MAT 569: Differential Geometry: Gauge Theories

Spring 2005

Instructor. Michael Anderson, Math 4-113.
E-mail:, Phone: 632-8269.
Lectures: MW: 10:40-12:00, in Physics P130.

Office Hours.TuWTh 1-2pm, and by appointment.

Course Description. We plan to cover the basic mathematical aspects of gauge theories, and hope to include some aspects of the physics point of view and understanding on the topic. Some of the topics to be covered include:

Prerequistes MAT 530 and 531, or the equivalent. Preferably also MAT 568 and some elementary experience with Lie Groups

Text. T. Frankel, The Geometry of Physics, Cambridge Univ. Press
This text is in Library, and can be purchased online via the publisher or other standard sources. It will be useful to have this book, but it will not be mandatory.
There are many other good texts on this subject. Some other possibilities, among many, are:

These and many others are in the Library.

Assignments and GradingThere will be several homework assignments; an A will be given for reasonably good performance on the assignments.

Americans with Disability Act. If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disabled Student Services in ECC (Educational Communications Center) Building, Room 128, (631) 632-6748. They will determine with you what accomodations are necessary and appropriate. All information and documentation is confidential.
Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disabled Student Services. For procedures and information, go the following website:, here