Course Synopses


  • Course Description:

    The past 20 years have been an exciting time for the interaction of mathematics and physics. Remarkable new mathematical discoveries have been made using the methods of quantum field theory. Conversely, powerful new mathematical techniques have been successfully applied to gain nontrivial insights in sophisticated theories like supersymmetric gauge theories and string theory.

    The purpose of this course is to provide some of the mathematical background which one needs in order to learn about these modern developments. The course surveys some aspects of topology and differential geometry of manifolds, with an emphasis on relations to modern mathematical physics. The course will also cover some aspects of supersymmetry.

    This course is primarily intended for physics graduate students specializing in theoretical physics.

    Some knowledge of manifolds, differential forms, and cohomology will be assumed, but we will try to keep the course material self-contained.

  • Learning Management System: