# Richard Timothy Durrett

- James B. Duke Professor of Mathematics
- Professor of Mathematics

**External address:**105 Physics Building, Box 90320, Durham, NC 27708-0320

**Internal office address:**Dept of Math, Box 90320, Durham, NC 27708-0320

**Phone:**(919) 660-6970

### Research Areas and Keywords

##### Biological Modeling

##### Probability

Collaborative Research: The role of spatial interactions in determining the distribution of savanna and forest awarded by National Science Foundation (Principal Investigator). 2016 to 2019

Mathematical Analysis of Spatial Cancer Models awarded by National Science Foundation (Principal Investigator). 2016 to 2019

The Mathematics of Breast Cancer Overtreatment: Improving Treatment Choice through Effective Communication of Personalized Cancer Risk awarded by National Institutes of Health (Co-Mentor). 2016 to 2018

Interacting Particle Systems on Lattices and on Graphs awarded by National Science Foundation (Principal Investigator). 2015 to 2018

Biodiversity and Evolution - Support for US Participants awarded by National Science Foundation (Principal Investigator). 2013 to 2015

Stochastic Spatial Models: on Complex Networks, Coevolution, and Modeling Cancer awarded by National Science Foundation (Principal Investigator). 2013 to 2015

Mathematical Models of Cancer Initiation, Progression, and Resistance to Therapy awarded by National Institutes of Health (Principal Investigator). 2010 to 2015

Ecology awarded by National Science Foundation (Principal Investigator). 2010 to 2013

Participant Support for Workshop for Women in Probability 2012 awarded by National Science Foundation (Principal Investigator). 2012 to 2013

Chung, KL, Durrett, R, and Durrett, R. "Downcrossings and local time." *Selected Works of Kai Lai Chung.* January 1, 2008. 585-587.
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Nanda, M, and Durrett, R. "Spatial evolutionary games with weak selection." *Proceedings of the National Academy of Sciences* 114.23 (June 6, 2017): 6046-6051.
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Bessonov, M, and Durrett, R. "Phase transitions for a planar quadratic contact process." *Advances in Applied Mathematics* 87 (June 2017): 82-107.
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Durrett, R, and Fan, W-TL. "Genealogies in expanding populations." *The Annals of Applied Probability* 26.6 (December 2016): 3456-3490.
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Cox, JT, and Durrett, R. "Evolutionary games on the torus with weak selection." *Stochastic Processes and their Applications* 126.8 (August 2016): 2388-2409.
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Ryser, MD, Worni, M, Turner, EL, Marks, JR, Durrett, R, and Hwang, ES. "Outcomes of Active Surveillance for Ductal Carcinoma in Situ: A Computational Risk Analysis." *Journal of the National Cancer Institute* 108.5 (May 2016).
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Durrett, R, Foo, J, and Leder, K. "Spatial Moran models, II: cancer initiation in spatially structured tissue." *Journal of mathematical biology* 72.5 (April 2016): 1369-1400.
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Durrett, R, and Zhang, Y. "Coexistence of grass, saplings and trees in the Staver–Levin forest model." *The Annals of Applied Probability* 25.6 (December 2015): 3434-3464.
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Talkington, A, and Durrett, R. "Estimating Tumor Growth Rates In Vivo." *Bulletin of mathematical biology* 77.10 (October 19, 2015): 1934-1954.
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Varghese, C, and Durrett, R. "Spatial networks evolving to reduce length." *Journal of Complex Networks* 3.3 (September 2015): 411-430.
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Ryser, MD, Myers, ER, and Durrett, R. "HPV clearance and the neglected role of stochasticity." *PLoS Computational Biology* 11.3 (March 13, 2015): e1004113-.
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Seven graduate students received their Phd in mathematics at the 2017 Graduation Ceremony:
Philip Andreae: [Advisor:Mark Stern] *Analytic Torsion, the Eta Invariant, and Closed Differential Forms on Spaces of Metrics*
Brian Fitzpatrick: [... read more »

This summer, North Carolina School of Science and Math student Mridu Nanda spent five weeks on the Duke campus working with James B. Duke Professor Rick Durrett. The topic of their research was Spatial Evolutionary Games, which can be used to study... read more »

Active surveillance could be a viable alternative to surgery and radiation for select patients with ductal carcinoma in situ, or DCIS, according to a mathematical model developed by researchers at Duke University.... read more »

Researchers are building complex mathematical models to understand cancer's evolution and how to treat it. Durham, NC - Two Duke researchers are focusing on the deadly mathematics behind the mutated genes and damaged cells that drive cancer. "... read more »

Durham, NC - Racially and economically mixed cities are more likely to stay integrated if the density of households stays low, finds a new analysis of a now-famous model of segregation. By simulating the movement of families between neighborhoods in... read more »