300 Level Courses
for Fall 2006

Topics in Analysis: Mathematical Analysis for Parabolic Equations 22M:303 Instructor: Lihe Wang Time: 10:55-12:10 TR Place: 210 MLH	Text: No Text. Notes will be provided. Many physical processes, like heat diffusion, population growth and pollution propagation are all modeled mathematically by parabolic equations. This course is a rigorous study of parabolic equations. A more detailed description is given by the file: http://www.math.uiowa.edu/~lwang/parabolic.pdf Prerequisite 22M210, 22M216 or 22S203. 2-3 s.h.
Topics in Analysis 22M:303 Instructor: Tuong Ton-That Time: 11:30-12:20 MWF Place: 210 MLH	Text: Srinivasa Rao, Linear Algebra & Group Theory for Physicists, 2nd ed. AMS. Below is an outline of the course content: - The Peter-Weyl Theory -Representation theory of compact classical groups -The Weyl character formula for compact classical group -Tensor product representations of the unitary groups. I will use my own lecture notes and the book " Linear Algebra and Group Theory for Physicists" by K.N.Srinivasa Rao (distributed by the AMS) as a reference. Prerequisite: a course in Linear Algebra (22M:27 or 22M:127), an undergraduate course in abstract algebra (22M:50 or 22M:120), and an undergraduate course in Analysis (22M:115).
Functional Analysis I 22M:313 Instructor: Palle Jorgensen Time: 3:30-4:20 MWF Place: 205 MLH	Text: Jorgensen, Analysis and Probability Wavelets, Signals, Fractals. Series: Graduate Texts in Mathematics, Vol. 234, Springer. Douglas, Banach Algebra Techniques in Operator Theory, 2nd ed. Series: Graduate Texts in Mathematics, Vol. 179, Springer. The course will begin with fundamentals of functional analysis, and then turn to some more algebraic parts of the subject. We will be aiming at selected topics in operator theory, and operator algebras. Pure and applied! Otherwise, we will select topics following the wishes of students who sign up. (In particular I have in mind also another volume in the yellow Graduate Texts in Mathematics no 234 Springer series.) Similarly we will adjust the level of the course to where students are in their program and in their interests. Grading in 300 level courses is generous and usually based on participation in class discussions, and on student presentations. Prerequisite: 22M:211 or consent of instructor.  3 s.h.
Topics in Algebra 22M:330 Instructor: Frauke Bleher Time: 12:30-1:20 MWF Place: 114 MLH	Text: J.-P. Serre "Linear representations of finite groups", GTM Vol. 42, Springer Verlag, 1977. This course gives an introduction to group representations, emphasizing both characteristic 0 (ordinary representation theory) and positive characteristic (local representation theory). Moreover, an application of this to Mazur's deformation theory will be discussed, which shows in a powerful way the interplay between ordinary and local representation theory. Prerequisite: 22M:206 or consent of instructor.  3 s.h.
Seminar: Operator Theory 22M:390 Organizers: Palle Jorgensen, Paul Muhly, Tuong Ton-That Time: Place: 301 VAN	Topics: Faculty, visitors, postdocs, and students present topics in operator theory and related areas (e.g, operator algebras, representations of Lie groups, wavelets, and more) of current interest. For grad students in math and in physics, they will help you focus on thesis projects. http://www.math.uiowa.edu/~jorgen/
Seminar: Mathematical Physics 22M:393 Organizers: Palle Jorgensen, Bill Klink (Physics) Paul Muhly, Tuong Ton-That Time: Place: 301 VAN	Topics: Faculty, visitors, postdocs, and students present topics in math physics of current interest. For grad students in math and in physics, they will help you focus on thesis projects. http://www.math.uiowa.edu/~jorgen/

Last updated by K. Voss on 8.10.06.