Contact Details

222A, L. Oliver Memorial
12 Hillhouse Avenue
New Haven, CT - 06511
Email: firstname.lastname (at) yale (dot) edu
Phone: (203) 432-4181

Research Interests:

I am interested in the PDE and differential geometric aspects of Einstein's equations for general relativity.

Preprints and Publications:

1. A Positive-Definite Energy Functional for Axially Symmetric Maxwell's Equations on Kerr-de Sitter Black Hole Spacetimes, arXiv
2. On 3+1 Lorentzian Einstein Manifolds with One Rotational Isometry, arXiv
3. A Note on Dimensional Reduction of Axisymmetric Spacetimes, arXiv
4. On Scattering for Small Data of 2+1 Dimensional Equivariant Einstein-Wave Map System, with D. Dodson, Ann. Henri Poincare 18(9), 3097-3142 (2017) (Journal link)
5. Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System, with L. Andersson and J. Szeftel, Ann. PDE 3(13) (2017) (Journal link)
6. On the Cauchy Problem for Energy Critical Self-Gravitating Wave Maps, PhD Dissertation (FU Berlin)
   

Recent and Upcoming Talks:

18 Sep. 2017, Analysis and PDE Seminar, Johns Hopkins University

31 Mar. 2017, General Relativity and Geometric Analysis Seminar, Columbia University

21 Feb. 2017, Colloquium, Black Hole Initiative, Harvard University