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Paul Lee

Address: Phone: Email:

Room 216, Lady Shaw Building, The Chinese University of Hong Kong, Shatin, Hong Kong (852) 3943-7978 wylee@@math.cuhk.edu.hk

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Teaching:

· Fall 2011: MATH2010B Advanced Calculus I

· Spring 2012: MATH3423 Hyperbolic Geometry

· Spring 2012: MATH6081 Introduction to Optimal Transportation

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Publications:

1. Poisson geometry and first integrals of geostrophic equations, with Boris Khesin, Physica D, vol.237 (2008), 2072-2077.

2. Optimal transportation under nonholonomic constraints, with Andrei Agrachev, Trans. Amer. Math. Soc. 361 (2009), 6019-6047.

3. A nonholonomic Moser theorem and optimal mass transport, with Boris Khesin, J. Symplectic Geom. 7 (2009), no.4, 381-414.

4. Continuity of optimal control costs and its application to weak KAM theory, with Andrei Agrachev, Calc. Var. Partial Differential Equations, 39 (2009), 213-232.

5. The Ma-Trudinger-Wang curvature for natural mechanical actions, with Robert J. McCann, Calc. Var. Partial Differential Equations 41 (2010), no.1-2, 285-299.

6. New computable necessary conditions for the regularity theory of optimal transportation, SIAM J. Math. Anal., 42 (2010), no.6, 3054-3075.

7. A remark on the potentials of optimal transport maps, Acta. Appl. Math., 115 (2011), no.2, 123-138.

8. New examples on spaces of negative sectional curvature satisfying Ma-Trudinger-Wang conditions, with Jiayong Li, accepted by SIAM J. Math. Anal., arXiv: 0911.3978, (2009), 17pp.

9. Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds, with Andrei Agrachev, submitted, arXiv: 0903.2550 (2009), 31pp.

10. Bishop and Laplacian comparison theorems on three dimensional contact subriemannian manifolds with symmetry, with Andrei Agrachev, submitted, arXiv: 1105.2206 (2011), 25pp.

11. On surfaces in three dimensional contact manifolds, arXiv: 1109.0350 (2011), 14pp.

12. On curvature and hyperbolicity of monotone Hamilonian systems, arXiv: 1202.3836 (2012), 28pp.

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