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Curriculum Vitae

Jonathan C. Mattingly

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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 MathematicsPrinceton University1998
AuditorENS Lyon1993
BS in Applied MathematicsYale University1992
High School DiplomaNCSSM1988
Areas of Research

Applied mathematics, Probability, Ergodic Theory, Stochastic partial differential equations, Stochastic dynamical systems, Stochastic Numerical methods, Fluids

Areas of Interest

Ergodic theory
Truly infinite dimensional behabior in SPDEs
Scaling limited of algorithems used in simulation and data analysis
Probabilistic algorithms for large data
Stabilization of dynamics my noise
scaling limits of stochastic algorithms

Areas of Experience

Applied Mathematics
Stochastic Differential Equations
Partial Differential Euqations
Fluids
Stochastic Numerical Methods
Asymptotics

Professional Experience / Employment History

Duke University
Professor, Mathematics, Mathematics, July, 2012 - present
Associate Professor, Mathematics, September, 2006 - June, 2012
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
Visiting Professor, University of Nice, France, July, 2012
Member, Ohio State University, October, 2011 and February, 2012
Visiting Professor, University of Provence, June, 2010
Member, Newton Institute, February, 2010 - April, 2010
Part of special year on SPDEs
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

Institute of Mathematical Statistics Fellow, June, 2012
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

  • Multiscale Analysis of Dynamic Graphs, Office of Naval Research, N00014-12-1-0601-01, 2012/08-2015/07.      
  • EMSW21-RTG: Enhanced Training and Recruitment in Mathematical Biology, National Science Foundation, DMS-0943760, 2010/09-2014/08.      
  • FRG: Collaborative Proposal: Stochastics and Dynamics: Asymptotic Problems, National Science Foundation, DMS-0854879, 2009/06-2012/05.      
  • MULTISCALE ANALYSIS OF DYNAMIC GRAPHS, Office of Naval Research, N000141210601, 2012/04.      
  • Visitinig Member, Institut Universitaire de France, 2004/05.      
Conferences Organized

Organized invited session at SPA2013, August, 2013  
Co Organizer (with Amarjit Budhiraja ), Seminar on Stochastic Processes 2013, March, 2013  
Local Orgnaizer (with Rick Durrett), Woman in Probability III, October, 2012  
SAMSI Stochastic Dynamics tradition workshop, November, 2010  
MFO week long school on ergodic theory, October, 2010  
local liaison/Organizer SAMSI year on stochastic dynamics, 2009 - 2010  
SAMSI Opening Workshop for Stochastic Dynamics, August, 2009  
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 - 2010  
Large Data and Information Furtures, 2011 - 2012  
Arts and Sciences Council, April, 2008 - April, 2010  
Genome Center: Natural Sciences Working Group, September, 2004 - June, 2005  
Dept Officer
Associate Director, CNCS, 2006 - 2011  
Dept Committee
Chair, Strategic Planning Committee, September, 2012 - present  
Chair Hiring Commitee - Tenure Track, 2008 - 2009  
Applied ARP Postdoc Hiring Committee,, 2013 - 2014  
Applied ARP Postdoc Hiring Committee, 2010 - 2011  
Chair of Math Simmons proposal writing committee, 2010 - 2011  
Math Bio Search Committee, December, 2004 - February, 2005  
Papers Refereed
Associate editor Nonlinearity, December, 2013 - present  
Assiciate Editor, Journal of Stochastic Partial Differential Equations, September, 2012 - present  
Associate editor, Communications in Mathematical Science, December 30, 2006 - December 30, 2010  
NSF Reviews And Panels
Scienctific Advisory Com. NSF Math Bio Inst. - nimbios, 2008 - 2012  
Math Community Services
Associate editor Annals of probability, 2006 - 2012  
AMS Short Course Selelction Committee, 2009 - 2011  
Associate editor, SIAM Mathematical Analysis, January, 2007 - December, 2009  
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 - 2010  
Organized Probability Seminar (with Ryder, Bahktin, McKinley, Athraya, Durrett, Herzog ), 2004, 2006 - present  
AMS short course commitee, 2009 - 2012  
Co-organizer of first South Eastern Probability Conference, December 2011  
Co-organizer 4nd Graduate student confference in probabilty, April, 2010  
Co-organizer 3nd Graduate student confference in probabilty, April, 2009  
Organized Applied Math and Analysis Seminar (with A. Layton, A. Catlla), 2004, 2007- present  
Selected Recent Invited Talks

