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

Anderson, DF, Mattingly, JC, Nijhout, HF, and Reed, MC. "Propagation of fluctuations in biochemical systems, I: linear SSC networks." Bull Math Biol 69.6 (August 2007): 1791-1813. Full Text

Anderson, DF, Mattingly, JC, Nijhout, HF, and Reed, MC. "Propagation of fluctuations in biochemical systems, I: Linear SSC networks." BULLETIN OF MATHEMATICAL BIOLOGY 69.6 (August 2007): 1791-1813. Full Text Open Access Copy

Mattingly, JC, Suidan, TM, and Vanden-Eijnden, E. "Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators." Journal of Statistical Physics 128.5 (2007): 1145-1152. Full Text

Bakhtin, Y, and Mattingly, JC. "Malliavin calculus for infinite-dimensional systems with additive noise." Journal of Functional Analysis 249.2 (2007): 307-353. Full Text

Lamba, H, Mattingly, JC, and Stuart, AM. "An adaptive Euler-Maruyama scheme for SDEs: Convergence and stability." IMA Journal of Numerical Analysis 27.3 (2007): 479-506. Full Text

Mattingly, JC, Suidan, T, and Vanden-Eijnden, E. "Simple systems with anomalous dissipation and energy cascade." Communications in Mathematical Physics 276.1 (2007): 189-220. Full Text

Nijhout, HF, Reed, MC, Anderson, DF, Mattingly, JC, James, SJ, and Ulrich, CM. "Erratum to H. Frederik Nijhout, et al. Epigenetics Volume 1, Issue 2; pp. 81-87." Epigenetics 1.3 (July 2006): 115-115. Full Text

Nijhout, HF, Reed, MC, Anderson, DF, Mattingly, JC, James, SJ, and Ulrich, CM. "Long-range allosteric interactions between the folate and methionine cycles stabilize DNA methylation reaction rate." Epigenetics 1.2 (April 2006): 81-87.

Hairer, M, and Mattingly, JC. "Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing." Annals of Mathematics 164.3 (2006): 993-1032.

Mattingly, JC, and Pardoux, É. "Malliavin calculus for the stochastic 2D Navier-Stokes equation." Communications on Pure and Applied Mathematics 59.12 (2006): 1742-1790. Full Text

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