Curriculum Vitae

Jonathan C. Mattingly

Duke University,
Box 90320,
Durham, NC 27708-0320, USA

(919) 660-6978 (office)

(email)

Personal: Born August 11th, 1969 in Stamford CT

Education

PhD in Applied and Computational Mathematics	Princeton University	1998
Auditor	ENS Lyon	1993
BS in Applied Mathematics	Yale University	1992
High School Diploma	NCSSM	1988

Areas of Research: Applied mathematics, Probability, Ergodic Theory, Stochastic partial differential equations, Stochastic dynamical systems, Stochastic Numerical methods, Fluids

Areas of Experience: Applied Mathematics
Stochastic Differential Equations
Partial Differential Euqations
Fluids
Stochastic Numerical Methods
Asymptotics

Professional Experience / Employment History

Duke University: Associate Professor, Mathematics, September, 2006

: Assistant professor, Mathematics, September, 2002 - September, 2006

IAS: member, September, 2002 - July, 2003

Stanford University: NSF Post-Doctoral Fellow, Department of Mathematics, 1999-2002

: Szego Assistant Professor, Department of Mathematics, 1998-2002

Lucent Technology: Summer Intern, Bell Laboratories, June-August 1997

Visiting Positions: Berlin Mathematics School Visiting Proffessor, Berlin Mathematics Society, July, 2009; Visiting Prof, Paris VI, June, 2008; Visiting Member (Program in stochastic analysis), Matematica nelle Scienze Naturali e Sociali, June 20, 2006 - July 25, 2006; Visiting Member, IMA, Univ of Minnisota, November 17, 2004 - December 16, 2004; Member, Institute for Advanved Studies, 2002-03; Visiting Professor, University of Marseilles, France, July 2002; Visiting Scholar, Warwick University, UK, October 2000; Contractor, AT & T, July 1999; Member, MSRI, Berkeley Califonia, August-September 1998

Awards, Honors, and Distinctions: 2005 Presidential Early Career Awards for Scientists and Engineers (PECASE), NSF/Whitehouse, June, 2006
NSF Career Award, July, 2005
Sloan Fellowship, Sloan Foundation, 2005-2007
NSF Post-Doctoral Fellow, NSF, 1999-2002

Recent Grant Support

CAREER: Stochastic analysis and numerics in partial differential equations and extended dynamical systems, National Science Foundation, DMS-0449910, 2005/07-2010/06.
Analysis of Mechanisms of Biochemical Homeostasis, NSF, DMS-061670, 2006/09-2009/09.
CAREER: Stochastic analysis and numerics in partial differential equations and extended dynamical systems, NSF, 2004/07-2009/07.
Sloan Foundation Research Fellowship, Alfred P. Sloan Foundation, BR-4494, 2005/09-2007/09.
Visitinig Member, Institut Universitaire de France, 2004/05.

Conferences Organized: AIM conference: Stochastic numerics methods and application, October, 2007; Organizer MSRI semster program, December 30, 2006 - May 30, 2007; MSRI: Mathematical Issues in Stochastic Approaches for Multiscale Modeling, May 21, 2007 - May 26, 2007; Minisymposium, SIAM dynamical systems meeting, May, 2007; MSRI: Stochastic Dynamical Systems and Control, March 26, 2007 - February 30, 2007

Professional Service

University Committee: Adhoc commit on Mathematics sciences for Arts and Sciences, September, 2007 - present; Arts and Sciences Council, April, 2008 - April, 2010; Genome Center: Natural Sciences Working Group, September, 2004 - June, 2005

Dept Officer: Associate Director, CNCS, 2006 - present

Dept Committee: Chair Hiring Commitee - Tenure Track, 2008 - 2009; Math Bio Search Committee, December, 2004 - February, 2005

Papers Refereed: Associate editor, Communications in Mathematical Science, December 30, 2006 - present

NSF Reviews And Panels: Scienctific Advisory Com. New NSF Math Bio Inst., 2008 - present

Math Community Services: Associate editor, Communications in Mathematical Science, 2007 - present; Associate editor, SIAM Mathematical Analysis, January, 2007 - present; Associate editor Annals of probability, January, 2006 - present; AMS Committee on Committees, 2007 - 2009; One of 3 principle lectures, St Flour Summer School in Probabilit, June, 2007

Other: Co-organizer of CNCS seminar, September, 2007 - present; Organized Probability Seminar (with Ryder, Bahktin, McKinley), 2004, 2006 - present; Co-organizer 3nd Graduate student confference in probabilty, December 2008; Organized Applied Math and Analysis Seminar (with A. Layton, A. Catlla), 2004, 2007- present

