I am an Assistant Adjunct Professor in the mathematics department at UCLA.

I completed my PhD in 2015 at the University of California, Berkeley under the supervision of Daniel Tataru. From 2015–2018, I was a Simons Junior Fellow at the Courant Institute, NYU.

I will be on the job market in the Fall of 2021.

## Research

My research interests are in PDE and analysis. Primarily, I work on problems arising from the study of nonlinear waves and fluid dynamics.

My current interests include integrable PDEs, vortex filaments, degenerate dispersive equations, and surface and internal waves.

## Publication list

- (with R. Killip and M. Vişan) Large-data equicontinuity for the derivative NLS.
*Preprint*, 2021.
- (with R. Killip and M. Vişan) Microscopic conservation laws for integrable lattice models.
*Monatsh. Math.*, to appear.
- (with J. L. Marzuola) Local well-posedness for a quasilinear Schrödinger equation with degenerate dispersion.
*Indiana Univ. Math. J.*, to appear.
- (with R. Killip and M. Vişan) Sharp well-posedness for the cubic NLS and mKdV in \(H^s(\mathbb{R})\).
*Preprint*, 2020.
- (with J. Bedrossian and P. Germain) Vortex filament solutions of the Navier-Stokes equations.
*Comm. Pure Appl. Math.*, to appear.
- (with P. Germain and J. L. Marzuola) Existence and uniqueness of solutions for a quasilinear KdV equation with degenerate dispersion.
*Comm. Pure Appl. Math.*, 72(11):2449-2484, 2019.
- (with P. Germain and J. L. Marzuola) Compactons and their variational properties for degenerate KdV and NLS in dimension 1.
*Quart. Appl. Math.*, 78(1):1-32, 2020.
- (with J. L. Marzuola) Small data global solutions for the Camassa-Choi equations.
*Nonlinearity*, 31(5):1868–1904, 2018.
- (with M. Ifrim and D. Tataru) Finite depth gravity water waves in holomorphic coordinates.
*Ann. PDE*, 3(1):Paper No. 4, 102, 2017.
- (with M. Ifrim and D. Tataru) The lifespan of small data solutions to the KP-I.
*Int. Math. Res. Not. IMRN*, 2017(1):1–28, 2017.
- Long time behavior of solutions to the mKdV.
*Comm. Partial Differential Equations*, 41(2):282–317, 2016.
- Large data local well-posedness for a class of KdV-type equations II.
*Int. Math. Res. Not. IMRN*, 2015(18):8590–8619, 2015.
- Large data local well-posedness for a class of KdV-type equations.
*Trans. Amer. Math. Soc.*, 367(2):755–773, 2015.

## Teaching

I am honored to have received an Award for Continued Excellence in Teaching for 2020–2021 and a Distinguished Teaching Award for 2019–2020 from the UCLA mathematics department.

During the Fall 2021 quarter I am teaching:

- Math 32B: Calculus of Several Variables
- Math 134: Linear and Nonlinear Systems of Differential Equations

Class details may be found on CCLE.

## Previous teaching

### Instructor, UCLA

- Topics in Analysis, Spring 2021.
- Calculus of Several Variables, Winter 2021.
- Ordinary Differential Equations, Winter 2021.
- Linear and Nonlinear Systems of Differential Equations, Fall 2020.
- Introduction to Probability and Statistics: Probability, Spring 2020.
- Introduction to Probability and Statistics: Probability, Winter 2020.
- Probability Theory, Fall 2019.
- Analysis, Spring 2019.
- Calculus of Several Variables, Winter 2018.
- Calculus of Several Variables, Fall 2018.

### Instructor, New York University

- Discrete Mathematics, Spring 2018.
- Ordinary Differential Equations, Fall 2017.
- Calculus 1, Fall 2016.

### TA, University of California, Berkeley

- Analytic Geometry and Calculus, Fall 2014.
- Multivariable Calculus, Fall 2013.
- Introduction to Topology & Analysis, Spring 2013.
- Analytic Geometry and Calculus, Spring 2012.
- Linear Algebra & Differential Equations, Fall 2011.
- Multivariable Calculus, Spring 2011.
- Calculus, Fall 2010.

## About

I live in Venice, Los Angeles with my wife, Reesha, and greyhound, Vivian. I am originally from London, UK and have been in Los Angeles since July 2018. I was previously a postdoctoral researcher at the Courant Institute, NYU and a member of the Simons Society of Fellows. I completed my PhD at the University of California, Berkeley, where my advisor was Daniel Tataru, and my undergraduate degree at Magdalen College, Oxford.