Positions

Research Areas research areas

Overview

  • My primary research interest is understanding turbulence through dynamical systems theory. The key idea is to compute unstable invariant solutions of the Navier-Stokes equations (steady states, traveling waves, and periodic orbits) and describe turbulent dynamics as a chaotic walk between these unstable solutions along the low-dimensional network of their unstable manifolds. Additional interests include numerical methods, scientific computing, open-source software, the Julia programming language, and open education.
  • Teaching Activities

  • Doctoral Research Taught course
  • Doctoral Research Taught course
  • Doctoral Research Taught course 2023
  • Intro to Engineering Computing Taught course 2023
  • Mathematical Proof Taught course 2023
  • Doctoral Research Taught course 2022
  • Intro to Numerical Methods I Taught course 2022
  • Numerical Linear Algebra Taught course 2022
  • Diff Equation w/Linear Algebra Taught course 2022
  • Doctoral Research Taught course 2022
  • Doctoral Research Taught course 2021
  • Mathematical Proof Taught course 2021
  • Numerical Linear Algebra Taught course 2021
  • Diff Equation w/Linear Algebra Taught course 2021
  • Intro Nonlinear Dynamics&Chaos Taught course 2021
  • Mathematical Proof Taught course 2020
  • Numerical Linear Algebra Taught course 2020
  • Diff Equation w/Linear Algebra Taught course 2020
  • Mathematical Proof Taught course 2020
  • Mathematical Proof Taught course 2019
  • Numerical Linear Algebra Taught course 2019
  • Spatiotemp. & Turb. Dynamics Taught course 2019
  • Diff Equation w/Linear Algebra Taught course 2018
  • Mathematics and Apps in MATLAB Taught course 2018
  • Intro to Numerical Methods I Taught course 2017
  • Numerical Linear Algebra Taught course 2017
  • Intro to Numerical Methods I Taught course 2016
  • Numerical Linear Algebra Taught course 2016
  • Mathematics and Apps in MATLAB Taught course 2016
  • Spatiotemp. & Turb. Dynamics Taught course 2016
  • Adv Rsrch Exp/Mathematics Taught course 2015
  • Diff Equation w/Linear Algebra Taught course 2015
  • Numerical Linear Algebra Taught course 2015
  • Diff Equation w/Linear Algebra Taught course 2015
  • Mathematics and Apps in MATLAB Taught course 2015
  • Mathematics and Apps in MATLAB Taught course 2014
  • Numerical Linear Algebra Taught course 2014
  • Diff Equation w/Linear Algebra Taught course 2014
  • Spatiotemp. & Turb. Dynamics Taught course 2014
  • Education And Training

  • B.A. Liberal Arts, St. John's College
  • Ph.D. Theoretical & Applied Mechanics, Cornell University
  • Georgia Institute of Technology, Atlanta , School of Physics, Postdoctoral Fellow - Nonlinear Dynamics 2005 - 2010
  • Full Name

  • John Gibson
  • Mailing Address

  • University of New Hampshire

    Mathematics and Statistics

    33 Academic Way

    Durham, New Hampshire  03824

    USA