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D-Enantiomer amino acids, endogenously synthesized and degraded in mammals, participate in multiple developmental and physiological processes. We characterize both d-aspartate and its degradative enzyme (d-aspartate oxidase) in post-natal mouse retina. d-Aspartate attains a developmental peak of 886 nmol/g dry weight at 1-2 weeks post-natal while… (More)

- Hubert L. Bray, Dan A. Lee
- 2008

The Positive Mass Theorem states that a complete asymptotically flat manifold of nonnegative scalar curvature has nonnegative mass. The Riemannian Penrose inequality provides a sharp lower bound for the mass when black holes are present. More precisely, this lower bound is given in terms of the area of an outermost minimal surface , and equality is achieved… (More)

- HUBERT L. BRAY, DAN A. LEE
- 2009

The positive mass theorem states that a complete asymptotically flat manifold of nonnegative scalar curvature has nonnegative mass and that equality is achieved only for the Euclidean metric. The Riemannian Penrose inequality provides a sharp lower bound for the mass when black holes are present. More precisely, this lower bound is given in terms of the… (More)

Heegaard Floer homology, first introduced by P. Ozsváth and Z. Szabó in [OS04b], associates to a 3-manifold Y a family of relatively graded abelian groups HF (Y, t), indexed by Spin c structures t on Y. In the case that Y is a rational homology sphere, Ozsváth and Szabó lift the relative Z-grading to an absolute Q-grading [OS06]. This induces a relative… (More)

- Dan A. Lee
- 2008

Let M1 and M2 be special Lagrangian submanifolds of a compact Calabi-Yau manifold X that intersect transversely at a single point. We can then think of M1 ∪M2 as a singular special Lagrangian submanifold of X with a single isolated singularity. We investigate when we can regularize M1 ∪ M2 in the following sense: There exists a family of Calabi-Yau… (More)

- Dan A. Lee
- 2008

The Positive Mass Conjecture states that any complete asymptotically flat manifold of nonnnegative scalar curvature has nonnegative mass. Moreover, the equality case of the Positive Mass Conjecture states that in the above situation, if the mass is zero, then the Riemannian manifold must be Euclidean space. The Positive Mass Conjecture was proved by R.… (More)

- Linda Keen, Arthur W. Apter, Alberto Baider, Jason Behrstock, Martin Bendersky, Abhijit Champanerkar +70 others
- 2014

THE PROGRAM The Ph.D. Program in Mathematics provides students of high ability and strong preparation with an opportunity to begin study for the doctoral degree either immediately upon graduation from college or after completing some graduate work in the colleges of the City University or at other accredited institutions. Doctoral work in mathematics is… (More)

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