Research Interests

Differential Geometry, Geometry of Lower Dimensional Manifolds, Symplectic Geometry, Partial Differential Equations, Mathematical Physics, and Neural Networks

Seminars and Conferences at UCSB

• Differential Geometry Seminar
• AMS Special Session on Ricci Flow/Riemannian Geometry, April 16-17, 2005
• AMS Special Session on Geometrical Analysis, March 11-12, 2000
• Santa Barbara Summer Conference in Geometry, July 21-24, 1999

Teaching

• Courses

• Course Syllabus For Math 117, Summer 2008

• Syllabus for Math 5C, 2008

• Solutions of the Midterm Exam for Math 5C, 2008

• Homework For Math 5C, 2008

• Final Exam For 147A, 2008

• Course Syllabus For 147A, 2008

• Solutions of the Midterm Exam For 147A, 2008

• Homework For 147A, 2008

• Course Syllabus For 5B

• Course Syllabus For 34B

• Solutions To the Midterm Exam For 34B

• Announcements about the midterm grades for 34B

• Solution of the Midterm Exam

• Homework Assignments and Other Information for Math 5A

• Homework Assignments and Other Information for Math 5B 2007

• Announcement about the midterm of Math 5B 2007

• Solutions for the midterm of Math 5B 2007

• Solutions for the final of Math 5B 2007 (worked out by Jeffrey)

• Important Information on the Finals of Math 5B and Math 34B, 2007

Archives

• Ricci Flow and Geometrization of 3-Manifolds

• Latex symbols I

• Symplectic Geometry

• General Relativity

Math Puzzles

• Puzzles I