Daniel Pollack

Professor, Graduate Admissions Director, appointed 1996 (Ph.D. Stanford 1991)

Research area: Differential geometry, partial differential equations, general relativity

Personal Web page: http://www.math.washington.edu/~pollack/
E-mail: pollack[_a_t_]math.washington.edu
Phone: 543-1809
Office: PDL C-550
Office hours: Tu/1:00-3:00pm
Courses taught this quarter: 125A, B

Hobbies: Aikido, urban exploration, theater, literature, hiking

Professional interests

My research interests center on the applications of partial differential equations (PDE) and analysis to problems in geometry and physics. Many of the natural problems in geometry involve restrictions on the curvature of a space which may be expressed via the solutions to a nonlinear system of PDE. In recent years my work has specifically been in the area of mathematical general relativity.

Selected bibliography

Topological Censorship from the initial data point of view (with Michael Eichmair and Gregory Galloway). Submitted April 2012; http://arxiv.org/abs/1204.0278

Scalar Curvature and the Einstein Constraint Equations (with Justin Corvino), Surveys in Geometric Analysis and Relativity, ALM 20 International Press (2011) 145-188.

Mathematical general relativity: a sampler. (with Piotr T. Chruściel and Gregory Galloway), Bulletin (New Series) of the American Mathematical Society 47 (2010), Number 4, 567--638.

Initial Data Engineering (with Piotr T. Chruściel and James Isenberg), Comm. Math. Phys. 257 (2005) 1, 29--42

Gluing and wormholes for the Einstein constraint equations (with J. Isenberg and R. Mazzeo), Comm. Math. Phys. 231 (2002) 3, 529--568.

Connected sums of constant mean curvature surfaces in Euclidean 3-space (with R. Mazzeo and F. Pacard), J. Reine Angew. Math. 536 (2001), 115--165.

Moduli spaces of singular Yamabe metrics (with R. Mazzeo and K. Uhlenbeck), J. Amer. Math. Soc. 9 (1996), no. 2, 303--344.