Skip to main content

Jonathan Christopher Mattingly

Kimberly J. Jenkins Distinguished University Professor of New Technologies
Mathematics
105 Math/Physics Building, Box 90320, Durham, NC 27708
120 Science Drive, I, Durham, NC 27708

Selected Presentations & Appearances


Hearing the Will of the people in the Vote and Computational Challenges - The Miller Family Endowed Mathematics Lecture Series · March 25, 2025 - March 27, 2025 Keynote/Named Lecture Iowa State University,
The Gaussian Structure of the Stochastically Forced Burgers Equation below KPZ - Probability and Mathematical Physics Seminar · December 13, 2024 Invited Talk Courant Institute, NYU,
CLTs in Stratified Spaces - Applied Probability Seminar Series · December 11, 2024 Invited Talk Columbia, University,
A Mathematician Goes to Court - Holiday Lecture · December 2024 Invited Talk Courant Institute , NYU
Computational Challenges in Redistricting - Mathematics Colloquium · November 2024 Invited Talk Courant Institute, NYU
The random tangent field and central limit theorems on stratified spaces - Interactions of Statistics and Geometry · October 2024 International Meeting or Conference IMS NUS, Singapore
Ergodicity, Positive Lyapunov Exponents, and Partial Damping for Random Switching - Analysis Seminar · October 2024 Invited Talk Courant Institute, NYU
Pathwise approach to enhanced dissipation and dissipation - Dynamical System Seminar · September 2024 Invited Talk Courant Institute, NYU
Hearing the Will of the People in the Vote: Computational Challenges in Redistricting - Plenary Lecture · July 2024 Keynote/Named Lecture SIAM Annual Meeting, Spokane, WI
Approximating Sampling in Bayesian Statistics and Stochastic Computing, Stochastic Analysis and Generative Diffusions - Generative diffusions and Stochastic Analysis · June 2024 International Meeting or Conference Alan Turing Institute, London, UK
The Gaussian Structure of the Singular Stochastic Burgers Equation - Southeastern Sectional Meeting · April 2024 National Scientific Meeting AMS, Howard University
Ergodicity, Positive Lyapunov Exponents and Partial Damping in randomly switched systems - Distinguished Lecturer · March 2024 Keynote/Named Lecture Indiana University,
Computational Challenges in hearing the will of the people in the vote - Distinguished Lecturer · March 2024 Keynote/Named Lecture Indiana University,
Optimal Mixing - Distinguished lecturer · March 2024 Keynote/Named Lecture Indiana University,
Ergodic Results for Stochastically Forced Fluid Equations - Distinguished Lecturer · March 2024 Keynote/Named Lecture Indiana University,
Randomly Switched Dynamics · December 2023 Invited Talk Berkeley Probablity Seminar, Berkeley Statistics Department
Analysis and PDE Seminar: Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on 2D Torus - Applied Mathematics Seminar · November 2023 Invited Talk Stanford University,
Analysis and PDE Seminar: Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on 2D Torus - PDE and Anlayisis Seminar · October 2023 Invited Talk UC Berkeley Mathematics,
Random Switching in Fluid Models - Fluid Equations, A Paradigm for Complexity: Regularity vs Blow-up, Deterministic vs Stochastic · October 2023 Instructional Course, Workshop, or Symposium BIRS Math Institute , Banff, CA
Mathematics Department Colloquium: Computational and Theoretical Challenges in hearing the will of the people in the Vote · September 2023 Invited Talk UC Berkeley Deprtment Colloquium ,
A new model of randomly forced Fluid equations · July 2023 Invited Talk University of Pisa, Pisa, Italy
A randomly split model for Euler Dynamics - Stochastic PDEs and Related Topics · October 2022 Instructional Course, Workshop, or Symposium Brin Mathematics Reseawrch Center, University of Maryland
A model for random Euler and Navier Stokes equations based on a randomized splitting of the dynamics. - Small Scale Dynamics in Fluid Motion · June 13, 2022 - June 24, 2022 International Meeting or Conference Simons Center for Geometry and Physics,
Random Splitting for Euler's equations - Mathematical physics at coffee, the first 50 years · June 2022 International Meeting or Conference University of Geneva,

