Aaron Tikuisis
Room 130.022 (Neubau)Mathematisches Institut
Westfälisches Wilhelms-Universität Münster
atiku_01@uni-münster.de (Please replace the u-umlaut by the letter "u" followed by an "e")
(0251) 833-5071
I have recently completed my Ph.D. at the University of Toronto. My advisor was George Elliott and my research is on the structure of C*-algebras. I am currently a postdoctoral researcher in the Functional analysis, operator algebras, and noncommutative geometry working group at Westfälische Wilhelms-Universität Münster.
Curriculum vitae
Research statement
Research
Ph.D. Thesis
The Cuntz semigroup of C(X,A)Publications and preprints
Finite dimensional ordered vector spaces with Riesz interpolation and Effros-Shen's unimodularity conjecture - Preprint.Regularity for stably projectionless, simple C*-algebras - Preprint.
A classification of finite rank dimension groups by their representations in ordered real vector spaces - Co-authored by Greg Maloney. J. Funct. Anal. (2011), doi:10.1016/j.jfa.2010.12.026.
The Cuntz semigroup of continuous functions into certain simple C*-algebras - Internat. J. Math. (2011), doi:10.1142/S0129167X11007136.
An algebraic approach to the radius of comparison - Co-authored by Bruce Blackadar, Leonel Robert, Andrew Toms, and Wilhelm Winter. To appear in Trans. Amer. Math. Soc.
Hilbert C*-modules over a commutative C*-algebra - Co-authored by Leonel Robert. Proc. Lond. Math. Soc., 2011.
Slides from talks
Z-stability and decomposition rank - Canadian Operator Symposium, 2012 (Kingston).Regularity properties for stably projectionless C*-algebras - Masterclass on Nuclear Dimension, 2011 (Copenhagen).
The Cuntz semigroup of C(X,A) - Thesis defence, 2011.
The real span of a dimension group - Canadian Operator Symposium, 2011 (Victoria).
The Cuntz semigroup of continuous functions into a strongly self-absorbing C*-algebra - Canadian Operator Symposium, 2010 (Fredericton).
The Cuntz semigroup for commutative C*-algebras - Canadian Operator Symposium, 2009 (Regina).
Upcoming events
10-14.9.2012 - Workshop on applications [of forcing] to operator algebras, Fields Institute, Toronto.28.10-3.11.2012 - Workshop: C*-algebras, dynamics, and classification, Oberwolfach.
Some past events
8-9.12.2011 - Minicourse on Operator Algebras, Toronto (organizer).10-13.12.2011 - Winter meeting of the Canadian Math Society, Toronto (Operator Algebras session organizer). Slides from the talks.
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