Professional Preparation:
Harvard
University
Mathematics B.A. summa cum laude 1997
Princeton University
Mathematics
Ph.D.
2001
(doctoral thesis advisor: Demetrios Christodoulou, ETH Zurich)
Research interests
partial differential equations, general relativity, differential geometry
Papers
Stability and instability of the Cauchy horizon for the
spherically
symmetric
Einstein-Maxwell-scalar field equations, Ann. of Math. 158
(2003),
no. 3,
875--928
On ``time-periodic'' black-hole solutions to certain spherically
symmetric
Einstein-matter systems, Commun. Math. Phys. 238, 411-427 (2003)
Stability and Instability of the Reissner-Nordstrom Cauchy
horizon
and
the problem of uniqueness in general relativity, to appear in
``Proceedings of the conference of non-compact variational problems
and general relativity in honor of Haim Brezis and Felix Browder''
gr-qc/0209052
Price's law, mass inflation, and strong cosmic censorship, to
appear in
``Proceedings of the Seventh Hungarian Relativity Workshop''
gr-qc/0401121
The interior of charged black holes and the problem of uniqueness
in general
relativity, 52 pages, preprint 2003, submitted gr-qc/0307013
with Igor Rodnianski, A proof of Price's law for the collapse of
a self-gravitating
scalar field, 54 pages, preprint 2003, submitted gr-qc/0309115
Black hole formation from a complete regular past, 16 pages,
preprint 2003,
submitted gr-qc/0310040
Spherically symmetric spacetimes with a trapped surface, 12
pages, preprint
2004,
gr-qc/0403032
A note on naked singularities and the collapse of
self-gravitating Higgs fields, 11 pages,
preprint 2004,
gr-qc/0403033
A note on boundary value problems for black hole evolutions,
8 pages,
preprint 2004,
gr-qc/0403034
Exhaustions of complete manifolds of bounded curvature,
Tsing-Hua
lectures on geometry and analysis, 319-322, Int. Press, Cambridge,
MA, 1997
Invited Talks
Applied Mathematics Colloquium,
Columbia University, February
17, 2004
Cambridge University, January 19, 2004
Colloquium, University of Washington, January
15, 2004
P.D.E. Seminar, Northwestern University,
January
13, 2004
Colloquium, University of Minnesota, December
12, 2003.
Differential Geometry/P.D.E. Seminar, University of
Washington, December 2, 2003.
Differential Geometry Seminar, Harvard University,
November 18, 2003.
P.D.E. Seminar, Northwestern University, November
11, 2003.
Joint Analysis Seminar, Princeton University,
November 6, 2003.
Workshop on the Interaction of Gravity with Classical
Fields, University of Montreal, October 5, 2003.
Seventh Hungarian Relativity Workshop, Sarospatak,
August
14, 2003.
Applied Mathematics Seminar, University of Crete,
July 24, 2003.
Conference on Hyperbolic Models in Astrophysics and
Cosmology,
Cambridge
University, June 24, 2003.
Applied Mathematics Seminar, University of
Massachusetts
Amherst, March 25, 2003.
Applied Mathematics Seminar, University of Toronto,
March 7, 2003.
Conference on General Relativity, Oberwolfach, February
14, 2003.
Conference on 50 years of the Cauchy problem in General
Relativity, Cargese, August 2, 2002.
Colloquium, University of Athens, June 27, 2002.
General Relativity Workshop, Stanford University,
May 28, 2002.
Conference on Dispersion Equations and Curvature,
Oberwolfach,
April 25, 2002.
Analysis Seminar, ETH Zurich, January 21, 2002.
Differential Geometry Seminar, Harvard University,
November 20, 2001.
Conference on Noncompact Variational Problems and
General
Relativity,
in honor of
H. Brezis and F. E. Browder, Rutgers University, October 18,
2001.
PDE Seminar, Brown University, October 12, 2001.
Differential Geometry Seminar, MIT, September
17, 2001.
Relativity Seminar, Oxford University, May 29,
2001.
Conference on Nonlinear Evolution Problems,
Oberwolfach,
May 21, 2001.
Calderon-Zygmund Seminar, University of Chicago,
February 5, 2001.
Analysis Seminar, Courant Institute, January
30,
2001.
Other links
an article from Neue Zurcher Zeitung, Oct. 16, 2002
Teaching