75th Birthday of JP Eckmann

Thinking about Erodidicy of SPDEs - Unifying concepts in PDEs with randomness · May 16, 2022 - May 27, 2022 Instructional Course, Workshop, or Symposium Centre de Rechearch Menthematique, Montreal

Five lecture mini-course

Using Computational Sampling to Quantify Gerrymandering - Boeing Seminar · March 10, 2022 Invited Talk Applied MAth, University of Washington
A new model of randomly forced Fluid equations - Members seminar · December 2021 Invited Talk IAS,
The Mathematics and Policy of Gerrymandering · December 2021 Invited Talk IAS,

All institute talk to mathematicians, scientists, and social scientists

A new model of randomly forced Fluid equations · November 2021 Invited Talk Princeton Fluids Seminar,
Barton Lectures in Computational Mathematics · November 2021 Keynote/Named Lecture UNCG,
A new model of randomly forced Fluid equations - Conference on Wave Turbulence · October 2021 Invited Talk ICEM,
Panel on Qunatifying Gerrymandering - Redistricting and American Democracy · October 2021 International Meeting or Conference Democracy in America,
Non-reversible samplers for Gerrymandering - Non reversible MCMC · August 2021 International Meeting or Conference Netherlands
Hearing the Will of the People - Joint Stats Meeting · August 2021 International Meeting or Conference ISM,
IE Block Community Lecture · July 2021 Keynote/Named Lecture SIAM, SIAM Annual Meeting
The Gaussian Structure of the Stochastically Forced Burgers Equation - SPDE & Friends · May 2021 International Meeting or Conference Berlin
Gaussian Structure of Stochastic Burgers - Wave Turbulence online seminar · February 2021 Invited Talk
Gaussian Structure of Burgers Equation · January 2021 International Meeting or Conference India (online)
Sampling to Understand Gerrymandering and Influence Public Policy - Policymaking in Operations Research · January 2021 Instructional Course, Workshop, or Symposium MIT,
Quantifying and Understanding Gerrymandering - How a quest to understand his state's political geography led a mathematician to court - Public Lecture · October 2020 Keynote/Named Lecture ICERM ,
New Sampling Methods of Quantifying Gerrymandering · October 2020 Invited Talk Brown Applied Math Colloquium ,
New Sampling Methods to Quantify Gerymandering - Redistricting Conference 2020 · March 2020 Lecture Duke Law and TRIPODS, IID
Quantifying Gerrymandering Using Sampling · January 2020 National Scientific Meeting AAAS, National Meeting in Seattle
Long Time Numerical Simulation of SDEs · 2019 Keynote/Named Lecture SciCADE2019 , Insbruk
AMS Regional Meeting Plenary Speaker · 2019 Keynote/Named Lecture AMS, Gainesville
Quantifying Gerrymandering: A Mathematician Goes to Court - PCMI Public Lecture · July 2018 Invited Talk
Interactions between noise and instabilities. - Stochastic Dynamics Out of Equilibrium · July 2018 Invited Talk IHP, Paris,
Anatomy of an ergodic theorem - Recent trends in continuous and discrete · June 2018 - June 2018 Lecture Summer School

One of two principle lecturers.

