I am an assistant professor in the math department at Texas
A&M University. Before coming here, I was a Boas Assistant
Professor at Northwestern
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out-of-date) CV. I am supported by NSF grant DMS--1500646.

**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.

Published in Transactions of the American Mathematical Society 367:3873--3900 (2015).

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

Published in Journal of Differential Geometry 95:183--214 (2013).

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

Published in Journal d'Analyse Mathematique 123:341--353 (2014).

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

Published in Evolution Equations, Clay Mathematics Proceedings, 17:73--96 (2013).

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

Published in Geometric and Spectral Analysis, Contemporary Mathematics, 630:291--306 (2014).

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.

Published in American Journal of Mathematics 137(5):1293--1364 (2015).

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

Published in Communications in Mathematical Physics 331:477--506 (2014).

Also available from the ArXiv. (Last updated: January 10, 2013) - Sharp high-frequency estimates for the
Helmholtz equation and applications to boundary integral
equations. Joint with Euan Spence and Jared Wunsch.

Published in SIAM Journal of Mathematical Analysis 48(1):229--267 (2016).

Also available from the ArXiv. (Last updated: October 16, 2015) -
Asymptotics of scalar waves on long-range
asymptotically Minkowski spaces. Joint with András Vasy
and Jared Wunsch.

Preprint, ArXiv:1602.04795. Also available from the ArXiv. (Last updated: February 16, 2016) -
An explicit description of the radiation field
in 3+1-dimensions.

Preprint, arXiv:1604.02984. Available from the ArXiv. (Last updated: April 12, 2016) -
Locating the resonances on hyperbolic
cones.

Preprint, arXiv:1608.05278. Available from the ArXiv. (Last updated: August 19, 2016)

**Seminars**

**Teaching**

- I am currently teaching Math 689, a graduate topics course on microlocal analysis.
- In Fall 2015, I taught Math 308 (a course on differential equations) and Math 460 (a course on general relativity).
- In Spring 2015, I taught Math 304, a course on linear algebra.
- In Fall 2014, I taught Math 221, a multivariable calculus course for science and math majors. The course was administered through eCampus (and so there is no accessible course website).
**Northwestern University**- In Autumn 2013 I taught Math 381: Fourier Series and Boundary Value Problems for ISP.
- I gave two lectures on the WKB approximation at theNorthwestern 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.

- 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 am organizing (with Luc Hillairet and Jared Wunsch) a workshop on "Evolution equations on singular spaces" at CIRM in Luminy, France, to be held April 25--29, 2016.
- 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 also organized (with Igor Rodnianski, Gigliola Staffilani, and Jared Wunsch) a workshop on evolution equations in honor of Terence Tao at Northwestern University in May 2012.
- 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.

**Upcoming talks**

**Collaborators**