Math @ Duke

Richard T. Durrett, James B. Duke Professor
 Contact Info:
Office Location:  105 Physics Building, Box 90320, Durham, NC 277080320  Office Phone:  (919) 6606970  Email Address:   Web Page:  http://www.math.duke.edu/~rtd/  Teaching (Fall 2017):
 MATH 541.01, APPLIED STOCHASTIC PROC
Synopsis
 Old Chem 116, WF 01:25 PM02:40 PM
 (also crosslisted as STA 621.01)
 Education:
Ph.D.  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.
 Keywords:
Mathematical Concepts • Models, Biological • Models, Statistical • Models, Theoretical • Population Dynamics • Probability
 Curriculum Vitae
 Current Ph.D. Students
(Former Students)
 Chris Varghese
 Junchi Li
 Yuan Zhang
 Postdocs Mentored
 Anirban Basak (2014  present)
 Marc Ryser (January, 2012  present)
 David Herzog (20112014)
 Andreas Aristotelous (20112014)
 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
 Michael Lin (Summer 2014)
He studied a four species evolutionary game that had previously been studied by Basanta, Scott, Rockne, Sanson and Anderson. He made good progress at mapping out the phase diagram, showing that some of the results in the paper were not correct.  Luxi Wei (Fall 2013 Spring 2014)
In the Fall of 2013, she read papers on modeling credit risk in preparation for writing a senior thesis, which she completed in the Spring of 2014. She graduated with distinction at the end of that semester.  Anne Talkington (Summer 2013  Summer 2016)
In the summer of 2013 she studied models for cancer growth as part of the math biology RTG. During the 20132014 academic year we developed the research into a paper that has recently been accepted by the Bulletin of Mathematical Biology. She will graduate at the end of the Fall 2015 term but will stay around to do research with me in the Spring.  Kaveh Danesh (20112013)
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, Spring 2014)
Math Bio RTG participant. Studied spatial versions of evolutionary game models in cancer. In the Spring of 2014 he wrote up this work as an honors thesis and graduated with distinction.  Conrad de Peuter (Spring 2013)
His honors thesis was "Using Markov renewal processes to model basketball games." He went to work at ESPN after graduation but later learned that a job that involve watching lots of basketball was not the dream it sounded like. He is now applying to graduate school in statistics.  Willie Zheng (Spring 2013)
Supervised his honors thesis in Math. Upon graduation he enrolled in an MD/PhD program at Washington U. St. Louis.
 Representative Publications
(More Publications)
 Aristotelous, AC; Durrett, R, Chemical evolutionary games.,
Theoretical Population Biology, vol. 93
(May, Submitted, 2014),
pp. 113, ISSN 00405809 [doi] [abs]
 Shi, F; Mucha, PJ; Durrett, R, Multiopinion coevolving voter model with infinitely many phase transitions,
Physical Review E  Statistical, Nonlinear, and Soft Matter Physics, vol. 88 no. 6
(December, Accepted, 2013), ISSN 15393755 [doi]
 R. Durrett and S. Moseley, Spatial Moran Models. I. Tunneling in the Neutral Case,
Annals Applied Probability
(Accepted, 2013)
 Varghese, C; Durrett, R, Phase transitions in the quadratic contact process on complex networks,
Physical Review E  Statistical, Nonlinear, and Soft Matter Physics, vol. 87 no. 6
(2013),
pp. paper 062819, ISSN 15393755 [doi] [abs]
 Danesh, K; Durrett, R; Havrilesky, LJ; Myers, E, A branching process model of ovarian cancer.,
Journal of Theoretical Biology, vol. 314
(2013),
pp. 1015 [22959913], [doi] [abs]
 Durrett, R; Gleeson, JP; Lloyd, AL; Mucha, PJ; Shi, F; Sivakoff, D; Socolar, JES; Varghese, C, Graph fission in an evolving voter model.,
Proceedings of the National Academy of Sciences of USA, vol. 109 no. 10
(March, 2012),
pp. 36823687 [22355142], [doi] [abs]
 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)
 Durrett, R; Remenik, D, Evolution of dispersal distance,
