I am a Boas Assistant Professor at Northwestern University
and an NSF postdoctoral fellow. In Autumn 2014, I will move to Texas
A&M University. I received my Ph.D. from Stanford
University in 2010. I was a student of Rafe Mazzeo and András Vasy.

I am interested in partial differential equations generally and
geometric microlocal analysis more specifically. Here is my (likely
out-of-date) CV.

**Papers**

- A parametrix for the forward fundamental
solution of the Klein-Gordon equation on asymptotically de Sitter
spaces.

Published in Journal of Functional Analysis 259:1673-1719 (2010).

Also available from the ArXiv. (Last updated: August 10, 2010) - A Strichartz estimate for de Sitter
space.

Published in the Proceedings of the Centre for Mathematics and its Applications ANU 44:97-104 (2010).

Also available from the ArXiv. (Last updated: July 28, 2011) - Strichartz estimates on asymptotically de
Sitter spaces.

Published in Annales Henri Poincaré 14(2):221--252 (2013).

Also available from the ArXiv. (Last updated: June 13, 2012) - Radiation fields for semilinear wave
equations. Joint with Antônio Sá Barreto.

To appear in Transactions of the AMS.

Also available from the ArXiv. (Last updated: December 19, 2012) - Resolvent estimates and local decay of
waves on conic manifolds. Joint with Jared Wunsch.

To appear in Journal of Differential Geometry.

Also available from the ArXiv. (Last updated: October 1, 2012) - Equipartition of energy in geometric
scattering theory.

To appear in Journal d'Analyse Mathematique.

Also available from the ArXiv. (Last updated: April 1, 2013) - Some global aspects of linear wave
equstions. Joint with Rafe Mazzeo.

To appear in Clay Mathematics Proceedings, Volume 17.

Also available from the ArXiv. (Last updated: November 14, 2012) - Strichartz estimates on
exterior polygonal domains. Joint with Jeremy Marzuola and
Jared Wunsch.

To appear in CRM Proceedings.

Also available from the ArXiv. (Last updated: April 19, 2013) - Asymptotics of radiation fields on
asymptotically Minkowski space. Joint with András Vasy
and Jared Wunsch.

To appear in the American Journal of Mathematics.

Also available from the ArXiv. (Last updated: June 26, 2014) - Radiation fields on Schwarzschild
spacetime. Joint with Fang Wang.

To appear in Communications in Mathematical Physics.

Also available from the ArXiv. (Last updated: January 10, 2013)

**Seminars**

- From September 2010 to January 2014, I was an organizer of the analysis seminar at Northwestern University. The seminar is now organized by Xuehua Chen.

**Teaching**

- I am not currently teaching.
- In Autumn 2013 I taught Math 381: Fourier Series and Boundary Value Problems for ISP.
- I gave two lectures on the WKB approximation at the Northwestern University undergraduate conference on "Quantization and Mathematics".
- In Winter 2012 I taught Math 360 MENU Applied Analysis. This is the second quarter of a two-quarter sequence and introduces students to ODEs with MATLAB. In Autumn 2011 I taught the first quarter of the sequence.
- In Autumn 2010 I taught Math 220 and in Winter 2011 I taught Math 224. These are the first and second quarters of single-variable calculus. My students were great.
- At Stanford University, I was a teaching assistant for linear algebra and multivariable calculus, ordinary differential equations, and honors multivariable calculus. I was also the course assistant for graduate courses in functional analysis and harmonic analysis, and for advanced undergraduate courses in differential topology and Galois theory.

**Conference Organization**

- I was an organizer (with Valentino Tosatti, Ben Weinkove, Jared Wunsch, and Steve Zelditch) of the 73rd Midwest PDE Seminar, held at Northwestern University during the weekend of May 10-11, 2014.
- I was an organizer (with Emmanuel Schenck, András Vasy, Jared Wunsch, and Steve Zelditch) of the Microlocal Methods In Spectral and Scattering Theory workshop at Northwestern University in October 2011.
- I also organized (with Igor Rodnianski, Gigliola Staffilani, and Jared Wunsch) a workshop at Northwestern University in May 2012. You can find the conference page here.

**Upcoming talks**

**Collaborators**