MAT 627 
Topics in Complex Analysis 
Spring 2010 
TuTh 11:20-12:40
Physics P-124

Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TuTh 2:30--3:30, or by appointment.

Differential Topology of Complex Manifolds

This course is intended as a continuation of MAT 545, Complex Geometry, and will study compact complex manifolds through the lens of of differential topology. The first part of the course will focus on general techniques for studying the interplay between the topology and complex-analytic properties of complex manifolds. The remainder of the course will then focus on the special case of compact complex surfaces, and will include a self-contained introduction to Seiberg-Witten theory.

While the lectures will be relatively self-contained, they will assume a basic familiarity with complex manifolds on the level of MAT 545. Students who have not yet passed the departmental comprehensive exam may therefore enroll only by permission of the instructor.

Grades will be based upon class participation.

The Professor may be reached via e-mail by .
This is the best method for making appointments outside normal office hours.

DSS advisory. If you have a physical, psychiatric, medical, or learning disability that could adversely affect your ability to carry out assigned course work, please contact the Disabled Student Services office (DSS), Educational Communications Center (ECC) Building, room 128, (631) 632-6748.  DSS will review your situation and determine, with you, what accommodations are necessary and appropriate. All information and documentation regarding disabilities will be treated as strictly confidential.

Students for whom special evacuation procedures might be necessary in the event of an emergency are encouraged to discuss their needs with both the instructor and with DSS. Important information regarding these issues can also be found at the following web site: