Jonathan Christopher Mattingly
- Professor of Mathematics
- Chair of the Department of Mathematics
- Professor of Statistical Science (Secondary)
Research Areas and Keywords
Analysis
Biological Modeling
Computational Mathematics
PDE & Dynamical Systems
Physical Modeling
Probability
Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave elementary and Charlotte Country Day. He graduated from the NC School of Science and Mathematics and received a BS is Applied Mathematics with a concentration in physics from Yale University. After two years abroad with a year spent at ENS Lyon studying nonlinear and statistical physics on a Rotary Fellowship, he returned to the US to attend Princeton University where he obtained a PhD in Applied and Computational Mathematics in 1998. After 4 years as a Szego assistant professor at Stanford University and a year as a member of the IAS in Princeton, he moved to Duke in 2003. He is currently a Professor of Mathematics and of Statistical Science.
His expertise is in the longtime behavior of stochastic system including randomly forced fluid dynamics, turbulence, stochastic algorithms used in molecular dynamics and Bayesian sampling, and stochasticity in biochemical networks.
He is the recipient of a Sloan Fellowship and a PECASE CAREER award. He is also a fellow of the IMS and the AMS.
Selected Grants
Quantifying Gerrymandering in the North Carolina Legislature awarded by Imagine North Carolina First (Principal Investigator). 2019
BIGDATA:F: Scalable Bayes uncertainty quantification with guarantees awarded by National Science Foundation (Co-Principal Investigator). 2015 to 2019
Collaborative research: Propagation of dissipation: Stochastic stabilization in finite and infinite dimensions awarded by National Science Foundation (Principal Investigator). 2016 to 2019
Analysis and design of robust rare event simulation methods for protein folding and d awarded by University of Chicago (Principal Investigator). 2013 to 2018
Southeastern Probability Conference 2017: Special Edition Interacting Particle Systems with Applications in Biology, Ecology, and Statistical Physics awarded by National Science Foundation (Principal Investigator). 2017 to 2018
EMSW21-RTG: awarded by National Science Foundation (Co-Principal Investigator). 2010 to 2017
Multiscale Analysis of Dynamic Graphs awarded by Office of Naval Research (Co-Principal Investigator). 2012 to 2016
FRG: Collaborative Proposal: awarded by National Science Foundation (Principal Investigator). 2009 to 2013
CAREER: Stochastic Analysis and Numerics in Partial Differential Equations and Extended Dynamical Systems awarded by National Science Foundation (Principal Investigator). 2005 to 2011
Analysis of Mechanisms of Biochemical Homeostasis awarded by National Science Foundation (Co-Principal Investigator). 2006 to 2010
Herschlag, G, Ravier, R, and Mattingly, JC. "Evaluating Partisan Gerrymandering in Wisconsin." (September 2, 2017). Open Access Copy
Bakhtin, Y, Hurth, T, Lawley, SD, and Mattingly, JC. "Smooth invariant densities for random switching on the torus(Submitted)." (August 1, 2017). Open Access Copy
Johndrow, JE, and Mattingly, JC. "Coupling and Decoupling to bound an approximating Markov Chain (Submitted)." (July 31, 2017). Open Access Copy
Glatt-Holtz, NE, Herzog, DP, and Mattingly, JC. "Scaling and Saturation in Infinite-Dimensional Control Problems with Applications to Stochastic Partial Differential Equations(Accepted)." Annals of Pde (June 30, 2017). Open Access Copy
Glatt-Holtz, N, Mattingly, JC, and Richards, G. "On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations." Journal of Statistical Physics 166.3-4 (February 1, 2017): 618-649. Full Text Open Access Copy
Cooke, B, Herzog, DP, Mattingly, JC, Mckinle, SA, and Schmidler, SC. "Geometric ergodicity of two-dimensional hamiltonian systems with a Lennard-Jones-like repulsive potential." Communications in Mathematical Sciences 15.7 (January 1, 2017): 1987-2025. Full Text Open Access Copy
Hairer, M, and Mattingly, J. "The strong Feller property for singular stochastic PDEs(Submitted)." (2016). Open Access Copy
Tempkin, JOB, Koten, BV, Mattingly, JC, Dinner, AR, and Weare, J. "Trajectory stratification of stochastic dynamics(Accepted)." Siam Review (2016). Open Access Copy
Herzog, DP, and Mattingly, JC. "Noise-induced stabilization of planar flows ii." Electronic Journal of Probability 20 (October 25, 2015). Full Text Open Access Copy
Bakhtin, Y, Hurth, T, and Mattingly, JC. "Regularity of invariant densities for 1D systems with random switching." Nonlinearity 28.11 (September 30, 2015): 3755-3787. Full Text Open Access Copy
Pages
Mattingly, JC, and Suidan, TM. "Transition measures for the stochastic Burgers equation." 2008.
Holmes, PJ, Mattingly, JC, and Wittenberg, RW. "Low-dimensional models of turbulence or, The dynamics of coherent structures." 19 (2001): 177-215. Full Text
Pages
Pages
Mathematics Department chair Jonathan Mattingly has been awarded the James B. Duke distinguished professorship. Distinguished professorships recognize both exceptional achievement and the potential for future accomplishments. They are awarded to... read more »
DURHAM, N.C. -- On March 26, the U.S. Supreme Court is set to hear a North Carolina lawsuit that could end partisan gerrymandering for good -- and a mode of analysis developed at Duke University could impact their decision. The nation’s highest... read more »
On January 9th, a three-judge court declared North Carolina’s congressional map unconstitutionally gerrymandered, stating that the drawing of the state’s electoral districts gave an advantage to the Republican Party. The US Federal court cited the... read more »
Sayan Mukherjee was named Fellow of the Institute of Mathematical Statistics (IMS) for his significant contributions to mathematical statistics,... read more »
Jonathan Mattingly created a quantitative Gerrymandering Index for NC that revealed a partisan pattern https://researchblog.... read more »