CURRICULUM VITAE
for
Man Chun LEUNG

Education: Ph.D., Mathematics, University of Michigan, Ann Arbor, 1991
Thesis supervisor: Professor Daniel Burns

B.Sc., Mathematics and Physics (Honours), University of Hong Kong, 1985

Research Area: Nonlinear Partial Differential Equations associated with curvature.

Career: Associate Professor, National University of Singapore, 2002 –
Senior Lecturer, National University of Singapore, 1997 – 2001
Lecturer, National University of Singapore, 1991 – 1997
Teaching Assistant, University of Michigan, 9/1988 – 6/1991
Teaching Fellow, University of Hong Kong, 9/1985 – 6/1986
Visiting Member: National Center for Theoretical Sciences, Taiwan, Sept. 2001
Stanford University, Stanford, 1/99 – 5/99
Rutgers University, New Brunswick, 8/98 – 12/98
Math. Sciences Research Inst. (MSRI), Berkeley, 4/1994 – 6/1994
Chinese University of Hong Kong, 4/1993 – 5/1993

Highlights of Publications (Complete list of over 30 publications available.)

1.  Supported blow-up and prescribed scalar curvature on Sn , Memoirs of the Amer-
ican Mathematical Society, 213 (2011), No. 1002 (> 100 pages) .
2 – 4.  Construction of blow-up sequence for the conformal scalar curvature equation
on Sn :
I . Communications in Contemporary Mathematics, 14 (2012), 1-31 ;
II . Calculus of Variations and Partial Differential Equations, 46, No. 1 (2013), 1-29 ;
III . (with Zhou Feng) Calculus of Variations and Partial Differential Equations, 54
(2015), 3009-3035 (with an e – Appendix > 100 pages).
5.  Blow-up solutions of nonlinear elliptic equations in IRn with critical exponent,
Math. Ann. 327 (2003), 723- 744.

6. Refined estimates for simple blow-ups of the scalar curvature equation on Sn ,
Trans. Amer. Math. Soc. 370 (2018), 1123 -1157 (with an e – Appendix > 30
pages).

7. Conformal scalar curvature equations on complete manifolds, Comm. Partial
Differential Equations 20 (1995), 367- 417 (> 50 pages) .

8.  Asymptotic behavior of positive solutions to the equation Δgu + Kup = 0 in a
complete Riemannian manifold and positive scalar curvature, Comm. Partial Differ-
ential Equations 24 (1999), 425- 462 .

9.  Combining solutions of semilinear partial differential equations in IRn with critical
Sobolev exponent, Comm. Partial Differential Equations 29 (2004), 763-784. .

10.  Exotic solutions of the conformal scalar curvature equation in Rn, Annales de
l’Institut Henri Poincare – Analyse Non Lineaire, 18 (2001), 297 – 307.

11.  Conformal deformation of warped products and scalar curvature functions on
open manifolds, Bulletin des Sciences Mathematiques 122 (1998), 369-398.

12. On the Ln=2-norm of scalar curvature, Illinois J. Math. 40 (1996), 606-631.

13. Pinching theorem on asymptotically hyperbolic spaces, Internat. J. Math. 4
(1993), 831-857.

14.  (with L.-F. Cheung & C.-K. Law) Bounded positive solutions of rotationally
symmetric harmonic maps equations, Differential and Integral Equations 13 (2000),
1149-1188 (40 pages).

15. (with J. Berrick & X.-W. Xu) Topology and Geometry: Commemorating SISTAG,
Contemporary Mathematics, Vol. 314. American Mathematical Society, Providence,
RI, 2002.

Award : 2018 National Day Award (Singapore)

Professional Services:
 Editor, Communications on Pure & Applied Analysis, ( 2018 { ) [ 2017 Impact Factor: 0.884 ] .
 Editor, Int. J. of Applied Mathematics and Theoretical Physics, (2017 { 2020) .
 Member of the Editorial Board, J. of Mathematics, Statistics and Operations Research (2016 { ) .
 Editor, Journal of Modern Mathematics Frontier (2012 { ) .
 Editor, Contemporary Math. (AMS) Vol 314: Commemorating SISTAG, (2002).

 Referee/reviewer for professional journals and book, such as Journal of the European Math. Society,
Journal of Geometric Analysis, Comm. Partial Differential Equations,
Paci c Journal of Mathematics, Journal of Geometry and Physics,
Journal of Mathematical Analysis and Applications, Cubo, Houston Mathematical Journal,
Math. Scand., SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) ,
Studia Sci. Math. Hungarica, Calculus of Variations and Partial Differential Equations ,
Proceedings of the Edinburgh Mathematical Society , …
Reviewer for two book proposals (World Scienti c).
 Mathematical Review ( about 150 reviews, including 2 Featured Reviews and 10 book reviews).
Organizer of the following conferences:
 The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications , 2018.
 Geometric Partial Differential Equations, Institute of Mathematical Sciences, NUS, 2004.
 Singapore International Symposium on Topology and Geometry, 2001.
 Second Paci c Rim Geometry Conference, 1994.

Supervisor of 1 Ph.D. student, 2 master students, and 12 honours project students .

Member of the University Library Committee, 1996 – 2004.

Conferences:
 Fouth Asian Mathematical Conference, Singapore, 2005 (Sessions chairman).
 Fifth European Conference on Elliptic and Parabolic Problems, Gaeta, Italy, 2004.
 IMS Program on Geometry and Partial Differential Equations, 2004.
 NUS Workshop on Partial Differential Equations, 2002.
 Singapore International Symposium on Topology and Geometry, 2001.
 Y 2K International Conference on Dynamical Systems and Diff. Eqns., Atlanta, 2000
 Fourth Paci c Rim Geometry Conference, Vancouver, 1998
 Eighth Lehigh University Geometry and Topology Conference, Bethlehem, 1997
 International Conference on Dynamical Systems and Differential Equations, Missouri, 1996
 Second Paci c Rim Geometry Conference, Singapore, 1994
 First Paci c Rim Geometry Conference, Hong Kong, 1992
 AMS Summer Research Institute on Differential Geometry, UCLA, 1990
 Topology and Geometry Seminar, 1993, 95, 97, 2002 & 04.

Last updated : 29 Jan., 2019.