probability  Participant Support, National Science Foundation, 2012/072013/07.
 Ecology, Evolution, and Random Graphs, National Science Foundation, DMS1057675, 2010/092013/07.
 Conferences Organized
 Evolutionary Biology and the Theory of Computing, member of the organizing committee, 2012  present
 MBI year on Cancer and its Environment, Member of organzing committee, Academic Year 20142015
 Southeastern Probability Conference, member of organizing committee, 2011, 2012, 2013, 2014
 MBI year on Stochastics in Biological Systems, Member of organizing committee, Academic year 20112012
 Semester on Biodiversity and Evolution, member of organizing committee, July  December 2013
 Workshop for Women in Probability, October 1416, 2012


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

