# Richard Timothy Durrett

- James B. Duke Distinguished 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

population genetics, selective sweeps, stepping stone models, interacting particle systems, contact processes, spatial ecological models, cancer modeling, tumor heterogeneity

##### Probability

probability, stochastic processes, random graphs, dynamics on networks, dynamics of networks

### Selected Grants

Support for Southeastern Probability Conference awarded by National Science Foundation (Principal Investigator). 2020 to 2024

Voters, games, and epidemics on random graphs awarded by National Science Foundation (Principal Investigator). 2018 to 2021

Mathematical Analysis of Spatial Cancer Models awarded by National Science Foundation (Principal Investigator). 2016 to 2020

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

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

## Pages

Chung, K. L., and R. Durrett. “Downcrossings and local time.” *Selected Works of Kai Lai Chung*, 2008, pp. 585–87. *Scopus*, doi:10.1142/9789812833860_0037.
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Cristali, I., et al. “Poisson percolation on the oriented square lattice.” *Stochastic Processes and Their Applications*, vol. 130, no. 2, Feb. 2020, pp. 488–502. *Scopus*, doi:10.1016/j.spa.2019.01.005.
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Wang, Zhuoqun, and Rick Durrett. “Extrapolating weak selection in evolutionary games.” *Journal of Mathematical Biology*, vol. 78, no. 1–2, Jan. 2019, pp. 135–54. *Epmc*, doi:10.1007/s00285-018-1270-6.
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Huo, R., and R. Durrett. “The Zealot voter model.” *Annals of Applied Probability*, vol. 29, no. 5, Jan. 2019, pp. 3128–54. *Scopus*, doi:10.1214/19-AAP1476.
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Ma, R., and R. Durrett. “A simple evolutionary game arising from the study of the role of igf-II in pancreatic cancer.” *Annals of Applied Probability*, vol. 28, no. 5, Oct. 2018, pp. 2896–921. *Scopus*, doi:10.1214/17-AAP1378.
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Huo, R., and R. Durrett. “Latent voter model on locally tree-like random graphs.” *Stochastic Processes and Their Applications*, vol. 128, no. 5, May 2018, pp. 1590–614. *Scopus*, doi:10.1016/j.spa.2017.08.004.
Full Text Open Access Copy

Talkington, Anne, et al. “Ordinary Differential Equation Models for Adoptive Immunotherapy.” *Bulletin of Mathematical Biology*, vol. 80, no. 5, May 2018, pp. 1059–83. *Epmc*, doi:10.1007/s11538-017-0263-8.
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Cristali, I., et al. “Block size in geometric(P)-biased permutations.” *Electronic Communications in Probability*, vol. 23, Jan. 2018. *Scopus*, doi:10.1214/18-ECP182.
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Beckman, E., et al. “Asymptotic behavior of the brownian frog model.” *Electronic Journal of Probability*, vol. 23, Jan. 2018. *Scopus*, doi:10.1214/18-EJP215.
Full Text Open Access Copy

Basak, A., et al. “Diffusion limit for the partner model at the critical value.” *Electronic Journal of Probability*, vol. 23, Jan. 2018. *Scopus*, doi:10.1214/18-EJP229.
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Lopatkin, Allison J., et al. “Persistence and reversal of plasmid-mediated antibiotic resistance.” *Nature Communications*, vol. 8, no. 1, Nov. 2017, p. 1689. *Epmc*, doi:10.1038/s41467-017-01532-1.
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Sayan Mukherjee was named Fellow of the Institute of Mathematical Statistics (IMS) for his significant contributions to mathematical statistics,... read more »

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 »