Søren Knudby
PhD student
Advisor: Uffe Haagerup
Department of Mathematical Sciences
University of Copenhagen.
Research
My main interest is the study of operator algebras, especially von Neumann algebras and relations to group theory. In particular, I study approximation properties for groups and von Neumann algebras to see how they relate and complement each other. A classic example is that of amenability which for a group may be formulated as an approximation property and is reflected as hyperfiniteness of the group von Neumann algebra.
I am affiliated with the Non-Commutative Geometry group and the Centre for Symmetry and Deformation.
Teaching
I have been a teaching assistant at the math department in Copenhagen in the undergraduate courses in probability & statistics, linear algebra, measure theory, analysis (Hilbert space theory) and group theory during the years 2008 - 2011.
I have lectured an introductory course on LaTeX (one week). I have also been a class teacher in first year calculus.
- LaTeX 2011 (course homepage, in Danish)
Projects
(no original results here)- Master thesis: Free probability theory and the interpolated free group factors
- Graduate project: Disintegration theory for von Neumann algebras
- Bachelor thesis: The Banach-Tarski paradox
