SYLLABUS MATH 690G in Spring 2005

Topics in Algebra and Number Theory

 

1.      Representation of finite groups.

2.      Quadratic forms, Lattices, and sphere packing problem.

3.      Knots, links, and invariance.

4.      Hypergeometricdifferential equations and hypergeometric series.

5.       Classical problems: partition functions, congruence number problems, etc.