Approximate/exact controllability and ergodicity for (additive noise) SPDEs/SODEs - Stochastic Partial Differential Equations · May 2018 Invited Talk CIRM, Marseilles ,
Ergodicity of Singular SPDEs - Transport and localization in random media: theory and applications · May 2018 Invited Talk Columbia
Discovering the geopolitical structure of the United States through Markov Chain Monte Carlo sampling - Data driven modelling of complex systems · May 2018 Invited Talk The Alan Turing Institute, UK,
Quantifying Gerrymandering: A mathematician goes to court - 2018 Niven Lecture · May 2018 Keynote/Named Lecture UBC,
Quantifying Gerrymandering: a mathematician goes to court - de Leeuw Distinguished Lecture Series · March 2018 Keynote/Named Lecture Stanford Mathematics Department,
Drawing the line in redistricting (A mathematician's take) - Institute for International Studies · March 2018 Invited Talk Stanford University,
Ergodic and global solutions for singular SPDEs - FRONTIER PROBABILITY DAYS · March 2018 Invited Talk Corvallis, Oregon
A mathematician Goes to Court - 2017 Fields Medal Symposium · October 2017 Invited Talk
Stabilization of Stochastic Dynamics - Turbulence, Mixing and stability · January 2017 Invited Talk IPAM, UCLA
Stochastic PDEs - Gene Golub SIAM Summer School · July 2016 - August 2016 Keynote/Named Lecture
Stabilization and noise - Department Colloquium · November 12, 2015 Invited Talk Berekey Mathematics Department,
Stochastic PDEs - Analysis of PDEs of Fluid Mechanics · October 2015 Invited Talk

A 4 lecture minicourse at Rice

Ergodicity Finite and Infinite dimentional Markov Chains - CRM-PIMS Summer School in Probability · July 2015 Invited Talk McGill University,

A week long minicourse (8 hours of lecture)