Selected Recent Invited Talks: What makes infinite dimensional Markov processes different ?, Stochastic Process and Applications, Berlin, July, 2009; Stochastically forced fluid equations: Transfer between scales and ergodicity., AMS Sectional Meeting (invited talk), April 4, 2009; Trouble with a chain of stochastic oscillators, PACM, Princeton University, 3 April 2009; What makes the ergodic theory if Markov Chains in infinite dimensions different (and dificult) ?, Princeton Ergodic theory seminar, March 3, 2009; Ergodicity, Energy Transfer, and Stochastic Partial Differential Equations, Columbia Universioty, 15 December 2008; The Spread of Randomness: Ergodicity in Infinite Dimensions, Mathematisches Forschungsinstitut Oberwolfach, 2008; The spread of randomness through dimensions, IPAM- Mathematical Frontiers in Network Multi-Resolution Analysis, November, 2008; The spread of randomness through dimensions, IPAM, November, 2008; Troubles with oscillators, Stanford: JBK85, Workshop on Applied Mathematics IN HONOR OF JOSEPH B. KELLER, October, 2008; What is different about the ergodic theory of stochastic PDEs (vs ODEs), UC Irvine, PDE and Probabilty Seminar, October, 2008; Trouble with a chain of stochastic oscillators, Stochastic Seminar, GaTech, September, 2008; Troubles with oscillators, East Midlands Stochastic Analysis Seminars, August, 2008; The spread of randomness in infinite dimensions and ergodicity for SPDEs, Stochastic Analysis, Random Fields and Applications, Asscona IT, June, 2008; Troubles with chains of anharmonic oscillators, Statisical Mechaniques working group, June, 2008; Ergodicity of Degenerately forced SPDEs, Séminaire de Probabilités,Laboratoire de Probabilités et Modèles Aléatoires des Universités Pierre et Marie Curie et Denis Diderot, May 27, 2008; Ergodicity of Degenerately forced SPDEs, ETH, Zurich, May, 2008; Spectral gaps for degenerately forced SPDEs, Particle systems, nonlinear diffusions, and equilibration, November 12-16, 2007; Ergodicity of Degenerately forced SPDES, Sixth Northeast Probability Seminar, November 16, 2007; The Stochastic Calculus of Being Cool, Duke Faculty/Grad seminar, September 14, 2007; Ergodicity of SPDEs, 37th Saint Flour probability Summer school, July 6 - 20, 2007; Seminare Hypathie, Univ. de Provence, Marseille, France, June 22, 2007; Spectral Gap Results for Partially Dissipative Dynamics, SIAM Dynamical systems conference, May 28, 2007; Transfer of dissipation and fluctuations in a simple example, Stanford Applied Math, May 11, 2007; Anomalous dissipation and ergodicity in stochastically forced fluid models, Stanford Mathematics Colloquium, April 12, 2007; Smooth densities for degenerate SPDEs: Malliavin calculus and controllability, Stochastic Dynamical Systems and Control, March 26, 2007; Ergodicity in infinite dimensions: SPDEs and the Wasserstein metric, Berkeley Probability Seminar, March 21, 2007; Evans Probability Seminar. Ergodicity in infinite dimensions: SPDEs and the Wasserstien metric, Berkeley Mathematics Department, March 21, 2007; Ergodicity in inﬁnite dimensions and the spread of randomness, Stanford Probability seminar, February 26, 2007; Random Dynamical Systems, MSRI, February 20, 2007; 2D Stochastic Navier Stokes: Spectral Gaps and Ergodicity, MIT/ Harvard Analysis seminar, March, 2006; Malliavin Calculus, Hypoellipticity, and Ergodicity, Maryland Dynamics Conference, March, 2006; Degenerately forced stochastic fluid equations and simple models with anomalous dissipation, MSRI :Probability, Geometry and Integrable Systems, December 5, 2005; Spectral gaps and coupling for degenerate stochastic PDEs, MSRI:Optimal Mass Transport and its Applications, November 15, 2005; Simple Models with Anomolous Disipation and Energy casceades, Warwick, UK, November, 2005; Exponential Mixing for the Degenerately forced Navier Stokes Equations, MSRI: Analytical and Stochastic Fluid Dynamics, October 11, 2005; Degenerately Forced SPDEs, Frontiers in Probability, Joint Statisics meeting, August, 2005; Hypoellipticity and SPDEs, Stochastic Analysis and Partial Differential Equations, Northwestern University, June, 2005; Simple Models of Energy cascades, UNC Applied Math, April, 2005; Stochastic Models in Fluid Mechanics, FIM ETH Zurich, January 10, 2005; Ergodicity of the 2D Navier-Stokes equations under very degenerate forcing, Probability Seminar, Univ. of Minnisota, December 10, 2004; Ergodicity of the 2D Navier-Stokes equations under very degenerate forcing, CAMP/Nonlinear PDE's Seminar, Univ of Chicago, December 8, 2004; Long Time Simulation of Stochastic Differential Equations, IMA Multiscale working group, December 6, 2004; Degenerately Forced Navier Stokes Equation, Univ of Maryland, November 12, 2004; Ergodicity of the degenerately forced Stochastic Navier Stokes Equations., AMS Sectional Meeting, Evanstion IL, October 23, 2004; Malliavin Calculus and ergodicity of the full degenerate Navier-Stokes equation, Analysis and Probability Seminar, Northwestern, October 22, 2004; Ergodicity of the Degenerately Forced Navier-Stokes Equation, Marseilles, France, June, 2004; Hypo-ellipticity and cascades of probability in 2D Navier-Stokes equation, Dynamical Systems and Differential Equations Conference (Los Angeles, CA), June, 2004; Numerical Methods for the long time simulations of Stochastic Differential Equations, Dynamical Systems and Differential Equations Conference (Los Angeles, CA), June, 2004; The Degenerately Forced Navier-Stokes Equation, Dynamical Systems and Differential Equations Conference (Los Angeles, CA), June, 2004; Numerical Methods of SDEs: Long time simulation, NC State University, March, 2004; Ergodic Theory of Dissipative PDEs, Ergodic Theory Workshop, UNC Chapel Hill, February, 2004; Stochastic Partial Differential Equations and Applications, Trento, Italy, January, 2004; Ergodic Theory of Dissipative SPDEs, NC State, November, 2003; Midwest Probability Colloquium, Northwestern, 17 October 2003; Workshop on Stochastic Partial Differential Equations and Related Topics, Warwick, UK, 3 August 2003; Stochastic Numerical Methods, LMS Durham Symposium:Markov Chains, Durham, UK, 27 July 2003; Kolmogorov 100, Moscow, Russia, 17 June 2003; ForgesLesEaux, Forges Les Eaux PDE conference, France, 7 June 2003; 2D Navier Stokes with Stochastic Forcing: Ergodicity, scale, and Malliavin Calc, IAS, Princeton NJ, 8 March 2003; Organizer and a mini simposium speaker, AMAM, Nice 2003, 14 February 2003; Ergodicity, mixing, and scales in the stochastically forced Navier-Stokes equation, Special session honoring Ya. Sinai, AMS meeting Baltimore, 14 January 2003; Stochastically forced Navier Stokes: Ergodicity, Mixing and scales, Applied Mathematics Seminar, Columbia University, 3 December 2002; Semi-Plenary Lecture: Adaptive Schemes for long time simulations of SDEs, Workshop on Stochastic Computation, FoCM'02, IMA, Minneapolis, 14 August 2002; Ergodicity of Stochastically Forced PDEs, CAMP/Nonlinear PDE's Seminar, University of Chicago, 3 June 2002; Ergodicity of Stochastically Forced PDEs, University of California, Santa Barbara, 22 February 2002; Ergodicity of Stochastically Forced PDEs, Department of Applied Math, Brown University, 20 February 2002; Ergodicity of Stochastically Forced PDEs and Multiscale Numerics, Applied Mathematics, Caltech, 10 February 2002; Ergodicity of Stochastically Forced PDEs, Courant Institute, New York University, 30 January 2002; Ergodic theory of Navier-Stokes equation and dissipative PDEs, infinite dimensional coupling and Gibbs measures, AMS-SMF: First Joint Mathematical International Meeting, 19 July 2001; Gibbs Measures and Ergodicity in the 2D Stochastically Forced Navier Stokes Equation, Unversity of Paris VI, 12 June 2000; Gibbs Measures and Ergodicity in the 2D Stochastically Forced Navier Stokes Equation, Princeton Alumni Conference, 12 June 2000; Ergodicity of the 2-Dim Navier Stokes Equations: Random contractions, random attractors, and coupling in infinite dimensions, University of California, Los Angeles, 13 April 2000; The Stochastic Navier Stokes Equations: Invarient Measures and Trivial Attractors, AMS Meeting, Santa Barbara, C.A., 12 April 2000; Ergodicity of the 2-Dim Navier Stokes Equations: Random contractions, random attractors, and coupling in infinite dimensions, Probability Seminar, Berkeley, 5 December 1999; Ergodicity of the 2-Dim Navier Stokes Equations: Random contractions, random attractors, and coupling in infinite dimensions, Probability Seminar, Stanford university, 15 November 1999; The stochastically forced 2-dim Navier Stokes equation, Integrating Integrability into Mathematics and Science, Univ. of Arizona, 29 October 1999; Stochastically forced dynamical systems and their numerical discretizations, AMS Metting, Charlotte N.C., 12 October 1999; Can Kolmogorov s ideas on turbulence be part of dynamical systems?,, ITP Summer School, Trieste Italy, 12 July 1998

Doctoral Theses Directed: David F. Anderson, (2004 - August, 2005)

Professional Affiliations: AMS
SIAM
IMS

Publications

Papers Published

Hairer, Martin and Mattingly, Jonathan C., Slow energy dissipation in anharmonic oscillator chains, Communications on Pure and Applied Mathematics, vol. 62 no. 8 (2008), pp. 999--1032, ISSN 0010-3640
with Martin Hairer, Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations, Annals of Probability no. 6 (2008), pp. 993--1032
with Iyer, Gautam and Mattingly, Jonathan, A stochastic-{L}agrangian particle system for the {N}avier-{S}tokes equations, Nonlinearity, vol. 21 no. 11 (2008), pp. 2537--2553, ISSN 0951-7715
Mattingly, Jonathan C. and Suidan, Toufic M., Transition measures for the stochastic {B}urgers equation, in Integrable systems and random matrices, Contemp. Math., , Integrable systems and random matrices, vol. 458 (2008), pp. 409--418, Amer. Math. Soc., Providence, RI
David Anderson and Jonathan C. Mattingly, Propagation of fluctuations in biochemical systems, II: nonlinear chains, IET Systems Biology, vol. 1 no. 6 (November, 2007), pp. 313-325
Mattingly, Jonathan C. and Suidan, Toufic and Vanden-Eijnden, Eric, Simple systems with anomalous dissipation and energy cascade, Communications in Mathematical Physics, vol. 276 no. 1 (2007), pp. 189--220, ISSN 0010-3616
Lamba, H. and Mattingly, J. C. and Stuart, A. M., An adaptive {E}uler-{M}aruyama scheme for {SDE}s: convergence and stability, IMA Journal of Numerical Analysis, vol. 27 no. 3 (2007), pp. 479--506, ISSN 0272-4979
Anderson, David F. and Mattingly, Jonathan C. and Nijhout, H. Frederik and Reed, Michael C., Propagation of fluctuations in biochemical systems. {I}. {L}inear {SSC} networks, Bulletin of Mathematical Biology, vol. 69 no. 6 (2007), pp. 1791--1813, ISSN 0092-8240
Mattingly, Jonathan C. and Suidan, Toufic M. and Vanden-Eijnden, Eric, Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators, Journal of Statistical Physics, vol. 128 no. 5 (2007), pp. 1145--1152, ISSN 0022-4715
Bakhtin, Yuri and Mattingly, Jonathan C., Malliavin calculus for infinite-dimensional systems with additive noise, Journal of Functional Analysis, vol. 249 no. 2 (2007), pp. 307--353, ISSN 0022-1236
Jonathan C. Mattingly, Etienne Pardoux, Malliavin calculus for the Stochastic 2D Navier Stokes Equation, Communications on Pure and Applied Mathematics, vol. 59 no. 12 (December, 2006), pp. 1742 - 1790
Martin Hairer, J.C. Mattingly, Ergodicity of the 2D Navier-Stokes Equations with Degenerate Stochastic Forcing, Annals of Mathematics, vol. 164 no. 3 (November, 2006)
H. Frederik Nijhout, Michael C. Reed, David F. Anderson, Jonathan C. Mattingly, S. Jill james, and Cornelia M. Ulrich, Long-Range Allosteric Interactions between the Folate and Methionine Cycles Stabilize DNA Methylation Reaction Rate, Epigenetics, Epigenetics, vol. 1 no. 2 (April/May 2006), pp. 81-87
Bakhtin, Yuri and Mattingly, Jonathan C., Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations, Communications in Contemporary Mathematics, vol. 7 no. 5 (2005), pp. 553--582, World Scientific (ISSN: 0219-1997.)
Mattingly, Jonathan C. and Suidan, Toufic M., The small scales of the stochastic Navier-Stokes equations under rough forcing, Journal of Statistical Physics, vol. 118 no. 1-2 (2005), pp. 343--364 (ISSN: 0022-4715.)
Hairer, Martin and Mattingly, Jonathan C., Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations, Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris, vol. 339 no. 12 (2004), pp. 879--882 (ISSN: 1631-073X.)
Martin Hairer, Jonathan C. Mattingly and Étienne Pardoux, Malliavin calculus for highly degenerate 2D stochastic Navier–Stokes equations, Comptes Rendus Mathematique, vol. 339 no. 11 (2004), pp. 793-796
J.C. Mattingly, On Recent Progress for the Stochastic Navier Stokes Equations, Journées "Équations aux Dérivées Partielles" (Forges-les-Eaux, 2003), vol. XV (Summer, 2003), pp. viii+298, Universit\'e de Nantes, Nantes (Held in Forges-les-Eaux, June 2--6, 2003, The papers are available electronically at \url{http://www.math.sciences.univ-nantes.fr/edpa}.)
Mattingly, Jonathan C., The dissipative scale of the stochastics Navier-Stokes equation: regularization and analyticity, J. Statist. Phys., vol. 108 no. 5-6 (2002), pp. 1157--1179 (Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays.)
Mattingly, J. C., Contractivity and ergodicity of the random map {$x\mapsto\vert x-\theta\vert $}, Teor. Veroyatnost. i Primenen., vol. 47 no. 2 (2002), pp. 388--397
Mattingly, J. C. and Stuart, A. M., Geometric ergodicity of some hypo-elliptic diffusions for particle motions, Markov Process. Related Fields, vol. 8 no. 2 (2002), pp. 199--214 (Inhomogeneous random systems (Cergy-Pontoise, 2001).)
Mattingly, J. C. and Stuart, A. M. and Higham, D. J., Ergodicity for {SDE}s and approximations: locally Lipschitz vector fields and degenerate noise, Stochastic Process. Appl., vol. 101 no. 2 (2002), pp. 185--232
J.C. Mattingly, Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics, Comm. Math. Phys., vol. 230 no. 3 (2002), pp. 421--462
E, Weinan and Mattingly, Jonathan C., Ergodicity for the Navier-Stokes equation with degenerate random forcing: finite-dimensional approximation, Comm. Pure Appl. Math., vol. 54 no. 11 (2001), pp. 1386--1402
Holmes, P. J. and Mattingly, J. C. and Wittenberg, R. W., Low-dimensional models of turbulence or, The dynamics of coherent structures, in From finite to infinite dimensional dynamical systems (Cambridge, 1995), From finite to infinite dimensional dynamical systems (Cambridge, 1995), vol. 19, pp. 177--215, 2001, Kluwer Acad. Publ., Dordrecht, From finite to infinite dimensional dynamical systems (Cambridge, 1995), vol. 19 (2001), pp. 177--215, Kluwer Acad. Publ., Dordrecht
W. E, J.C. Mattingly, Ya Sinai, Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation, Comm. Math. Phys., vol. 224 no. 1 (2001), pp. 83--106 (Dedicated to Joel L. Lebowitz.)
Mattingly, Jonathan C., Ergodicity of 2D Navier-Stokes equations with random forcing and large viscosity, Comm. Math. Phys., vol. 206, no. 2, pp. 273--288, 1999
Mattingly, J. C. and Sinai, Ya. G., An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations, Commun. Contemp. Math., vol. 1, no. 4, pp. 497--516, 1999
Jonathan C. Mattingly, The Stochastic Navier-Stokes Equation: Energy Estimates and Phase Space Contraction, PhD Thesis, Princeton University 1998
Holmes, Philip J. and Lumley, John L. and Berkooz, Gal and Mattingly, Jonathan C. and Wittenberg, Ralf W., Low-dimensional models of coherent structures in turbulence, Phys. Rep., vol. 287, no. 4, pp. 337--384, 1997

Papers Accepted

with Martin Hairer, Michael Scheutzow, Asymptotic coupling and a weak form of Harris' theorem with applications to stochastic delay equations (2009)
with Martin Hairer, Yet another look at Harris' ergodic theorem for Markov chains (August, 2008)

Papers Submitted

with Andrew M. Stuart and M.V. Tretyakov, Convergence of Numerical Time-Averaging and Stationary Measures via Poisson Equations (2009)
with David Anderson, A weak trapezoidal method for a class of stochastic differential equations (2009)
with Scott A. McKinley, Natesh S. Pillai, Geometric ergodicity of a bead-spring pair with stochastic Stokes forcing (2009)
with Martin Hairer, A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs (2008)

Preprints

Martin Hairer, Jonathan C. Mattingly, Etienne Pardoux, Malliavin calculus and ergodic properties of highly degenerate 2D stochastic Navier--Stokes equation, Comptes rendus Mathematique (CRAS), In press (Summer, 2004)

Last modified: 2009/11/22