Lee, Woon Yin (Paul)


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

Phone:        (852) 3943-7978

Email:         paulwylee@@gmail.com (lots of emails sent to wylee@@math.cuhk.edu.hk go directly into spam in the past)


l  Spring 2014: MATH1030C Linear Algebra I

l  Spring 2014: MATH1030D Linear Algebra I

l  Spring 2014: MATH2010E Advanced Calculus I

l  Spring 2013: MATH1030C Linear Algebra I

l  Fall 2012: MATH2010A Advanced Calculus I

l  Fall 2012: MATH2010B Advanced Calculus I

l  Spring 2012: MATH3423 Hyperbolic Geometry

l  Spring 2012: MATH6081 Introduction to Optimal Transportation

l  Fall 2011: MATH2010B Advanced Calculus I


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 (2010), no. 1-2, 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.  Displacement interpolations from a Hamiltonian point of view. J. Funct. Anal. 265 (2013), no. 12, 3163-3203.

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

12.   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.

13.  Measure contraction properties of contact sub-Riemannian manifolds with symmetry, with Chengbo Li and Igor Zelenko, to appear in Discrete Contin. Dyn. Syst. Series A, arXiv: 1304.2658 (2013), 29pp.

14.  Generalized Li-Yau estimates and Huisken's monotonicity formula, arXiv: 1211.5559 (2013), 25pp, submitted for publication.

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

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

17.  On the Jordan-Kinderlehrer-Otto scheme, (2014), 15 pp, submitted for publication.

18.  On measure contraction property without Ricci curvature lower bound, (2014), 18 pp, submitted for publication


19.  Matrix Factorizations via the Inverse Function Theorem, arXiv: 1408.2611 (2014), 6 pp.