Personal information

Activities

Employment (5)

University of California, Irvine: Irvine, California, US

2021-07-01 to present | Assistant Professor (Mathematics)
Employment
Source: Self-asserted source
Paul Carter

University of Minnesota: Minneapolis, MN, US

2019-08 to present | Assistant Professor (School of Mathematics)
Employment
Source: Self-asserted source
Paul Carter

University of Minnesota: Minneapolis, Minnesota, US

2019-08-26 to 2022-08-28 | Faculty, Assistant Professor (School of Mathematics)
Employment
Source: check_circle
Experts@Minnesota

University of Arizona: Tucson, AZ, US

2016-08 to 2019-07 | Postdoctoral Research Associate (Department of Mathematics)
Employment
Source: Self-asserted source
Paul Carter

Leiden University: Leiden, NL

2017-06 to 2018-07 | Postdoctoral Researcher (Mathematical Institute)
Employment
Source: Self-asserted source
Paul Carter

Education and qualifications (3)

Brown University: Providence, RI, US

2011-09 to 2016-05 | PhD (Department of Mathematics)
Education
Source: Self-asserted source
Paul Carter

University of Cambridge: Cambridge, Cambridgeshire, GB

2010-10 to 2011-06 | MASt (Department of Applied Mathematics and Theoretical Physics)
Education
Source: Self-asserted source
Paul Carter

University of Oxford: Oxford, Oxfordshire, GB

2007-10 to 2010-06 | BA (Mathematical Institute)
Education
Source: Self-asserted source
Paul Carter

Funding (5)

CAREER: Pattern formation in singularly perturbed partial differential equations

2023-06-01 to 2028-05-31 | Grant
Directorate for Mathematical & Physical Sciences (Alexandria, US)
GRANT_NUMBER: 2238127
Source: Self-asserted source
Paul Carter via DimensionsWizard

Patterns and Bifurcations in Multiple Timescale Dynamical Systems

2021-11-01 to 2023-07-31 | Grant
Directorate for Mathematical & Physical Sciences (Alexandria, US)
GRANT_NUMBER: 2204758
Source: Self-asserted source
Paul Carter via DimensionsWizard

Self-Organization, Stability, and Defects in Pattern-Forming Systems

2021-09-01 to 2024-08-31 | Grant
Directorate for Mathematical & Physical Sciences (Alexandria, US)
GRANT_NUMBER: 2105816
Source: Self-asserted source
Paul Carter via DimensionsWizard

Patterns and Bifurcations in Multiple Timescale Dynamical Systems

2019-10-01 to 2021-12-31 | Grant
Directorate for Mathematical & Physical Sciences (Alexandria, US)
GRANT_NUMBER: 2016216
Source: Self-asserted source
Paul Carter via DimensionsWizard

Patterns and Bifurcations in Multiple Timescale Dynamical Systems

2018-08-01 to 2021-07-31 | Grant
Directorate for Mathematical & Physical Sciences (Arlington, US)
GRANT_NUMBER: 1815315
Source: Self-asserted source
Paul Carter via DimensionsWizard

Works (23)

Travelling pulses on three spatial scales in a Klausmeier-type vegetation-autotoxicity model

Nonlinearity
2024-09-02 | Journal article
Part of ISSN: 0951-7715
Part of ISSN: 1361-6544
Contributors: Paul Carter; Arjen Doelman; Annalisa Iuorio; Frits Veerman
Source: Self-asserted source
Paul Carter

A Stabilizing Effect of Advection on Planar Interfaces in Singularly Perturbed Reaction-Diffusion Equations

SIAM Journal on Applied Mathematics
2024-06-30 | Journal article
Contributors: Paul Carter
Source: check_circle
Crossref

Large Amplitude Radially Symmetric Spots and Gaps in a Dryland Ecosystem Model

Journal of Nonlinear Science
2023-12 | Journal article
Part of ISSN: 0938-8974
Part of ISSN: 1432-1467
Contributors: Eleanor Byrnes; Paul Carter; Arjen Doelman; Lily Liu
Source: Self-asserted source
Paul Carter

Criteria for the (in)stability of planar interfaces in singularly perturbed 2-component reaction–diffusion equations

Physica D: Nonlinear Phenomena
2023-02 | Journal article
Contributors: Paul Carter; Arjen Doelman; Kaitlynn Lilly; Erin Obermayer; Shreyas Rao
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

