Update: This page is no longer maintained. Please visit my new homepage at MIT
here.
Thanks,
Andrew Lawrie
Andrew Lawrie
Starting in Fall 2016 I'll be an Assistant Professor of Mathematics at MIT . I did my PhD in Mathematics at the University of Chicago. My advisor was
Prof. Wilhelm Schlag. Previously, I was an NSF postdoc at the University of California, Berkeley under the guidance of
Prof. Daniel Tataru.
Contact Information
Department of Mathematics
University of California, Berkeley
859 Evans Hall
Berkeley, CA 94720
Email: alawrie at math dot berkeley dot edu
Vita
Papers and Preprints
The following are all available on my
arXiv.org page.

The Cauchy problem for wave maps on hyperbolic space in dimensions d ≥ 4.
(with S.J. Oh and S. Shahshahani);
preprint 2015.

Equivariant wave maps on the hyperbolic plane with large energy
(with S.J. Oh and S. Shahshahani);
Math. Res. Lett. (to appear), preprint 2015.

A refined threshold theorem for (1+2)dimensional wave maps into surfaces
(with S.J. Oh);
Comm. Math. Phys. 342 (2016) no. 3, 989999.

Gap eigenvalues and asymptotic dynamics of geometric wave equations on hyperbolic space
(with S.J. Oh and S. Shahshahani);
preprint 2015.

Profile decompositions for wave equations on hyperbolic space with applications
(with S.J. Oh and S. Shahshahani);
Math. Ann. (to appear), preprint 2014.

Stable soliton resolution for exterior wave maps in all equivariance classes.
(with C. Kenig, B. Liu, and W. Schlag);
Advances in Math. 285 (2015), 235300.

Channels of energy for the linear radial wave equation.
(with C. Kenig, B. Liu, and W. Schlag);
Advances in Math. 285 (2015), 877936.

Scattering for radial, semilinear, supercritical wave equations with bounded critical norm.
(with B. Dodson);
Arch. Rational Mech. and Anal. 218 (2015) no. 3, 14591529.

Scattering for the radial 3d cubic wave equation.
(with B. Dodson);
Analysis and PDE. 8 (2015) no. 2, 467497.

Stability of stationary equivariant wave maps from the hyperbolic plane.
(with S.J. Oh and S. Shahshahani);
Amer. J. Math. (to appear)

Profiles for the radial focusing 4d energycritical wave equation.
(with R. Cote, C. Kenig, and W. Schlag);
Comm. Math. Phys. (to appear)

Conditional global existence and scattering for a semilinear Skyrme equation with large data.
Comm. Math. Phys.. 334 (2015) no. 2, 10251081.

Relaxation of wave maps exterior to a ball to harmonic maps for all data.
(with C. Kenig and W. Schlag);
Geom. Funct. Anal. (GAFA). 24 (2014), no. 2, 610647.

Characterization of large energy solutions of the equivariant wave maps problem: I.
(with R. Cote, C. Kenig, and W. Schlag);
Amer. J. Math. 137 (2015) no. 1, 139207.

Characterization of large energy solutions of the equivariant wave maps problem: II.
(with R. Cote, C. Kenig, and W. Schlag);
Amer. J. Math. 137 (2015) no. 1, 209250.

Scattering for wave maps exterior to a ball.
(with W. Schlag);
Advances in Math. 232 (2013), no. 1, 5797.

The Cauchy problem for wave maps on a curved background.
Calc. Var. Partial Differential Equations. 45 (2012), no. 34, 505548.
Slides from talks

Equivariant wave maps from the hyperbolic plane
These are slides from a talk at the CRM in Pisa, Italy in the fall of 2014.

Classification of large energy equivariant wave maps
These are slides from talks that were given at JHU, MIT, NYU, and UC Berkeley in the fall of 2012.

Scattering for wave maps exterior to a ball
These are slides from a talk that was given at UIUC in February 2012.
Thesis and Expository Notes

On the Global Behavior of Wave Maps.
My PhD thesis from the University of Chicago.

Nonlinear Wave Equations.
These notes provide a brief introduction to nonlinear wave equations. They were written during my second year at the University of Chicago as part of my topics examination and comprise part of my own introduction to the subject. They cover the local wellposedness theory for semilinear wave equations with smooth data as well as Strichartz estimates with applications including small data global existence and scattering for wave equations with power type nonlinearities.