I am glad to discuss possible topics for bachelor,
diploma and doctoral theses.
Please come and talk more with me, any time I am in my office M226.
I offer courses as supported self study packages. Contents and material will be decided individually. For example, it may consist of lecture notes, books, research papers and regular appointments with the instructor. The grading is based on homework assignments, seminar presentations, home or oral exams. There are no particular prerequisites.
Harmonic analysis (maximal functions, Muckenhoupt
weights, Calderon-Zygmund theory, BMO)
Modern real analysis
Nonlinear partial differential equations (nonlinear parabolic equations, porous medium equation)
Analysis on metric measure spaces (Sobolev spaces, minimizers and quasiminimizers for elliptic and parabolic variational problems, functions of bounded variation, minimal surfaces, variational problems with linear growth)