Dynamics Days 2014 · January 4, 2014 Lecture Atlanta GA
Stabilization by Noise · November 19, 2013 Lecture
Uniqueness of the inviscid limit in a simple model damped/driven system. · November 5, 2013 Lecture Probability and Mathematical Physics Seminar
Stochastic stabilization of OEDs. · September 6, 2013 Lecture Applied Math Seminar, NYU
Stochastic partial differential equations · August 1, 2013 Lecture SPA2013
Stabilization by noise · May 1, 2013 Lecture University of Maryland
Stablization by Noise · February 14, 2013 Lecture Conférence en l'honneur d'Etienne Pardoux, CIRM, Marseillais France.
Perspectives on Ergodicity · January 14, 2013 Lecture Conference on SPDEs, IMA, Minnesota
A Numerical Method for the SDEs from Chemical Equations · December 1, 2012 Lecture Probability and Biology section, 2012 Canadian Mathematical society (winter meeting)
Minerva Lectures: Erodicity of Markov Processes: From Chains to SDEs to SPDEs · November 1, 2012 Lecture Mathematics Department, Columbia University
A Menagerie of Stabilization · July 1, 2012 Lecture Joint Probability and Analysis Seminar, Nice, France
Stochastic Stabilization · July 1, 2012 Lecture Inria - Sophia Antipolis
Building Lyapunov Functions (4 lectures) · March 1, 2012 Lecture EPSRC Symposium Workshop – Easter Probability Meeting
Noise Induced Stability · February 1, 2012 Lecture MBI
A Menagerie of Stochastic Stabilization · October 18, 2011 Lecture CAMP/Probability Seminar, University of Chicago
A menagerie of stochastic stabilization · August 1, 2011 Lecture Equadiff 2011, Loughborough University
Coarse–graining of many–body systems: analysis, computations and applications · July 1, 2011 Lecture
Ergodicity of systems with singular interaction terms · November 18, 2010 Lecture Stochastic Dynamics Transition Workshop, SAMSI
Oberwolfach Seminar: The Ergodic Theory of Markov Processes · October 1, 2010 Lecture Oberwolfach, Germany
Malliavin Calculus to prove ergodic theorems for SPDEs · August 13, 2010 Lecture ICM Satellite Conference on Probability and Stochastic Processes Indian Statistical Institute, Bangalore
SPDE scaling limits of an Markov chain Montecarlo algorithm · June 28, 2010 Lecture Stochastic Partial Differential Equations: Approximation, Asymptotics and Computation, Newton Institute
The spread of randomness · June 1, 2010 Lecture German-American Frontiers of Science, Potsdam Germany
How to prove an ergodic theorem · May 1, 2010 Lecture oberwolfach
Coupling at infinity · March 30, 2010 Lecture Seminar on Stochastic Processes
Long time stochastic simiulation · March 15, 2010 Lecture Imperial College
Spectral Gaps in Wasserstien Distance · March 4, 2010 Lecture Ergodic Theory Seminary, Princeton Mathematics
Trouble with a chain of stochastic oscillators · March 2, 2010 Lecture PACM, Princeton University
Hypo-ellipticity for SPDEs · March 1, 2010 Lecture SPDE program , Newton Institute
Numerics of SDEs · February 24, 2010 Lecture Warwick University, UK
Long Time Behavior of Stochastically Forced PDEs. · January 14, 2010 Lecture AMS Joint Meeting, San Francisco
Ellipticity and Hypo-ellipticity for SPDEs *or* What is ellipticity in infinite dimensions anyway? · January 8, 2010 Lecture Stochastic Partial Differential Equations, Newton Institute
SPDE Limits of the Random Walk Metropolis Algorithm in High Dimensions · December 7, 2009 Lecture SIAM PDE Meeting
Stochastic fluctuations in bio chemical networks · November 9, 2009 Lecture MBI: Mathematical Developments Arising from Biology
Introduction to Ergodicity in Infinite Dimentions · July 1, 2009 Lecture TU Berlin
What makes infinite dimensional Markov processes different ? · July 1, 2009 Lecture Stochastic Process and Applications, Berlin
Stochastically forced fluid equations: Transfer between scales and ergodicity. · April 4, 2009 Lecture AMS Sectional Meeting (invited talk)
Trouble with a chain of stochastic oscillators · April 3, 2009 Lecture PACM, Princeton University
What makes the ergodic theory if Markov Chains in infinite dimensions different (and dificult) ? · March 3, 2009 Lecture Princeton Ergodic theory seminar
Ergodicity, Energy Transfer, and Stochastic Partial Differential Equations · December 15, 2008 Lecture Columbia University, Columbia University
The Spread of Randomness: Ergodicity in Infinite Dimensions · December 15, 2008 Lecture Mathematisches Forschungsinstitut Oberwolfach
The spread of randomness through dimensions · November 1, 2008 Lecture IPAM- Mathematical Frontiers in Network Multi-Resolution Analysis
The spread of randomness through dimensions · November 1, 2008 Lecture IPAM
Troubles with oscillators · October 1, 2008 Lecture Stanford: JBK85, Workshop on Applied Mathematics IN HONOR OF JOSEPH B. KELLER
What is different about the ergodic theory of stochastic PDEs (vs ODEs) · October 1, 2008 Lecture UC Irvine, PDE and Probabilty Seminar
Trouble with a chain of stochastic oscillators · September 1, 2008 Lecture Stochastic Seminar, GaTech
Troubles with oscillators · August 1, 2008 Lecture East Midlands Stochastic Analysis Seminars
Troubles with chains of anharmonic oscillators · June 1, 2008 Lecture Statisical Mechaniques working group
The spread of randomness in infinite dimensions and ergodicity for SPDEs · June 1, 2008 Lecture Stochastic Analysis, Random Fields and Applications, Asscona IT
Ergodicity of Degenerately forced SPDEs · May 27, 2008 Lecture Séminaire de Probabilités,Laboratoire de Probabilités et Modèles Aléatoires des Universités Pierre et Marie Curie et Denis Diderot
Ergodicity of Degenerately forced SPDEs · May 1, 2008 Lecture ETH, Zurich

Outreach & Engaged Scholarship


Data+ Project Leader - Data+ · 2021 - 2022 Projects & Field Work Information, Society & Culture
Bass Connections Faculty Team Leader - Gerrymandering and the Extent of Democracy in America · 2018 - 2019 Projects & Field Work flag North Carolina

Primary Theme: Information, Society & Culture

Gerrymandering has been increasingly used to undermine the Democratic process. Although there remains no standard to detect partisan gerrymandering, we have begun to develop promising and potentially justiciable techniques. These techniques expose the natural geopolitical structure of a region, and understanding this structure can be used to identify political and racial gerrymandering.

