I am a Hedrick 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.

## Research

My research interests are in PDE and analysis. In particular I am interested in problems from nonlinear dispersive PDE and fluid dynamics.

### Publications and Preprints

- (with J. Bedrossian and P. Germain) Vortex filament solutions of the Navier-Stokes equations.
*Preprint*(2018). [arXiv] - (with P. Germain and J. L. Marzuola) Existence and uniqueness of solutions for a quasilinear KdV equation with degenerate dispersion.
*Comm. Pure Appl. Math.*, to appear. [journal] - (with P. Germain and J. L. Marzuola) Compactons and their variational properties for degenerate KdV and NLS in dimension 1.
*Quart. Appl. Math.*, to appear. [journal] - (with J. L. Marzuola) Small data global solutions for the Camassa-Choi equations.
*Nonlinearity*, 31, no. 5 (2018): 1868-1904. [journal] - (with M. Ifrim and D. Tataru) Finite depth gravity water waves in holomorphic coordinates.
*Ann. PDE*3, no. 1 (2017): 4. [journal] - (with M. Ifrim and D. Tataru) The lifespan of small data solutions to the KP-I.
*Int. Math. Res. Not. IMRN*2017, no. 1 (2017): 1–28. [journal] - Long time behavior of solutions to the mKdV.
*Comm. Partial Differential Equations*41, no. 2 (2016): 282–317. [journal] - Large Data local well-posedness for a class of KdV-type equations II.
*Int. Math. Res. Not. IMRN*2015, no. 18 (2015): 8590–8619. [journal] - Large data local well-posedness for a class of KdV-type equations.
*Trans. Amer. Math. Soc.*367, no. 2 (2015): 755–773. [journal]

## Teaching

### UCLA

- Analysis, Spring 2019.
- Calculus of Several Variables, Winter 2018.
- Calculus of Several Variables, Fall 2018.

### New York University

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

### 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 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.