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Since September 2008, I am a PhD-student under the supervision of Erik Koelink at the Radboud University of Nijmegen.
M.P.T. Caspers
p/a Radboud University Nijmegen,
Department of Mathematics
Heyendaalseweg 135
6525 AJ Nijmegen
The Netherlands
You can visit me at:
Huygens building, room number HG 03.744
Heyendaalseweg 135
6525 AJ Nijmegen
On the internet:
E: caspers_nospam_@math.ru.nl, omit '_nospam_'
W: www.math.ru.nl/~caspers
Or make a call to our room:
024-36 53226 (+0031)
Research
My main field of research
consists of non-commutative integration (in the setting of weight theory on Von Neumann algebras) in relation to locally compact quantum groups.
Scientific texts
- "The Walsh basis in the Lp-spaces of hyperfinite III_\lambda factors, 0 < \lambda <=1".
with Denis Potapov and Fedor Sukochev.
pdf, preprint.
- "The L^p-Fourier transform on locally compact quantum groups".
To appear in the Journal of Operator Theory.
pdf, preprint.
- "Spherical Fourier transforms on locally compact quantum Gelfand pairs".
SIGMA 7 (2011), 087, 39 pages.
pdf, preprint, journal.
- "Modular properties of matrix coefficients of corepresentations of a locally compact quantum group".
Together with Erik Koelink.
Journal of Lie Theory 21 (2011), no. 4, 905-928.
pdf, preprint, journal.
- "Intuitionistic quantum logic of an n-level system".
Together with Chris Heunen, Klaas Landsman and Bas Spitters.
Foundations of Physics 39 (2009), No. 7, 731-759.
pdf, preprint, journal.
- "Gelfand spectra of C*-algebras in topos theory" (MSc. Thesis 2008).
Under supervision of Klaas Landsman.
Awarded with the GQT MSc. thesis price.
pdf, ps.
Talks, visits
- Talk at Workshop on Quantum Groups Nijmegen (March 29, 2012).
link
- Colloquium Georg-August-Universitaet Goettingen (February 9, 2012).
abstract
- Talk at Operator Algebra Seminar Copenhagen (February 7, 2012).
- Visiting Australian National University (October 31 - November 4, 2011).
- Two presentations at Monash University (analysis group) (August 9 + 10, 2011, Monash University Melbourne)
abstracts.
- Talk at Departemental Seminar (July 19, 2011, UNSW Sydney).
abstract, slides.
- Voordracht Desda's Ouderdag (February 5, 2011, Nijmegen, "De priemgetalstelling").
slides.
- Talk at analysis seminar (November 15, 2010, TU Delft).
abstract, slides.
- Talk in the Nijmegen PhD-colloquium
(October 21, 2010, 11.00).
website, abstract, slides.
- Talk at conference on Quantum groups, free probability and non-commutative geometry (September 27 - October
1, CIRM Luminy).
website,
website, abstract.
- Talk at Quantum Groups conference (August 30 - September 3, 2010, Clermont-Ferrand).
website, abstract, slides.
- Talk in the Operator Algebra Seminar (May 21, 2010, 13.30-14.30, KU Leuven).
website, abstract.
- Talk in Seminar on Quantization, noncommutative geometry and symmetry (May 11, 2010, 15.45-16.45).
website, abstract.
- Talk in the Nijmegen PhD-colloquium
(June 10, 2009, 11.00).
website, abstract.
Various
- Seminar 'Topics in Mathematical Physics' (link). Currently following the book by Liviu Nicolaescu on An invitation to Morse theory.
Great opportunity for M.Sc.
students that like to follow a more advanced course. This time in differential geometry, but also other topics can be treated in the sequel. Also
suggestions are very welcome!
- Seminar 'Topics in operator algebras' (link). Finished with the topic subfactors.
- Course on Quantum Groups and Special Functions (Faculte des Sciences de
Bizerte,
Tunisia, 22-26 February 2010). Assistent for the exercise sessions. See Erik
Koelink his page. The notes can be
downloaded here.
Education
The courses that are given in Dutch are announced as such. Zie de 'studiegids ' voor een beschrijving. Zie blackboard voor meer informatie.
- "Inleiding Functionaal Analyse" (2009, 1e semester; 2011, 2e semester).
Tentamen 10 mei 2010: Tentamen.
Tentamen 28 juni 2011: Tentamen.
- "Deficientie cursus" (2009, zomercursus), met Maarten van
Pruijssen.
De cursus wordt vanaf 2010 niet meer gegeven.
- "Dynamische systemen" (2009, 4e kwartaal), met Erik
Koelink; (2010, 4e kwartaal), met Walter van Suijlekom; (2011, 4e kwartaal) met Maarten van Pruijssen
en Michael Mueger.
Zie de 'studiegids ' voor een beschrijving. Zie blackboard voor meer informatie.
Tentamen 1 juli 2009: Tentamen, Uitwerkingen.
Tentamen 26 augustus 2009: Tentamen, Uitwerkingen.
Tentamen 29 juni 2010: Tentamen, Uitwerkingen.
Tentamen 29 juni 2011: Tentamen, Uitwerkingen.
Tentamen 24 augustus 2011: Tentamen, Uitwerkingen.
Links
What would a mathematician be without his mathematical friends?
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