Journal of Mathematical Biology, vol. 64 no. 4
(2012),
pp. 657666, ISSN 03036812 [doi] [abs]
 Chatterjee, S; Durrett, R, Asymptotic behavior of Aldous' gossip process,
The annals of applied probability : an official journal of the Institute of Mathematical Statistics, vol. 21 no. 6
(2011),
pp. 24472482, ISSN 10505164 [math.PR/1005.1608], [doi] [abs]
 Durrett, R, Population genetics of neutral mutations in exponentially growing cancer cell populations,
Annals of Applied Probability, vol. 23
(2012),
pp. 230250
 Cox, JT; Durrett, R; Perkins, E, Voter model perturbations and reaction diffusion equations,
Asterique, vol. 349
(2013),
pp. 1113 [math.PR/1103.1676]
 Durrett, R; Foo, J; Leder, K; Mayberry, J; Michor, F, Intratumor heterogeneity in evolutionary models of tumor progression,
Genetics, vol. 188 no. 2
(2011),
pp. 461477, ISSN 00166731 [doi] [abs]
 Durrett, R; Moseley, S, Evolution of resistance and progression to disease during clonal expansion of cancer,
Theoretical Population Biology, vol. 77 no. 1
(2010),
pp. 4248, ISSN 00405809 [doi] [abs]
 Durrett, R; Foo, J; Leder, K; Mayberry, J; Michor, F, Evolutionary dynamics of tumor progression with random fitness values,
Theoretical Population Biology, vol. 78 no. 1
(2010),
pp. 5466, ISSN 00405809 [math.PR/1003.1927], [doi] [abs]
 Durrett, R, SPecial invited paper coexistence in stochastic spatial models,
The annals of applied probability : an official journal of the Institute of Mathematical Statistics, vol. 19 no. 2
(2009),
pp. 477496, ISSN 10505164 [MR2521876 (2010g:60213)], [doi] [abs]
 Durrett, R; Schmidt, D, Waiting for two mutations: With applications to regulatory sequence evolution and the limits of Darwinian evolution,
Genetics, vol. 180 no. 3
(2008),
pp. 15011509, ISSN 00166731 [doi] [abs]
 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
 Collaborative Research: The role of spatial interactions in determining the distribution of savanna and forest, National Science Foundation, DMS1614978, 2016/092019/08.
 Mathematical Analysis of Spatial Cancer Models, National Science Foundation, 1614838, 2016/072019/06.
 Interacting Particle Systems on Lattices and on Graphs, National Science Foundation, 1505215, 2015/082018/07.
 Stochastic Spatial Models: on Complex Networks, Coevolution, and Modeling Cancer, National Science Foundation, DMS 1331778, 2013/092015/08.
 Biodiversity and Evolution  Support for US Participants, National Science Foundation, DMS 1305997, 2013/092015/08.
 Mathematical Models of Cancer Initiation, Progression, and Resistance to Therapy, National Institutes of Health, 7R01GM09619002, 2010/072015/06.
 Conferences Organized
 member of the organizing committee : Evolutionary Biology and the Theory of Computing. 2014, member of the organizing committee : Evolutionary Biology and the Theory of Computing, 2012  May 2014
 Member of organzing committee : Mathematical Bioscience Institute year on Cancer and its Environment. 2014  2015, Member of organzing committee : MBI year on Cancer and its Environment, 201415
 Member of organizing committee : Southeastern Probability Conference., member of organizing committee : Southeastern Probability Conference, May, 2011  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
 Member of organizing committee : MBI year on Stochastics in Biological Systems. December 12, 2012, Member of organizing committee : MBI year on Stochastics in Biological Systems, Academic year 20112012
 Semester on Biodiversity and Evolution, member of organizing committee, July  December 2013
 member of organizing committee : Semester on Biodiversity and Evolution. July 2013  December 2012, member of organizing committee : Semester on Biodiversity and Evolution, July  December
 Workshop for Women in Probability. November 26, 2012, 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

