Instructor. Michael Anderson, Math 4-100A.
E-mail: anderson@math.sunysb.edu, Phone: 632-8269.
Lectures: Tu/Th: 12:50-2:10, in Physics P124.

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

Course Description. This course is an introduction to geometry and analysis, based primarily on the study of the Ricci flow on 3-manifolds. The list of topics we hope to cover includes:

• Statement/meaning of Thurston geometrization conjecture/theorem.
• Ricci flow: what it is and why use it?
• Short-time existence/harmonic coordinates.
• Basic ideas and techniques in Hamilton's sphere theorem.
• Singularities, blow-ups, Gromov compactness theorem.
• Introduction to Perelman's ideas and work.

Prerequisites. A basic knowledge of Riemannian geometry, at the level of MAT 568 for example. You should know for instance what Ricci curvature is.

Source Material. There are several recent textbooks on Ricci flow, including texts by Ben Chow and Dan Knopf, Peter Topping, and others as well. An excellent general source, and a good place to start, is the Ricci flow webpage maintained by John Lott at U. Mich:

Assignments. TBA (Possibly presentations of certain topics to the class).

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: http://www.ehs.sunysb.edu/fire/disabilities/asp, here