Homepage of Stephan Klaus

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Short cv

Research interests:

  • Algebraic Topology (simplicial homotopy theory, configuration spaces, cohomology and cochain operations, H-spaces)
  • Differential Topology (homogeneous spaces, complete intersections, knot theory, braids)
  • Geometry (positive curvature, combinatorial curvature, curvature and topology, moduli spaces)
  • Combinatorics (combinatorial manifolds, polyhedra and arrangements, species, generating functions)
  • Algebra (homogeneous forms, invariants and positivity, permutation group invariants, higher symmetric polynomials, cohomology of groups, loop theory)
  • Theoretical Physics and Mathematical Models in other Sciences

Publications:

See my publication list at Research Gate, status 2015:

  • 20 publications in Research Gate (including thesis and conference reports)
  • 13 research articles in refereed math journals; see zbMATH and MathSciNet
  • 3 further research articles already accepted
  • 5 preprints in preparation
  • 3 math videos: “Algebraic Vibrations” (2016, with Bianca Violet., math concept) “Katzengold” (2015, with Bianca Violet., math concept) “LPDJLQH D VHFUHW” (2010, with J.F. Rodrigues et.al., concept and elliptic surfaces)

Research visits and invited talks:

(only past 5 years, talks at the MFO not included)

  • Shanghai 2015 (talk at SJTU-KIT workshop, Org.: Y. Yang, W. Tuschmann)
  • Lambrecht 2015 (talk at Pfalz-Akademie conference in honour of G.-M. Greuel)
  • Luminy 2015 (CIRM, research stay with A. Dessai, W. Tuschmann)
  • Dresden 2014 (talk at Matrix Conference of international math museums)
  • Athens 2014 and 2012 (research stay with S. Lambropoulou)
  • Berkeley 2014 (MSRI, research stay with P. Teichner)
  • Bonn 2012 (talk at MPI workshop in honour of M. Kreck)
  • Heidelberg 2011 (Imaginary opening talk)
  • Lahore 2011 (Plenary speaker at 5th World Conference on Math.)
  • Braga/Lisbon 2010 (6 talks, invitation by J.-F. Rodrigues)
  • Fribourg 2010 (research stay with A. Dessai)

Lectures and seminars at Mainz University and KIT:

  • 30. Spin-Mannigfaltigkeiten, alpha-Invariante und positive Skalarkrümmung, Vorlesung KIT, Sommersemester 2016
  • 29. Mannigfaltigkeiten und ihre Klassifikation, Vorlesung Uni Mainz, Wintersemester 2015/16
  • 28. Operaden, Vorlesung Uni Mainz, Sommersemester 2015
  • 27. Knotentheorie, Vorlesung Uni Mainz, Wintersemester 2014/15
  • 26. Bott-Periodizität in Topologie, Geometrie, Algebra und Analysis, Vorlesung Uni Mainz, Sommersemester 2014
  • 25. Charakteristische Klassen und Bordismustheorie, Vorlesung KIT, Wintersemester 2013/14
  • 24. Zellkomplexe, Teilchen und Konfigurationsräume, Vorlesung KIT, Sommersemester 2013
  • 23. Formale Gruppen und stabile Homotopietheorie II, Vorlesung Uni Mainz, Wintersemester 2012/13
  • 22. Formale Gruppen und stabile Homotopietheorie I, Vorlesung Uni Mainz, Sommersemester 2012
  • 21. Rationale Homotopietheorie, Vorlesung Uni Mainz, Wintersemester 2011/12
  • 20. Toplogie der Zellkomplexe, Vorlesung Uni Mainz, Sommersemester 2011
  • 19. Geometrie und Topologie der Flächen, Vorlesung Uni Mainz, Wintersemester 2010/11
  • 18. Differentialtopologie, Hauptseminar Uni Mainz, Sommersemester 2010
  • 17. Kompakte Lie-Gruppen und ihre Darstellungen, Vorlesung Uni Mainz, Wintersemester 2009/10
  • 16. Spektralsequenzen, Vorlesung Uni Mainz, Sommersemester 2009
  • 15. Kohomologie-Operationen, Vorlesung Uni Mainz, Wintersemester 2008/09
  • 14. Einführung in das Atiyah-Singer-Index Theorem, Vorlesung Uni Mainz, Sommersemester 2008
  • 13. Clifford-Moduln, Hauptseminar Uni Mainz, Wintersemester 2007/08
  • 12. Charakteristische Klassen, Vorlesung Uni Mainz, Sommersemester 2007
  • 11. Morse Theorie, Vorlesung Uni Mainz, Wintersemester 2006/07
  • 10. Simpliziale Objekte, Vorlesung Uni Mainz, Sommersemester 2006
  • 9. Vektorbündel und K-Theorie, Vorlesung Uni Mainz, Wintersemester 2005/06
  • 8. Krümmung und Topologie, Vorlesung Uni Mainz, Sommersemester 2005
  • 7. Erzeugende Funktionen, Vorlesung Uni Mainz, Wintersemester 2004/05
  • 6. Einführung in die Homotopie-Theorie, Vorlesung Uni Mainz, Sommersemester 2004
  • 5. Lie-Gruppen und homogene Räume, Vorlesung Uni Mainz, Wintersemester 2003/04
  • 4. Knotentheorie, Vorlesung Uni Mainz, Sommersemester 2003
  • 3. Einführung in die Differentialtopologie, Vorlesung Uni Mainz, Sommersemester 2002
  • 2. Elementare Berechnung stabiler Homotopiegruppen in kleinen Dimensionen, Antrittsvorlesung Uni Mainz, Mai 2001
  • 1. Differentialtopologie I, Habilitationsvorlesung Uni Mainz, Wintersemester 1996/97

Management and memberships:

  • 2004 to today: Managing administrator of Oberwolfach Reports (MFO)
  • 2007 to today: Managing administrator of Oberwolfach Preprints (MFO)
  • 2005 – 2008 Member of “Scientific User Committee” of zbMATH (Zentralblatt)
  • 2008 – 2013 Chair of “Scientific User Committee” of zbMATH (Zentralblatt)
  • 2010 – 2013 Scientific Secretary of ERCOM (Europ. Res. Centers on Math., EMS)
  • 2010 to today: Managing administrator of MiMa (Museum for Minerals and Mathematics, Oberwolfach)

Further links:

  • Personal SURFER gallery (under construction)
  • Mathe-AG at Oberwolfach (in German)

Address and Contact:

Prof. Dr. Stephan Klaus

Scientific Administrator
Mathematisches Forschungsinstitut Oberwolfach gGmbH
Schwarzwaldstrasse 9-11
77709 Oberwolfach-Walke
Germany
Phone/Fax: +49 (0)7834 979 51/55
Außerplanmäßiger Professor
Institut für Mathematik
Johannes Gutenberg-Universität Mainz
Staudingerweg 9
55099 Mainz
Germany

email_klaus


Mathematisches Forschungsinstitut Oberwolfach updated: November 2015