Jonathan Christopher Mattingly

Jonathan Christopher Mattingly
  • Professor of Mathematics
  • Chair of the Department of Mathematics
  • Professor of Statistical Science (Secondary)

Research Areas and Keywords

Analysis
Stochastic Analysis, Malliavin Calculus, Ergodic Theory
Biological Modeling
Stochastic and Random PDEs, Stochastic Dynamical Systems, Mathematical Ecology and Evolution, Metabolic and Cellular modeling, Out of equilibrium statistical mechanics
Computational Mathematics
Markov Chain Mixing, Stochastic Numerical Methods, High Dimensional Random Algorithms
PDE & Dynamical Systems
Stochastic and Random PDEs, Stochastic Dynamical Systems, Malliavin Calculus, Fluid Mechanics, Approximating invariant measures
Physical Modeling
Stochastic and Random PDEs, Stochastic Dynamical Systems, Fluid Mechanics
Probability
Stochastic and Random PDEs, Stochastic Dynamical Systems, Stochastic Analysis, Malliavin Calculus, Markov Chain Mixing, Ergodic Theory, High Dimensional Random Algorithms, Probability on stratified spaces, Out of equilibrium statistical mechanics, Approximating invariant measures

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.

Education & Training
  • Ph.D., Princeton University 1998

  • M.A., Princeton University 1996

  • B.S., Yale University 1992

Selected Grants

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

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

Hairer, M, and Mattingly, J. "The strong Feller property for singular stochastic PDEs." Annales De L'Institut Henri Poincaré, Probabilités Et Statistiques 54.3 (August 2018): 1314-1340. Full Text Open Access Copy

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

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 2017): 618-649. Full Text Open Access Copy

Tempkin, JOB, Koten, BV, Mattingly, JC, Dinner, AR, and Weare, J. "Trajectory stratification of stochastic dynamics." (2016). Open Access Copy

Bakhtin, Y, Hurth, T, and Mattingly, JC. "Regularity of invariant densities for 1D systems with random switching." Nonlinearity 28.11 (October 1, 2015): 3755-3787. Full Text Open Access Copy

Herzog, DP, and Mattingly, JC. "A practical criterion for positivity of transition densities." Nonlinearity 28.8 (August 1, 2015): 2823-2845. Full Text Open Access Copy

Lawley, SD, Mattingly, JC, and Reed, MC. "Stochastic Switching in Infinite Dimensions with Applications to Random Parabolic PDE." SIAM Journal on Mathematical Analysis 47.4 (January 2015): 3035-3063. 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

Electoral district map of NC

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 named IMS Fellow

Sayan Mukherjee was named Fellow of the Institute of Mathematical Statistics (IMS) for his significant contributions to mathematical statistics,... read more »


NC Partisan Gerrymandering Decision a Win for North Carolina Citizens

Jonathan Mattingly created a quantitative Gerrymandering Index for NC that revealed a partisan pattern https://researchblog.... read more »


Gerrymandering Workshop @ Duke

Geometry of Redisctricting Conference (Nov 2-3) and Workshop (Nov 4-5) will be held at The Searle Center. For additional information, please follow this link: https://sites.duke.edu/... read more »


Team Gerrymandering

Team gerrymandering, led by Professor Jonathan Mattingly, feature their latest works in a new webpage: https://www.math.duke.edu/projects/gerrymandering/.... read more »


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