Miles H. Wheeler

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I am a Lecturer (Assistant Professor) in Analysis in the Department of Mathematical Sciences at the University of Bath. Before coming to Bath, I was a University Assistant at the Faculty of Mathematics at the University of Vienna, and before that I was a postdoc at the Courant Institute of Mathematical Sciences supported by an NSF fellowship. I am interested in partial differential equations coming from fluid mechanics, especially “large-amplitude” solutions that cannot be captured using perturbative techniques.

Email:

mw2319@bath.ac.uk

Office:

4W 1.12

Office hours:

By appointment

Papers and preprints

Expository notes and talks

For a more accessible introduction to the sort of work I do, see this expository talk on solitary waves and fronts (and Section 5 of [3]), or this short introduction to local and global bifurcation theory. The talk is from a series on steady water waves in the ONEPAS seminar, and the notes are from a 2019 lecture to a group of masters students in mathematics and physics.

Teaching

  • Spring 2022, University of Bath: Theory of Partial Differential Equations

  • Fall 2021, University of Bath: Advanced Real Analysis

  • Spring 2021, University of Bath: Theory of Partial Differential Equations

  • Fall 2020, University of Bath: Advanced Real Analysis

  • Spring 2020, University of Bath: Theory of Partial Differential Equations

  • Summer 2019, University of Vienna: Tutorial on ordinary differential equations.

  • Winter 2018, University of Vienna: Topics in analysis: fluid mechanics

  • Summer 2018, University of Vienna: Tutorial on ordinary differential equations.

  • Winter 2017, University of Vienna: Tutorial on partial differential equations.

  • Fall 2016, NYU: Instructor for Math-UA 325, Analysis I (Section 3).

  • Spring 2015, NYU: Instructor for Math-UA 121, Calculus I (Section 6).

  • Fall 2014, NYU: Instructor for Math-UA 122, Calculus II (Section 3).

  • Fall 2012, Brown University: Instructor (TF) for Math 200, Intermediate (Multivariable, Physics/Engineering) Calculus.

  • Spring 2012, Brown University: Instructor (TF) for Math 200, Intermediate (Multivariable, Physics/Engineering) Calculus.

  • Spring 2012, Brown University: TA for Math 100 (Calculus II).

  • Fall 2010, Brown University: TA for Math 100 (Calculus II).

David Lowry-Duda and I also wrote an expository paper aimed at undergraduates which appeared in the American Mathematical Monthly and won an award from the MAA.

CV

Last updated August 2022

Some figures (mostly from talks)

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