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MASDOC - Mathematics and Statistics Doctoral Training Centre

Matt Galton

About me:

I have now graduated and am working in the Chemical Engineering sector as a numerical analyst, implementing new differential-algebraic equation solvers, optimisers, and various parameter estimation routines. I particularly like filter problems! See my LinkedIn profile https://www.linkedin.com/in/matt-galton/ for more details! :)

During my time at Warwick, I was supervised by Prof. Ian Melbourne.

I am (still!) interested in ergodic theory. In particular, limit theorems (weak invariance principles and enhanced weak invariance principles) for dynamical systems under extremely mild mixing conditions, with applications to deterministic homogenisation.

As part of my MSc, I was involved with a large deviations research study group, supervised by Dr. Stefan Adams and Dr. Roger Tribe. We investigated thermodynamic limits and large deviations for wetting and pinning problems relating to height fields distributed under Gibbs measures in (1+1)-dimensions. We produced a website.

Email: M.Galton 'at' Warwick.ac.uk, Matt.Galton 'at' outlook.com

Preprints:

  • M. Galton and I. Melbourne. Iterated invariance principle for slowly mixing dynamical systems. ArXiv link

Roles:

  • Warwick organisation committee for the 2017 joint DTC (MIGSAA, CCA, OxPDE, MASDOC) student colloquium, held at MIGSAA Edinburgh
  • Warwick MASDOC SSLC secretary 2016-2017
  • Warwick SIAM treasurer 2016-2017

Teaching & Exam Marking:

  • Supervisor for undergraduate analysis & Linear Algebra 2017-2018
  • Exam marking for Geometry & Motion 2016-2017
  • Teaching assistant for Stochastic Processes 2016-2017
  • Supervisor for undergraduate analysis & Linear Algebra 2016-2017

Talks & Posters:

  • Talk: "Limit theorems and the iterated weak invariance principle for slowly mixing dynamical systems" Invited speaker at the Ergodic Theory & Dynamical Systems seminar. Warwick, 2019
  • Poster: Conference titled "Probabilistic Limit Theorems for Dynamical Systems". CIRM, Luminy, 2018
  • Talk: "CLTs for Dynamical Systems: Why should we care?" Annual MASDOC retreat. Brecon, 2017
  • Poster: Annual MASDOC retreat. Brecon, 2017
  • Poster: Joint DTC (MIGSAA, CCA, OxPDE, MASDOC) student colloquium. MIGSAA Edinburgh, 2017
  • Group talk: MSc research study group. Warwick, 2016
  • Group poster: MSc research study group. Warwick, 2016

Other:

I enjoy walking, cooking and playing squash!


Matt_Galton