I am a postdoctoral researcher in mathematics at the Courant Institute of Mathematical Sciences, NYU and a junior fellow in the Simons Society of Fellows. My faculty mentor at Courant is Jalal Shatah.

I completed my PhD in 2015 at the University of California, Berkeley under the supervision of Daniel Tataru.

## Research

My research interests are in PDE and analysis, in particular the local and global dynamics of solutions to nonlinear dispersive PDE.

Nonlinear dispersive PDE arise in a variety of physical contexts such as water waves, plasma physics and general relativity. These time-dependent equations are characterized by the property that waves with different frequencies travel at different (group) velocities, causing solutions to spread out or *disperse*.

### Publications and Preprints

- (with P. Germain and J. L. Marzuola) Compactons and their variational properties for degenerate KdV and NLS in dimension 1.
*Preprint*(2017). - (with J. L. Marzuola) Small data global solutions for the Camassa-Choi equations.
*Preprint*(2017). - (with M. Ifrim, and D. Tataru) Finite depth gravity water waves in holomorphic coordinates.
*Ann. PDE*3, no. 1 (2017): 4. - (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. - Long time behavior of solutions to the mKdV.
*Comm. Partial Differential Equations*41, no. 2 (2016): 282–317. - Large Data Local well-Posedness for a class of KdV-type equations II.
*Int. Math. Res. Not. IMRN*2015, no. 18 (2015): 8590–8619. - Large data local well-Posedness for a class of KdV-type equations.
*Trans. Amer. Math. Soc.*367, no. 2 (2015): 755–773.

## Teaching

### New York University

*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 New York since August 2015. I did my PhD at the University of California, Berkeley under the supervision of Daniel Tataru and my undergraduate degree at Magdalen College, Oxford.