# 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

- Office hours:
By appointment

## News¶

The Department of Mathematical Sciences at the University of Bath is advertising a Prize Fellowship in Fluid Dynamics, broadly interpreted. This is a two-year fellowship leading to a permanent position at Bath. The deadline is January 29th!

## 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¶

Fall 2022, University of Bath: Advanced Real Analysis

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