Matthew Durey

Instructor in Applied Mathematics
Massachusetts Institute of Technology (MIT)
Department of Mathematics
Google Scholar Profile

https://orcid.org/0000-0002-4232-1705

Research interests

I am an applied mathematician working on the theoretical modeling and analysis of physical systems. The aim of my work is to identify and elucidate the key mechanisms underpinning physical processes, with particular emphasis on dynamics arising at a fluid interface. I mainly focus on the development of reduced models that can be analyzed, simulated and systematically explored, using techniques that bridge the fields of fluid mechanics, dynamical systems, numerical methods and asymptotic analysis. I collaborate with experimental researchers to iterate between theory and the laboratory, with the aim of building a complete physical picture.

CV

• Since Fall 2018: Instructor in Applied Mathematics, Department of Mathematics, Massachusetts Institute of Technology (MIT)


• 2018: PhD, Department of Mathematical Sciences, University of Bath
  • Advisor: Paul A. Milewski
  • Supported by the Engineering and Physical Sciences Research Council (EPSRC)


• 2015: Master of Research (Statistical Applied Mathematics, SAMBa), Department of Mathematical Sciences, University of Bath
  • Advisor: Paul A. Milewski


• 2014: Master of Science (Mathematical Modeling and Scientific Computing), Mathematical Institute, University of Oxford
  • Advisor: Ian J. Hewitt


• 2013: Bachelor of Arts (Mathematics), Mathematical Institute, University of Oxford

Publications

• Classical pilot-wave dynamics: The free particle
  M. Durey & J. W. M. Bush
  Chaos, 31, 033136, 2021
  Featured Article (Scilight)


• Discrete and periodic complex Ginzburg-Landau equation for a hydrodynamic active lattice
  S. J. Thomson, M. Durey & R. R. Rosales
  Physical Review E, 103, 062215, 2021


• Bifurcations and chaos in a Lorenz-like pilot-wave system
  M. Durey
  Chaos, 30, 103115, 2020


• Hydrodynamic Quantum Field Theory: The Onset of Particle Motion and the Form of the Pilot Wave
  M. Durey & J. W. M. Bush
  Frontiers in Physics, 8, 300, 2020


• Collective vibrations of a hydrodynamic active lattice
  S. J. Thomson, M. Durey & R. R. Rosales
  Proceedings of the Royal Society A, 476, 20200155, 2020


• Speed oscillations in classical pilot-wave dynamics
  M. Durey, S. E. Turton & J. W. M. Bush
  Proceedings of the Royal Society A, 476, 20190884, 2020


• The Who Wants to be a Millionaire Dilemma
  M. Durey
  Mathematics Magazine, 93:5, 374-377, 2020


• Faraday pilot-wave dynamics in a circular corral
  M. Durey, P. A. Milewski & Z. Wang
  Journal of Fluid Mechanics, 891, A3, 2020


• Dynamics, emergent statistics, and the mean-pilot-wave potential of walking droplets
  M. Durey, P. A. Milewski & J. W. M. Bush
  Chaos, 28, 096108, 2018


• Faraday wave-droplet dynamics: discrete-time analysis
  M. Durey & P. A. Milewski
  Journal of Fluid Mechanics, 821, 296-328, 2017

Teaching

MIT

• Fall 2021: Instructor, Computational Science and Engineering I (18.085, graduate)


• Spring 2021: Instructor, Principles of Continuum Applied Mathematics (18.300, undergraduate)


• Fall 2020: Instructor, Nonlinear Dynamics: Chaos (18.353, undergraduate)


• Spring 2020: Instructor, Computational Science and Engineering I (18.085, graduate)


• Fall 2019: Instructor, Nonlinear Dynamics: Chaos (18.353, undergraduate)


• Spring 2019: Instructor, Computational Science and Engineering I (18.085, graduate)


• Fall 2018: Recitation instructor, Differential Equations (18.03, undergraduate)

University of Bath

• Spring 2018: Teaching Assistant, Methods and applications 1B (MA10236, undergraduate)


• Spring 2018: Teaching Assistant, Partial Differential Equations and Continuum Mechanics (MA20223, undergraduate)


• Fall 2017: Teaching Assistant, Ordinary Differential Equations and Control Theory (MA20220, undergraduate)


• Fall 2016: Teaching Assistant, Ordinary Differential Equations and Control Theory (MA20220, undergraduate)


• Fall 2016: Lab Assistant, Applied numerical computation (MA50174, graduate)


• Spring 2016: Teaching Assistant, Partial Differential Equations and Continuum Mechanics (MA20223, undergraduate)


• Fall 2015: Teaching Assistant, Ordinary Differential Equations and Control Theory (MA20220, undergraduate)


• Spring 2015: Teaching Assistant, Partial Differential Equations and Continuum Mechanics (MA20223, undergraduate)


• Spring 2015: Lab Assistant, Programming and discrete mathematics 1 (XX10190, undergraduate)