Research Publications (Refereed Journals)

1. On a Penrose Inequality with Charge (with SUMIO YAMADA); Comm. Math. Phys., arXiv:math.DG/0405602.
2. Quasiconvex Foliations and Asymptotically Flat Metrics of Non-negative Scalar Curvature (with BRIAN SMITH); Comm. Anal. Geom. 12 (2004), no. 3, 511-551.
3. On the connectedness of the space of initial data for the Einstein equations (with BRIAN SMITH); Electron. Res. Announc. Amer. Math. Soc., 6 (2000), 52-63.
4. A priori bounds for co-dimension one isometric embeddings, (with YANYAN LI), Amer. J. Math 121 (1999), no. 5, 945-965.
5. Harmonic maps with prescribed singularities into Hadamard manifolds, Math. Res. Letters 3 (1996) no. 6, 835-844.
6. Harmonic Maps with Prescribed Singularities On Unbounded Domains, Amer. J. Math. 118 (1996), no. 3, 689--700.
7. N-Black Hole Stationary Axially Symmetric Solutions of the Einstein-Maxwell Equations, Comm. Partial Differential Equations 21 (1996), No. 9 & 10, 1389 --1430.
8. On the Dirichlet Problem for Harmonic Maps with Prescribed Singularities, Duke Math. J. 77 (1995), No. 1, 135--165.
9. On the Force Between Rotating Co-Axial Black Holes, Trans. Amer. Math. Soc. 343 (1994), No. 2, 899--906.
10. The Stationary Axisymmetric Two-Body Problem in General Relativity, Comm. Pure Appl. Math. 45 (1992), 1183--1203.
11. On Rotating Black Holes in Equilibrium in General Relativity, Comm. Pure Appl. Math. 43 (1990), 903--948.

Books Edited

1. Differential Equations and Mathematical Physics, Proceedings of the 1999 International Conference on Differential Equations and Mathematical Physics, AMS/IP Studies in Advanced Mathematics Volume 16, American Mathematical Society, International Press, 2000