MATH6081 - Topics in Analysis I - 2025/26

Announcement

• The class on September 8 is suspended due to Typhoon Signal No. 8.
• The classroom for MATH 6081 has been changed to LSB 219.

General Information

Lecturer

• WAN Yao
  • Office: LSB G06
  • Email:

Time and Venue

• Lecture: Monday, 3:30-6:15 PM, LSB 219

Course Description

This is a graduate level topics course on analysis. This term, we will study partial differential equations (PDEs) arising from geometry, with a focus on semi-linear elliptic equations, k-Hessian equations, and the Monge-Ampère equation. The course will emphasize the uniqueness of solutions, i.e. the Liouville type theorem. We will investigate these equations using techniques such as the Obata identity, properties of differential operators, and other tools from geometric analysis.

Pre-class Notes

• Course outline
• Essay

Lecture Notes

• Lecture notes

Assignments

• Final Essay