Lee, Woon Yin (Paul)

 

Address:     Room 216, Lady Shaw Building, the Chinese University of Hong Kong, Shatin, Hong Kong

Phone:        (852) 3943-7978

Email:         wylee@@math.cuhk.edu.hk


Teaching:

ĄP         Spring 2014: MATH1030C Linear Algebra I

ĄP         Spring 2014: MATH1030D Linear Algebra I

ĄP         Spring 2014: MATH2010E Advanced Calculus I

ĄP         Spring 2013: MATH1030C Linear Algebra I

ĄP         Fall 2012: MATH2010A Advanced Calculus I

ĄP         Fall 2012: MATH2010B Advanced Calculus I

ĄP         Spring 2012: MATH3423 Hyperbolic Geometry

ĄP         Spring 2012: MATH6081 Introduction to Optimal Transportation

ĄP         Fall 2011: MATH2010B Advanced Calculus I


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, SIAM J. Math. Anal., 44 (2012), 61-73.

9.      On surfaces in three dimensional contact manifolds, Canad. J. Math., 65 (2013), no. 3, 621-633.

10.  Bishop and Laplacian comparison theorems on three dimensional contact subriemannian manifolds with symmetry, with Andrei Agrachev, to appear in J. Geom. Anal., arXiv: 1105.2206 (2011), 26pp.

11.  Displacement interpolations from a Hamiltonian point of view, to appear in J. Func. Anal., arXiv:1205.1442 (2012), 34pp.

12.  Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds, with Andrei Agrachev, to appear in Math Ann., arXiv: 0903.2550 (2009), 31pp.

13.  Generalized Li-Yau estimates and Huisken's monotonicity formula, formerly Ą§A generalization of Li-Yau estimateĄ¨, arXiv: 1211.5559 (2013), 25pp.

14.  Differential Harnack inequalities for a family of sub-elliptic diffusion equations on Sasakian manifolds, arXiv: 1302.3315 (2013), 27pp.

15.  Measure contraction properties of contact sub-Riemannian manifolds with symmetry, with Chengbo Li and Igor Zelenko, arXiv: 1304.2658 (2013), 29pp.

16.  Bishop and Laplacian comparison theorems on Sasakian manifolds, with Chengbo Li, arXiv: 1310.5322 (2013), 38pp.