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Luke Hatcher

Academic Background

I am currently a fourth year MASDOC student at the university of Warwick, and am under the supervision of Charlie Elliott and Björn Stinner. Before that I completed my MMath also at the University of Warwick.

Research Interests

My primary area of research includes phase-field models and surface PDEs, particularly those with biological applications. Currently I am considering a model for certain shape and pattern formation observed on biological membranes known as lipid rafts. In particular I am considering the case when there is a coupling between the local curvature and local composition of the membrane. Some topics this work includes are gradient flows, a priori estimates (obtained by a Galerkin approximation) to prove existence and uniqueness results, formal asymptotic analysis, Gamma convergence and using Finite Element Software to conduct numerical simulations to explore the qualitative and quantitative behaviour for these problems.

Publications

Presentations

Grants, Scholarships and Awards

  • 1st prize in the 2019 British Applied Mathematics Colloquium (BAMC) Poster competition
  • LMS Bursary to attend the 2019 British Applied Mathematics Colloquium
  • Supported by the UK Engineering and Physical Sciences Research Council (EPSRC) Grant EP/H023364/1 within the MASDOC Centre for Doctoral Training

Conferences and Workshops attended

Teaching

I have recently been awarded Associate Fellow status of The Higher Education Academy in recognition of my engagement with pedagogic literature and compilation of a portfolio reflecting on my teaching experiences through the APPPGR course here at Warwick. A summary of my teaching experience can be found below.

2019/2020

Teaching assistant for MA250 Introduction to PDEs

Teaching assistant for MA258 Mathematical Analysis III

2018/2019

Teaching assistant for MA258 Mathematical Analysis III

Teaching Assistant for MA131 Analysis II

Supervisor for first year undergraduate students

2017/2018

Teaching Assistant for MA131 Analysis II

2015/2016

Supervisor for first year undergraduate students

Contact

My email address is L.Hatcher@warwick.ac.uk and my office is B3.04

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