# Miles H. Wheeler¶

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:
- Office:
4W 1.12

## Papers and preprints¶

Also see profiles on arXiv, MathSciNet, Google Scholar, ORCID.

## 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 [7]), 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¶

For a full list of past teaching see my CV. Recent teaching:

Theory of Partial Differential Equations (Spring 2020, 2021, 2022, 2023, 2024).

Advanced Real Analysis (Fall 2020, 2021, 2022, 2023).

Specialist Reading Course “Generalised Solitary Waves in Fourth Order ODEs” (Spring 2022).

Topics in analysis: fluid mechanics (University of Vienna, Winter 2018).

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

## PhD students¶

Jonathan Sewell (with second supervisor Karsten Matthies)

## CV¶

Last updated May 2024