Carsten Lange

Address

Freie Universität Berlin
Fachereich für Mathematik und Informatik
Arnimallee 6
14195 Berlin
Germany

Current affiliation

I am member of the Mathematical Geometry Processing Group at FU Berlin led by Konrad Polthier

Visit also my homepage at FU Berlin

Former affiliations

• member of the research group "Discrete Geometry", led by Prof. Dr. Günter M. Ziegler
• member of the european graduate school Combinatorics, Geometry, and Computation
  (here a link to the web-site at ETH Zürich)
• member of the DFG Sonderforschungsbereich 288 Differential Geometry and Quantum Physics
• member of the 2005 program on Algebraic Combinatorics of the Institut Mittag-Leffler in Stockholm and
• Acting Assistant Professor at the University of Washington, Seattle in 2005/06

Research Interests

• Discrete and combinatorial geometry
• Topology and global analysis and their relation to combinatorics
• Colouring problems of graphs and hypergraphs
• Study of generalised permutahedra, in particular the associahedron and cyclohedron
• Geometry of point sets and meshes

Publications

• Realizations of the associahedron and cyclohedron
  with Christophe Hohlweg,
  to appear in Discrete and Computational Geometry, 21 pages,
  arXiv:math.CO/0510614,
  some input data of some examples for use with polymake and LattE
• On generalized Kneser hypergraph colorings
  with Günter M. Ziegler,
  Journal of Combinatorial Theory, Series A 114 (2007), pp. 159-166.
  postscript (2.5MB), zipped postscript (1.1MB), PDF (140KB), arXiv:math.CO/0504607
• Anisotropic smoothing of point sets, with Konrad Polthier
  Computer Aided Geometric Design 22 (2005), pp 680--692
  see also a collection of simulations
  
• Box complexes, neighbourhood complexes, and the chromatic number,
  with Peter Csorba, Ingo Schurr, and Arnold Wassmer,
  Journal of Combinatorial Theory, Series A 108 (2004), pp. 159-168,
  postscript (152KB), zipped postscript (51KB), PDF (152KB), arXiv:math.CO/0310339

Theses

• Combinatorial Curvatures, Group Actions, and Colourings: Aspects of Topological Combinatorics,
  PhD thesis, supervised by Günter M. Ziegler, 95 pages
  postscript (1.6MB), zipped postscript (614KB), PDF (808KB).
• Der Diracoperator und sein Spektrum auf semiriemannschen Mannigfaltigkeiten(in german),
  (Spectral properties of the Diracoperator on semi-Riemannian manifolds)
  supervised by Helga Baum, second advisor Elmar Vogt
  diploma thesis, 115 pages
  postscript (1.1MB), zipped postscript (428KB), PDF (904KB).

Preprints

• Isomertry classes of generalized associahedra,
  with Nantel Bergeron, Christophe Hohlweg and Hugh Thomas,
  preprint, 12 pages,
  arXiv
  
• Permutahedra and generalized associahedra,
  with Christophe Hohlweg and Hugh Thomas,
  preprint, 31 pages,
  arXiv
  
• On generalised Kneser colourings,
  preprint, 7 pages,
  postscript (172KB), zipped postscript (58KB), PDF (168KB), arXiv

Teaching Experience

Useful Links

Stadtplan von Berlin
Berliner Mathematischer Kalender
DMV
AMS
Das Onlinewörterbuch leo
Misc...