Email:
raum@math.su.se
Public key
ORCID:
0000-0002-9188-9890
ResearcherID:
K-6725-2017
I am Sven Raum, working as associate professor at Stockholm University in Sweden. My research focuses on the interaction between operator algebras, group theory and representation theory. The major link between these topics is created by group operator algebras, such as the reduced group C*-algebras and the group von Neumann algebra. Both can be associated with arbitrary locally compact groups. Other relevant topics for my work are C*-tensor categories, quantum groups, topolgical dynamics, ergodic theory and totally disconnected locally compact groups.
Besides research mathematics, I enjoy thinking about didactics of higher education. In my free time, I like learning languages, doing sports and cooking.
Due to the Corona pandemic, our seminar on Harmonic Analysis, Operator Algebras and Representation Theory (pronounced "Howard") is currently suspended in favor of Wednesday's Zoom Seminar.
All abstracts can be found in the SMC calender: Link
An algebraic characterization of ample type I groupoids
with Gabriel Favre
ArXiv (2020)
Amenability, proximality and higher order syndeticity
with Matthew Kennedy and Guy Salomon
ArXiv (2020)
Factorial multiparameter Hecke von Neumann algebras and representations of groups acting on right-angled buildings
with Adam Skalski
ArXiv (2020)
Measure equivalence for non-unimodular groups
with Juhani Koivisto and David Kyed
To appear in Transform. Groups
ArXiv (2018)
Measure equivalence and coarse equivalence for locally compact amenable groups
with Juhani Koivisto and David Kyed
To appear in Group, Geom. and Dyn.
ArXiv (2017)
Cartan subalgebras in dimension drop algebras
with Selçuk Barlak
J. Inst. Math. Jussieu (2019) and the
ArXiv version
Locally compact groups acting on trees, the type I conjecture and non-amenable von Neumann algebras
with Cyril Houdayer
Comm. Math. Helv. 76 (2019) No. 1, 185-219. and the ArXiv version
C*-simplicity of locally compact Powers groups
J. Reine Angew. Math. 748 (2019) 173-205 and the ArXiv version
C*-superrigidity of 2-step nilpotent groups
with Caleb Eckhardt
Adv. Math. 338 ( 2018), 175-195 and the ArXiv version
Higher l^{2}-Betti numbers of universal quantum groups
Julien Bichon and David Kyed
Can. Math. Bull. 61 (2018), No. 2, 225-235 and the ArXiv version
Traces on reduced group C*-algebras
with Matthew Kennedy
Bull. Lond. Math. Soc. 49 (2017) No. 6, 988-990 and the ArXiv version
L^{2}-Betti numbers of rigid C*-tensor categories and discrete quantum groups
with David Kyed, Stefaan Vaes and Matthias Valvekens
Analysis & PDE 10 (2017), No. 7, 1757-1791 and the ArXiv version
On the l^{2}-Betti numbers of universal quantum groups
with David Kyed
Math. Ann. 369 (2017), No. 3-4, 957–975 and the
ArXiv version
Cocompact amenable closed subgroups: weakly inequivalent representations in the left-regular representation
Int. Math. Res. Not., (2016), No. 24, 7671-7685 and the ArXiv version
The full classification of orthogonal easy quantum groups
with Moritz Weber
Commun. Math. Phy. 341 (2016) No. 3, 751-779 and the
ArXiv
Easy quantum groups and quantum subgroups of a semi-direct product quantum group
with Moritz Weber
J. Noncommu. Geo. 9 (2015) No. 4, 1261-1293 and the ArXiv version
Asymptotic structure of free Araki-Woods factors
with Cyril Houdayer
Math. Ann. 363 (2015) No. 1-2, 237-267 and the ArXiv version
Baumslag-Solitar groups, relative profinite completions and measure equivalence rigidity
with Cyril Houdayer
J. Topol. 8 (2015), 295-313 and the ArXiv
The combinatorics of an algebraic class of easy quantum groups
with Moritz Weber
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 3 (2014) and the ArXiv version
Amalgamated free product type III factors with at most one Cartan subalgebra
with Rémi Boutonnet and Cyril Houdayer
Compositio Math. 150 (2014), 143-174 and the ArXiv version
On the classification of free Bogoljubov crossed product von Neumann algebras by the integers
Groups, Geom. and Dyn. 8 (2014) No. 4, 1207-1245 and the ArXiv version
Tensor C*-categories arising as bimodule categories of II_{1} factors
with Sébastien Falguières
Adv. Math. 237 (2013), 331-359 and the ArXiv version
Stable orbit equivalence of Bernoulli actions of free groups and isomorphism of some of their factor actions
with Niels Meesschaert and Stefaan Vaes
Expo. Math. 31 (2013), 274-294 and the ArXiv version
Isomorphisms and fusion rules of orthogonal free quantum groups and their complexifications
Proc. Amer. Math. Soc. 140 (2012), No. 9, 3207-3218 and the ArXiv version
C*-simplicity after Breuillard, Haagerup, Kalantar, Kennedy and Ozawa
Lecture notes for the Séminaire Bourbaki, January 2019
Lecture notes about Creutz-Peterson's "Character rigidity for lattices and commensureators"
Written for the Arbeitsgemeinschaft "Superrigidity" at MFO, 2014
Lecture C3 and Lecture C4
A connection between easy quantum groups, varieties of groups and reflection groups
with Moritz Weber
This is an arXiv preprint from 2012 which is not intended for publication. Please cite instead the appropriate article among my remaining work with Moritz.
Categories of representations and classification of von Neumann algebras and quantum groups
My PhD thesis under the supervision of Stefaan Vaes submitted in 2013 at KU Leuven.
2021 Spring |
Geometric group theory Complex analysis |
2020 Spring |
Introduction to operator algebras Foundations of analysis |
2019 Autumn | Combinatorics |
2019 Spring |
Foundations of analysis Ordinary differential equations |
2018 Spring |
Lie groups Homology and cohomology |
2017 Autumn | Linear algebra for engineers |
2017 Spring | Abstract harmonic analysis |
2016 Autumn | Linear algebra for engineers |
2016 Summer | Abstract harmonic analysis |
2015 Winter | Von Neumann algebras and measured group theory |
Since 2019 | Gabriel Favre |
2017/18 | On groups of type I |
2016/17 | C*-simplicity and factorial group von Neumann algebras |
2011/12 | Equivalence relations with prescribed fundamental group (co-supervision) |
2010/11 | Orbit equivalence of Bernoulli actions over free groups (co-supervision) |
2009/10 | There is no universal II_{1} factor (co-supervision) |
2019/20 |
Quantum computing: From Shor’s algorithm to the hidden subgroup problem The travelling salesman in Sweden (teacher student) Classical finite simple groups The spectral theorem for normal operators |
2018/19 | Wallpaper groups (teacher student) |
2017/18 | K-theory and Bott periodicity |
2016/17 | Classification of closed surfaces |
Born on 9th April 1985 in Kassel, Germany.
Since Sep 2018 | Associate Professor at Stockholm University, Sweden |
Sep - Dec 2020 | Visiting Professor at IMPAN, Poland |
2016 - 2018 | Lecturer at EPFL, Switzerland |
2015 - 2016 | Marie Curie International Outgoing Fellow at the University of Münster, Germany |
2014 - 2015 | Marie Curie International Outgoing Fellow at RIMS, Kyoto, Japan |
2013 - 2014 | Post doctoral scholar at ENS Lyon, France |
2009 - 2013 | PhD scholar at KU Leuven, Belgium |
2007 - 2009 | Student teaching assistant at the University of Münster |
Oct 2019 | Docent in Mathematics at Stockholm University, Sweden |
Sep 2009 - Jun 2013 | PhD in Mathematics at KU Leuven, Belgium |
Oct 2005 - May 2009 | Diplom Mathematik at the University of Münster, Germany |
German | Mother tongue |
English | Fluent |
French | Fluent (B2) |
Dutch | Fluent (C1) |
Swedish | Good |
Japanese | Baisc knowledge (JLPT N5) |
Persian | Basic knowledge |