2026 Christopher K. R. T. Jones: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	44	1576	1360	680	544	164	8529

Research.com Recognitions

2011 - SIAM Fellow For contributions to dynamical systems, nonlinear partial differential equations, and applications in nonlinear optics, ocean dynamics, and neuroscience.

Overview

Christopher K. R. T. Jones is affiliated with the University of North Carolina at Chapel Hill in the United States. Their research primarily spans the field of Physics and Astronomy, with a focus on several subfields and specialized topics.

The main subfields of study include:

Statistical and Nonlinear Physics
Global and Planetary Change
Atmospheric Science
Computer Networks and Communications
Oceanography

Key topics in their work cover:

Ecosystem dynamics and resilience
Nonlinear Photonic Systems
Climate variability and models
Nonlinear Dynamics and Pattern Formation
Meteorological Phenomena and Simulations
Geophysics and Gravity Measurements
Quantum chaos and dynamical systems

Christopher K. R. T. Jones has published extensively in various venues, with frequent publications in:

UNC Libraries
arXiv (Cornell University)
Physica D Nonlinear Phenomena
Chaos An Interdisciplinary Journal of Nonlinear Science
Foundations of Data Science

Their recent papers include:

"Rate and noise-induced tipping working in concert" (2023), published in Chaos An Interdisciplinary Journal of Nonlinear Science
"An international initiative of predicting the SARS-CoV-2 pandemic using ensemble data assimilation" (2020), published in Foundations of Data Science
"Arctic sea ice data assimilation combining an ensemble Kalman filter with a novel Lagrangian sea ice model for the winter 2019-2020" (2023), published in The Cryosphere
"An international assessment of the COVID-19 pandemic using ensemble data assimilation" (2020), published in bioRxiv (Cold Spring Harbor Laboratory)
"Tipping in a low-dimensional model of a tropical cyclone" (2023), published in Physica D Nonlinear Phenomena

Collaborations have been an important aspect of their research, with frequent co-authors including:

Katherine Slyman
Blake Barker
Emmanuel Fleurantin
Alberto Carrassi
Christian Sampson

In 2011, Christopher K. R. T. Jones was recognized as a SIAM Fellow for contributions to dynamical systems, nonlinear partial differential equations, and applications in nonlinear optics, ocean dynamics, and neuroscience.

Best Publications

Geometric singular perturbation theory

Christopher K. R. T. Jones

1719
Citations
A topological invariant arising in the stability analysis of travelling waves

J Alexander;R Gardner;C Jones

702
Citations
Stability of the travelling wave solution of the FitzHugh-Nagumo system

Christopher K. R. T. Jones

468
Citations
Invariant Manifolds for Semilinear Partial Differential Equations

Peter W. Bates;Christopher K. R. T. Jones

381
Citations
Tracking invariant manifolds with differential forms in singularly perturbed systems

C.K.R.T. Jones;N. Kopell

264
Citations
Ultra-short pulses in linear and nonlinear media

Y Chung;C K R T Jones;T Schäfer;C E Wayne

231
Citations
A Method for Assimilation of Lagrangian Data

Leonid Kuznetsov;K. Ide;C. K.R.T. Jones

193
Citations
Ultra-short pulses in linear and nonlinear media

Y. Chung;C. K. R. T. Jones;T. Schaefer;C. E. Wayne

172
Citations
Tracking invariant manifolds up to exponentially small errors

C. K. R. T. Jones;Tasso J. Kaper;Nancy Kopell

166
Citations
On the infinitely many solutions of a semilinear elliptic equation

C Jones;Alfred Küpper

156
Citations
Instability of standing waves in nonlinear optical waveguides

C.K.R.T. Jones;J.V. Moloney

141
Citations
Stability of travelling waves for non-convex scalar viscous conservation laws

Christopher K. R. T. Jones;Robert Gardner;Todd Kapitula

139
Citations
Quantifying transport in numerically generated velocity fields

P. D. Miller;C. K. R. T. Jones;A. M. Rogerson;L. J. Pratt

132
Citations
Stabilizing effects of dispersion management

Vadim Zharnitsky;Emmanuel Grenier;Christopher K.R.T. Jones;Sergei K. Turitsyn

117
Citations
Instability of standing waves for non-linear Schrödinger-type equations

Christopher K. R. T. Jones

106
Citations
Data assimilation: Mathematical and statistical perspectives

A. Apte;C. K. R. T. Jones;A. M. Stuart;Jochen Voss

101
Citations
A Method for Assimilating Lagrangian Data into a Shallow-Water-Equation Ocean Model

H. Salman;L. Kuznetsov;C. K. R. T. Jones;K. Ide

100
Citations
Invariant manifolds and singularly perturbed boundary value problems

S.-K. Tin;N. Kopell;C. K. R. T. Jones

95
Citations
MULTI-DIMENSIONAL MORSE INDEX THEOREMS AND A SYMPLECTIC VIEW OF ELLIPTIC BOUNDARY VALUE PROBLEMS

Jian Deng;Christopher Jones

90
Citations
Stability of travelling wave solutions of diffusive predator-prey systems

R. Gardner;R. Gardner;R. Gardner;C. K. R. T. Jones

86
Citations

Frequent Co-Authors

Lawrence J. Pratt Tulane University

Björn Sandstede Brown University

Peter W. Bates Michigan State University

Jinqiao Duan Great Bay University

Todd Kapitula Calvin University

Nancy Kopell Boston University

Jerome V. Moloney University of Arizona

Sergei K. Turitsyn Aston University

Laurent Bertino Bjerknes Centre for Climate Research

Jonathan E. Rubin University of Pittsburgh

External Links

Personal website of Christopher K. R. T. Jones

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