MATH6021  Topics in Geometry I  2020/21
General Information
Lecturer

Martin Manchun Li
 Office: LSB 236
 Tel: 39431851
 Email:
 Office Hours: By appointment
Time and Venue
 Lecture: Mon 9:30am12:15pm online via ZOOM
Course Description
This is a graduate level topics course on geometry. This term we will focus on the theory of minimal surfaces and their applications. After discussing some foundations like first and second variation formula, Bernstein theorems and curvature estimates, we will discuss the existence and regularity theory for minimal surfaces. Depending on the time available, we will also cover the geometric applications and some recent developments on the minmax theory for minimal surfaces. The goal is to understand the analytic and geometric aspects of minimal surfaces and their applications in global geometry and topology. We shall assume as prerequisite a solid understanding of Riemannian Geometry (at the level of MATH5061), as well as a working knowledge on partial differential equations (at the level of MATH5022) and real analysis (at the level of MATH5011).
Textbooks
 "A Course in Minimal Surfaces", by Tobias Colding and William Minicozzi II, AMS Graduate Studies in Mathematics Vol. 121
Preclass Notes
Lecture Notes
 Lecture 1 on Sep 7
 Lecture 2 on Sep 14
 Lecture 3 on Sep 21
 Lecture 4 on Sep 28
 Lecture 5 on Oct 5
 Lecture 6 on Oct 12
 Lecture 7 on Oct 19
 Lecture 8 on Nov 2
 Lecture 9 on Nov 9
 Lecture 10 on Nov 16
 Lecture 11 on Nov 23
 Lecture 12 on Nov 30
Assessment Scheme
Final Essay & Presentation  100% 
Honesty in Academic Work
The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: November 23, 2020 12:05:59