PREFACE

Discrete and Continuous Dynamical Systems - Series S
2022-09 | Other | Author
SOURCE-WORK-ID:

78ae98c6-404a-4c1b-9cf7-2e355229e0d1

EID:

2-s2.0-85135481486

Contributors: Paul Carter; Ryan Goh; Björn De Rijk; Qiliang Wu
Source: check_circle
Experts@Minnesota

WIGGLY CANARDS

Discrete and Continuous Dynamical Systems - Series S
2022-09 | Journal article | Author
SOURCE-WORK-ID:

5c957a4a-05fe-4103-9f98-cfcb3f892b8f

EID:

2-s2.0-85135483488

Contributors: Paul Carter; Alan R. Champneys
Source: check_circle
Experts@Minnesota

Enabling Equation-Free Modeling via Diffusion Maps

Journal of Dynamics and Differential Equations
2022-01-28 | Journal article
Part of ISSN: 1040-7294
Part of ISSN: 1572-9222
Contributors: Tracy Chin; Jacob Ruth; Clayton Sanford; Rebecca Santorella; Paul Carter; Bjorn Sandstede
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Pulse replication and accumulation of eigenvalues

SIAM Journal on Mathematical Analysis
2021 | Journal article | Author
SOURCE-WORK-ID:

1a5029e1-183d-48d8-88de-70b7dac31977

EID:

2-s2.0-85108715836

Contributors: Paul Carter; Jens D.M. Rademacher; Bjorn Sandstede
Source: check_circle
Experts@Minnesota

Existence of transonic solutions in the stellar wind problem with viscosity and heat conduction

SIAM Journal on Applied Dynamical Systems
2021-02-18 | Journal article | Author
SOURCE-WORK-ID:

cba5dc8a-aa53-459a-a43d-073cfecb7ee5

EID:

2-s2.0-85103627340

Contributors: Adam Bauer; Paul Carter
Source: check_circle
Experts@Minnesota

Spike-Adding Canard Explosion in a Class of Square-Wave Bursters

Journal of Nonlinear Science
2020-12 | Journal article
Contributors: Paul Carter
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Isolas versus snaking of localized rolls

Journal of Dynamics and Differential Equations
2019-09 | Journal article
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Localized Radial Roll Patterns in Higher Space Dimensions

SIAM Journal on Applied Dynamical Systems
2019-08 | Journal article
Part of ISSN: 1536-0040
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems

Nonlinearity
2019-07 | Journal article
Part of ISSN: 0951-7715
Part of ISSN: 1361-6544
Source: Self-asserted source
Paul Carter

Traveling stripes in the Klausmeier model of vegetation pattern formation

SIAM Journal on Applied Mathematics
2018 | Journal article
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Unpeeling a Homoclinic Banana in the FitzHugh--Nagumo System

SIAM Journal on Applied Dynamical Systems
2018 | Journal article
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Wave train selection by invasion fronts in the FitzHugh--Nagumo equation

Nonlinearity
2018 | Journal article
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Assimilating Eulerian and Lagrangian data in traffic-flow models

Physica D: Nonlinear Phenomena
2017 | Journal article
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

On functions whose mean value abscissas are midpoints, with connections to harmonic functions

The American Mathematical Monthly
2017 | Journal article
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Relaxing the Integral Test: A Challenge for the Advanced Calculus Student

The College Mathematics Journal
2017 | Journal article
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Transonic canards and stellar wind

Nonlinearity
2017 | Journal article
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Stability of traveling pulses with oscillatory tails in the FitzHugh--Nagumo system

Journal of Nonlinear Science
2016 | Journal article
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Fast pulses with oscillatory tails in the FitzHugh--Nagumo system

SIAM Journal on Mathematical Analysis
2015 | Journal article
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Multi-jam solutions in traffic models with velocity-dependent driver strategies

SIAM Journal on Applied Mathematics
2014 | Journal article
Source: Self-asserted source
Paul Carter
grade
Preferred source (of 2)‎

Peer review (3 reviews for 3 publications/grants)

Review activity for Archive for rational mechanics and analysis. (1)
Review activity for Journal of nonlinear science. (1)
Review activity for Zeitschrift für angewandte Mathematik und Physik : (1)