Update: This page is no longer maintained.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.
  1. The Cauchy problem for wave maps on hyperbolic space in dimensions d ≥ 4. (with S.-J. Oh and S. Shahshahani);
    preprint 2015.

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

  3. A refined threshold theorem for (1+2)-dimensional wave maps into surfaces (with S.-J. Oh);
    Comm. Math. Phys. 342 (2016) no. 3, 989-999.

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

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

  6. Stable soliton resolution for exterior wave maps in all equivariance classes. (with C. Kenig, B. Liu, and W. Schlag);
    Advances in Math. 285 (2015), 235-300.

  7. Channels of energy for the linear radial wave equation. (with C. Kenig, B. Liu, and W. Schlag);
    Advances in Math. 285 (2015), 877-936.

  8. Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm. (with B. Dodson);
    Arch. Rational Mech. and Anal. 218 (2015) no. 3, 1459-1529.

  9. Scattering for the radial 3d cubic wave equation. (with B. Dodson);
    Analysis and PDE. 8 (2015) no. 2, 467-497.

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

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

  12. Conditional global existence and scattering for a semi-linear Skyrme equation with large data.
    Comm. Math. Phys.. 334 (2015) no. 2, 1025-1081.

  13. 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, 610-647.

  14. 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, 139-207.

  15. 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, 209-250.

  16. Scattering for wave maps exterior to a ball. (with W. Schlag);
    Advances in Math. 232 (2013), no. 1, 57-97.

  17. The Cauchy problem for wave maps on a curved background.
    Calc. Var. Partial Differential Equations. 45 (2012), no. 3-4, 505-548.

Slides from talks

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

  2. 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.

  3. 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