Instructor:
Yi Wang
Email: ywang261 (at) jhu.edu
Office: Krieger 216
Office hours: Wed 10 am-11 am
Lecture time: MonWed 12pm - 1:15pm
Lecture Room: Krieger 411
Course Assistant:
TA
Email:
Office:
Office hours:
Lecture time:
Textbook and references:
Lectures on Differential Geometry by Richard Schoen and Shing-Yung Yau
Lecture notes on geometric analysis by Peter Li
Riemannian Geometry by Manfredo Perdigao do Carmo
Lectures on Optimal Transport by Luigi Ambrosio, Elia Brué, Daniele Semola
Research Papers
Exams: There will be oral (presentations) exam.
Grade Policy:
The course grade will be determined as follows:
Homework: 50%
Oral exam: 50%
Homework:
Homework assignments will be posted here. Homeworks are collected and returned by email to the instructor.
You are encouraged to do your homework independently. You can work in groups if you feel that is helpful. However, you must write up your solutions on your own. Copying is not acceptable.
First day of classes Jan 21, 2026
(Break March 16-20)
Last day of class April 27
Reading days:
Exam days:
Special Aid:
Students with disabilities who may need special arrangements within this course must register with the SDS office and submit request through the SDS office.
JHU Ethics Statement:
The strength of the university depends on academic and personal integrity. In this course, you must be honest and truthful. Cheating is wrong. Cheating hurts our community by undermining academic integrity, creating mistrust, and fostering unfair competition. The university will punish cheaters with failure on an assignment, failure in a course, permanent transcript notation, suspension, and/or expulsion. Offenses may be reported to medical, law, or other professional or graduate schools when a cheater applies.
Violations can include cheating on exams, plagiarism, reuse of assignments without permission, improper use of the internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition. Ignorance of these rules is not an excuse.
In this course, as in many math courses, working in groups to study particular problems and discuss theory is strongly encouraged. Your ability to talk mathematics is of particular importance to your general understanding of mathematics. You should collaborate with other students in this course on the general construction of homework assignment problems. However, you must write up the solutions to these homework problems individually and separately. If there is any question as to what this statement means, please ask the instructor.