Here is a list of courses I have given here over the last few years. In
some cases, I have been disciplined enough to type out the notes. Others
are still in a handwritten form. If and when I manage to type them, they
will be put on this page.
- Complex analysis,
- Real analysis, First course in real analysis, found e.g. in
Apostol or Rudin. Here is the set of notes
that I use for this course. There is a very extensive and excellent set of
notes by Terence
Tao that is very well-suited for a course like this. - Algebraic Topology, this was a followup of the course below.
Covered a bit of homotopy theory, did some computations of simplicial
homology and completed the proof of the classification theorem for compact
surfaces.
The notes will appear here sometime soon. - Topology, I taught this course
for the M. Stat. second year during July-Nov, ’03.
After covering standard
material on general topology in the first half of the course,
I spent some time on quotient spaces, manifolds and covered
part of the proof of the classification theorem for compact surfaces.
Here are the notes.
(I drew plenty of help from the notes by
Neil Strickland available
on his webpage, and from a book by
Oleg Viro et al, which also is
available on the net). - Algebra, Here is the skeleton.
- C*-algebras, A set of 14 lectures, that I hope to TeX
some day and put on this page. - Basic differential geometry, meant to be a (very)
quick and brief introduction for people from other areas without going
into too much technicality or details.[ps] - Clifford algebras, based on a series of seminars, and
mainly following the relevant chapter in Lawson/Michelson’s Spin
Geometry, providing more details and computations.[ps] - Topological groups,
- Fourier analysis and complex measures