Dynamics Days 2014, Atlanta GA, January 4, 2014  
Stabilization by Noise, November 19, 2013 [stabilization-noise]  
Uniqueness of the inviscid limit in a simple model damped/driven system., Probability and Mathematical Physics Seminar, November 5, 2013 [html]  
Stochastic stabilization of OEDs., Applied Math Seminar, NYU, September 6, 2013  
Stochastic partial differential equations, SPA2013, August, 2013  
Stabilization by noise, University of Maryland, May, 2013 [available here]  
Stablization by Noise, Conférence en l'honneur d'Etienne Pardoux, CIRM, Marseillais France., February 14, 2013 [pdf]  
Perspectives on Ergodicity, Conference on SPDEs, IMA, Minnesota, January 14, 2013 [#Schedule]  
A Numerical Method for the SDEs from Chemical Equations, Probability and Biology section, 2012 Canadian Mathematical society (winter meeting), December, 2012 [pb#jm]  
Minerva Lectures: Erodicity of Markov Processes: From Chains to SDEs to SPDEs, Mathematics Department, Columbia University, November-December, 2012 [available here]  
A Menagerie of Stabilization, Joint Probability and Analysis Seminar, Nice, France, July, 2012  
Stochastic Stabilization, Inria - Sophia Antipolis, July, 2012 [available here]  
Building Lyapunov Functions (4 lectures), EPSRC Symposium Workshop – Easter Probability Meeting, March, 2012 [available here]  
Noise Induced Stability, MBI, February, 2012 [html]  
A Menagerie of Stochastic Stabilization, CAMP/Probability Seminar, University of Chicago, October 18, 2011 [html]  
A menagerie of stochastic stabilization, Equadiff 2011, Loughborough University, August, 2011 [html]  
Coarse–graining of many–body systems: analysis, computations and applications, July, 2011 [available here]  
Ergodicity of systems with singular interaction terms, Stochastic Dynamics Transition Workshop, SAMSI, November 18, 2010 [stochastic-dynamics-transition-workshop-november-17-19-2010]  
Oberwolfach Seminar: The Ergodic Theory of Markov Processes, Oberwolfach, Germany, October 24th - October 30th, 2010 [html]  
Malliavin Calculus to prove ergodic theorems for SPDEs, ICM Satellite Conference on Probability and Stochastic Processes Indian Statistical Institute, Bangalore, August 13, 2010 [index.php]  
SPDE scaling limits of an Markov chain Montecarlo algorithm, Stochastic Partial Differential Equations: Approximation, Asymptotics and Computation, Newton Institute, June 28, 2010 [html]  
The spread of randomness, German-American Frontiers of Science, Potsdam Germany, June, 2010  
How to prove an ergodic theorem, oberwolfach, May, 2010  
Coupling at infinity, Seminar on Stochastic Processes, March 30, 2010 [pdf]  
Long time stochastic simiulation, Imperial College, March 15, 2010 [htm]  
Spectral Gaps in Wasserstien Distance, Ergodic Theory Seminary, Princeton Mathematics, March 4, 2010  
Trouble with a chain of stochastic oscillators, PACM, Princeton University, March 2, 2010 [colloq_archive.shtml]  
Hypo-ellipticity for SPDEs, SPDE program , Newton Institute, March, 2010  
Numerics of SDEs, Warwick University, UK, February 24, 2010 [available here]  
Long Time Behavior of Stochastically Forced PDEs., AMS Joint Meeting, San Francisco, January 14, 2010  
Ellipticity and Hypo-ellipticity for SPDEs *or* What is ellipticity in infinite dimensions anyway?, Stochastic Partial Differential Equations, Newton Institute, January 8, 2010 [html]  
SPDE Limits of the Random Walk Metropolis Algorithm in High Dimensions, SIAM PDE Meeting, December 7, 2009 [dsp_programsess.cfm]  
Stochastic fluctuations in bio chemical networks, MBI: Mathematical Developments Arising from Biology, November 09, 2009 [html]  
Introduction to Ergodicity in Infinite Dimentions, TU Berlin, July, 2009  
What makes infinite dimensional Markov processes different ?, Stochastic Process and Applications, Berlin, July, 2009 [php]  
Stochastically forced fluid equations: Transfer between scales and ergodicity., AMS Sectional Meeting (invited talk), April 4, 2009 [html]  
Trouble with a chain of stochastic oscillators, PACM, Princeton University, 3 April 2009 [colloquium.shtml]  
What makes the ergodic theory if Markov Chains in infinite dimensions different (and dificult) ?, Princeton Ergodic theory seminar, March 3, 2009 [html]  
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 [schedule.aspx]  
The spread of randomness through dimensions, IPAM, November, 2008 [schedule.aspx]  
Troubles with oscillators, Stanford: JBK85, Workshop on Applied Mathematics IN HONOR OF JOSEPH B. KELLER, October, 2008 [available here]  
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 [available here]  
Troubles with chains of anharmonic oscillators, Statisical Mechaniques working group, June, 2008 [html]  
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 [semester-w-0708-workshops]  
Ergodicity of Degenerately forced SPDES, Sixth Northeast Probability Seminar, November 16, 2007 [available here]  
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 [html]  
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 [htm]  
Anomalous dissipation and ergodicity in stochastically forced fluid models, Stanford Mathematics Colloquium, April 12, 2007 [available here]  
Smooth densities for degenerate SPDEs: Malliavin calculus and controllability, Stochastic Dynamical Systems and Control, March 26, 2007 [show_workshop]  
Ergodicity in infinite dimensions: SPDEs and the Wasserstein metric, Berkeley Probability Seminar, March 21, 2007 [html]  
Evans Probability Seminar. Ergodicity in infinite dimensions: SPDEs and the Wasserstien metric, Berkeley Mathematics Department, March 21, 2007 [show_specialtalk]  
Ergodicity in infinite dimensions and the spread of randomness, Stanford Probability seminar, February 26, 2007 [pdf]  
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 [available here]  
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 [jpg]  
Semi-Plenary Lecture: Adaptive Schemes for long time simulations of SDEs, Workshop on Stochastic Computation, FoCM'02, IMA, Minneapolis, 14 August 2002 [htm]  
Ergodicity of Stochastically Forced PDEs, CAMP/Nonlinear PDE's Seminar, University of Chicago, 3 June 2002 [html]  
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 [available here]  
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 [abs]  
The stochastically forced 2-dim Navier Stokes equation, Integrating Integrability into Mathematics and Science, Univ. of Arizona, 29 October 1999 [htm]  
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

Tiffany N. Kolba, (September, 2007 - June, 2012)  
Prakash Balachandran, (2008 - 2011)  
Rachel L. Thomas, (September, 2007 - May, 2010)  
David F. Anderson, (2004 - August, 2005)  
Professional Affiliations

AMS
SIAM
IMS

Publications (listed separately)

Last modified: 2013/12/23

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320