Dr. Matthias Neufang
Full Professor, School of Mathematics and Statistics, Carleton University, Ottawa, Canada
Full Professor, Department of Mathematics, Université Lille 1, France (on leave)
Where I am mentally
My research interests lie within functional analysis and harmonic analysis,
whose interaction naturally takes place in the framework of Banach and
operator algebras. One of my central objectives is to investigate the link
between two important branches of modern analysis, one classical, the other
pretty young, but mature enough for important applications: abstract harmonic
analysis and Banach algebra theory on the one hand, and the theory of operator
spaces and completely bounded maps, on the other hand. The bridge which makes
this fruitful interplay possible is provided by representation theory -
and this is indeed the place where I spend quite some time walking... A particular highlight
where such a walk can lead, is the recent theory of locally compact quantum groups, a
beautiful blend of operator algebras and abstract harmonic analysis.
For those interested in a monograph on operator spaces and completely bounded maps
written by my former supervisor Prof. Gerd
Wittstock and his research group (Benedikt Betz, Hans-Jörg Fischer, Anselm Lambert, Kim Louis, Matthias Neufang,
and Ina Zimmermann):
Some stages from my education
- Licence de Lettres Modernes (Bachelor in French Literature and Linguistics),
Université Lille 3 (France),
1997
- Maîtrise de Mathématiques (Master's Degree in Mathematics),
Université
Lille 1 (France), 1997
- Dr. rer.nat. (Ph.D. in Mathematics), Universität
des Saarlandes, Saarbrücken (Germany), 2000
- Postdoctoral Fellow of the Pacific Institute for the Mathematical Sciences (PIMS),
University of Alberta, Edmonton (Canada), 2001-2002
Some of my mathematical work
- Amplification of completely bounded operators
and Tomiyama's slice maps, Journal of Functional Analysis
- Operator space structure and amenability for Figà-Talamanca-Herz algebras (with A. Lambert
and V. Runde), Journal of Functional Analysis
- Solution to a conjecture by Hofmeier-Wittstock, Journal of Functional Analysis
- A unified approach to the topological centre problem
for certain Banach algebras arising in abstract harmonic analysis, Archiv der Mathematik
- On a conjecture by Ghahramani-Lau and related problems concerning topological centres, Journal of Functional Analysis
- The Choquet-Deny equation in a Banach space (with W. Jaworski), Canadian Journal of Mathematics
- Harmonic operators: the dual perspective (with V. Runde), Mathematische Zeitschrift
- On the topological centre of the algebra LUC(G)* for
general topological groups (with S. Ferri), Journal of Functional Analysis
- Completely isometric representations of M_{cb}A(G) and
UCB(G^)* (with Z.-J. Ruan and N. Spronk), Transactions of the American Mathematical Society
- On Mazur's property and property (X), Journal
of Operator Theory
- Column and row operator spaces over QSL_{p}-spaces and their use in abstract harmonic analysis (with V. Runde), Journal of Mathematical Analysis and Applications
- A representation theorem for locally compact quantum groups (with M. Junge and Z.-J. Ruan), International Journal of Mathematics
- On topological centre problems and SIN quantum groups (with Z. Hu and Z.-J. Ruan), Journal of Functional Analysis
- Multipliers on a new class of Banach algebras, locally compact
quantum groups, and topological centres (with Z. Hu and Z.-J. Ruan), Proceedings of the London Mathematical Society
- Completely bounded multipliers over locally compact quantum groups (with Z. Hu and Z.-J. Ruan),
Proceedings of the London Mathematical Society
- Weak factorizations of operators in the group von Neumann algebras of certain
amenable groups and applications (with M. Filali and M. Sangani
Monfared), Mathematische Annalen
My teaching at the University of Alberta
Fall 2001:
Calculus I (MATH 100)
My teaching at Carleton University
Fall 2002:
Multivariable Calculus for Engineering Students (MATH 2004), Section C
Winter 2003:
Advanced Calculus (MATH 3002)
Mathematical Methods I (MATH 3705), Section C
Fall 2003:
Functions of a Complex Variable (MATH 3007)
Introduction to General Topology (MATH 4205/5205)
Winter 2004:
Advanced Calculus (MATH 3002, formerly 70.302*)
Mathematical Methods I (MATH 3705, formerly 69.375*), Section A
Fall 2005 and Winter 2006:
Calculus (MATH 1002)
Fall 2006 and Winter 2007:
Calculus (MATH 1002)
Fall 2013:
Functions of a Complex Variable, Honours (MATH 3057)
Banach Algebras (MATH 5003)