Me

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

  1. (with P. Germain and J. L. Marzuola) Compactons and their variational properties for degenerate KdV and NLS in dimension 1. Preprint (2017).
  2. (with J. L. Marzuola) Small data global solutions for the Camassa-Choi equations. Preprint (2017).
  3. (with M. Ifrim, and D. Tataru) Finite depth gravity water waves in holomorphic coordinates. Ann. PDE 3, no. 1 (2017): 4.
  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.
  5. Long time behavior of solutions to the mKdV. Comm. Partial Differential Equations 41, no. 2 (2016): 282–317.
  6. Large Data Local well-Posedness for a class of KdV-type equations II. Int. Math. Res. Not. IMRN 2015, no. 18 (2015): 8590–8619.
  7. 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

University of California, Berkeley

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.