See the graduate course descriptions page for the syllabus.
My office is Math 446. Feel free to stop by if the door is open. Otherwise, office hours will be by appointment. Email me at tsincla(at)purdue(dot)edu or see me before/after class to schedule a meeting.
Functional Analysis and Operator Theory
Von Neumann Algebras
Very short, elementary proof of Banach-Steinhaus not using* Baire Category. (*The axiom of dependent choice is invoked, however, which is equivalent to Baire Category!)
Von Neumann's short and elegant proof of the Radon-Nikodym theorem, courtesy of Blame It On The Analyst.