Homepage of Margit Rösler
Coordinates: TU Clausthal Department of Mathematics Erzstraße 1 D-38678 Clausthal-Zellerfeld Germany Office: 304 Phone: +49 5323 72 - 2409 Fax: +49 5323 72 - 5011 E-Mail: (@math.tu-clausthal.de) roesler Office hours: by appointment

Teaching (in german)

• Fourieranalysis (3h Vorlesung, 1h Übungen)
  (Wahlpflicht Analysis/Reine Mathematik)
• Liegruppen (3h Vorlesung, 1h Übungen)
  (Vertiefung im Bereich Analysis/Reine Mathematik)
• Seminar Analysis: Funktionentheorie (mit H. Remling)
  Siehe: Ankündigung
• Oberseminar Analysis und Spektraltheorie: Brasche, Demuth, Rösler
  Mi 13-15, Seminarraum A.


• Link zu :  Vorträge am Institut
  

Research Interests

• Dunkl operators and special functions associated with root systems
• Hypergeometric functions of matrix argument
• Symmetric spaces and their spherical functions
• Convolution algebras and hypergroups
• Applications and interrelations: Quantum integrable models, stochastic processes, random matrices
• Wavelets with symmetries
• Uncertainty principles

Publications and Preprints

• (with H. Remling) Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians; submitted. ArXiv:0911.5123
• Positive convolution structure for a class of Heckman-Opdam hypergeometric functions of type BC; to appear in J. Funct. Anal. Online version, 2009
• (With M. Voit) Limit theorems for radial random walks on pxq-matrices as p tends to infinity. To appear in Math. Nachr. (Link)
• (With M. Voit) Dunkl theory, convolution algebras, and related Markov processes.In: Harmonic and stochastic analysis of Dunkl processes; eds. P. Graczyk et al., Travaux en cours 71, Hermann, Paris, 2008, pp. 1-112. Preprint version: (Link)
• (With M. Voit) A limit relation for Dunkl-Bessel functions of type A and B. SIGMA 4 (2008), 083. ArXiv: math.CA/0812.0739 (Link)

Editorship

• SIGMA special issue (2007-08) on "Dunkl Operators and Related Topics";
  I was a guest editor
• P. Graczyk, M. Rösler, M. Yor (eds.): Harmonic and Stochastic Analysis of Dunkl Processes, Travaux en cours 71, Hermann, Paris, 2008.

Short CV

• Study of Mathematics (Minor Physics), TU Munich and ETH Zürich 1982-88
• Grants by: Studienstiftung des Deutschen Volkes, Stiftung Maximilianeum
• Diploma in Mathematics, TU Munich 1988
• Research associate (Nachwuchswissenschaftlerin), GSF Research Center for Environment and Health Munich 1989-92
• Doctorate in Mathematics, TU Munich 1992
  Advisors: R. Lasser, E. Thoma
• Postdoc and Assistant Professor, Department of Mathematics, TU Munich 1993-2000
• DFG Research grant, Univ. of Virginia, Charlottesville, USA 1996-97
• Habilitation in Mathematics, TU Munich 1999
• Oberassistentin (Lecturer), Univ. Göttingen 2000-04
• NWO Research grant, Univ. van Amsterdam, Netherlands, 2004-05, interrupted by
• Substitute professorship, TU Darmstadt, winter term 04/05
• Associate professor, TU Clausthal, since 2006.

• TU Wroclaw, Poland, October 1999
• Isaac Newton Institute, Cambridge, UK, March 2001 (guest researcher within the programme Symmetric Functions and Macdonald Polynomials)
• Univ. Tunis II, Tunisia, March 02
• Capital Normal University, Beijing, September 03
• Guest professor Univ. Metz, France, October 05
• Univ. Bochum, SFB/TR 12 (Symmetries and universality in mesoscopic systems), 05 and 06
• University of Aarhus, Denmark, September 08