Bass Connections Faculty Team Leader - Data+ Project Lead · 2017 Projects & Field Work

Primary Theme: Information, Society & Culture

Bass Connections Faculty Team Member - Data+ · June 2016 - July 2016 Projects & Field Work flag United States of America
Bass Connections Faculty Team Member - Data+ · June 2015 - August 2016 Projects & Field Work flag United States of America
Organizer - Discovering Research in Mathematics · 2011 - 2018 Community Outreach Organize a year long research experience in mathematics for 4-8 advanced NCSSM Highschool students with a Duke faculty member. Personally was the mentoring faculty in (2011,,2012,2018)

Service to the Profession


Trustee of the American Mathematics Society · 2024 - 2029 Committee Service AMS,
Member - Committee on the Profession · 2024 Committee Service AMS,
Co-organizer - Algorithms, Fairness, and Equity Program · August 2023 - December 2023 Event/Organization Administration MSRI/SLMath,
Chair of Scientific Advisory Committee - Pacific Institute of Mathematical Sciences · 2023 - 2026 Committee Service
Scientific Advisory Committee · 2022 - 2025 Committee Service Pacific Institute of Mathemtical Scineces,
Organizing Committee - SIAM online PDE seminar · 2022 - 2022 Committee Service SIAM,
Member - Committee on Science Policy · 2022 - 2025 Committee Service SIAM,
Participant - Faculty Curriculum on Anti-Racism · January 11, 2021 - January 14, 2021 Professional Development Duke Office of Faculty Advancement,
Committee to Select the Gibbs Lecturer for 2020 and 2021 · February 2019 - January 2021 Committee Service AMS,
Scientific Advisory Board - Southeast Center for Mathematics and Biology · 2019 - 2023 Committee Service GA Tech,
Co-Organizer - Quantifying Gerrymandering · October 2018 Event/Organization Administration SAMSI,
Co-Organizer - Regional Gerrymandering Conference · November 2017 Event/Organization Administration
Co-Organizer - Interacting particle systems with applications in Biology, Ecology, and Statistics PHYSICS · May 2017 Event/Organization Administration NSF, Duke
Board of Trustees - ICERM · 2017 - 2023 Committee Service NSF Math Institute , Brown University
PDE and Infinite Dimensional Stochastic - Organiser Special Term · August 2015 - December 2015 Event/Organization Administration MSRI, Berkeley CA,
Associate editor Nonlinearity · December 2013 Editorial Activities
Organized invited session at SPA2013 · August 2013 Event/Organization Administration
Co Organizer (with Amarjit Budhiraja ) : Seminar on Stochastic Processes 2013 · March 2013 Event/Organization Administration Duke University
Local Orgnaizer (with Rick Durrett) : Woman in Probability III · October 2012 Event/Organization Administration
Associate Editor : Journal of Stochastic Partial Differential Equations · September 2012 Editorial Activities
SAMSI Stochastic Dynamics tradition workshop · November 2010 Event/Organization Administration
MFO week long school on ergodic theory · October 2010 Event/Organization Administration
SAMSI Opening Workshop for Stochastic Dynamics · August 2009 Event/Organization Administration
AMS Short Course Selelction Committee · 2009 - 2011 Other
local liaison/Organizer SAMSI year on stochastic dynamics · 2009 - 2010 Event/Organization Administration
Scientific Advisory Committee · 2009 - 2012 Committee Service NimBios, NSF Math/Bio center, University of Tennessee
Committee on Commitees · 2008 - 2009 Committee Service AMS,
Organiser Special Term · August 2007 - December 2007 Event/Organization Administration MSRI, Berkeley CA,

Service to Duke


Distinguished Professor Selection Committee (University) · 2021 - 2024 Committee Service
A&S Finance Dean Hiring Committee (University) · 2019 Committee Service
Library Committee (University) · 2018 - 2024 Committee Service