PD Dr. Carsten Lange
Publications
Journals
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Associahedra via spines
with Vincent Pilaud
Combinatorica (to appear), 27 pages
arXiv.
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Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians
with Shipling Liu, Norbert Peyerimhoff and Olaf Post
Calculus of Variations and Partial Differential Equations 54 (2015), pp. 4165-4196,
SpringerLink (open access), arXiv.
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Minkowski decomposition of associahedra and related combinatorics
journal version (extended abstract presented at FPSAC 2011 and CCCG 2011)
Discrete and Computational Geometry 50 (2013), pp. 903-939,
SpringeLink, arXiv. -
Optimal topological simplification of discrete functions on surfaces
with Ulrich Bauer and Max Wardetzky
Discrete Computational Geometry 47 (2012), pp.347-377,
Springerlink (open access), arXiv:1001.1269 -
Permutahedra and generalized associahedra
with Christophe Hohlweg and Hugh Thomas
Advances in Mathematics 226 (2011), pp. 608-640,
article (ScienceDirect), final version as PDF,
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Isometry classes of generalized associahedra
with Nantel Bergeron, Christophe Hohlweg and Hugh Thomas
Seminaire Lotharingien de Combinatoire 61A (2009), 13 pages,
PDF/PS/DVI,
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Zur Geometrie von Frühstückseiern(in german)
with Konrad Polthier and Udo Simon
Mathematische Semesterberichte 56 (2009), pp. 1-14.
article (Springerlink), PDF -
Realizations of the associahedron and cyclohedron
with Christophe Hohlweg
Discrete and Computational Geometry 37 (2007), pp. 517-543
SpringerLink, final version as PDF
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,
ScienceDirect, arXiv -
Anisotropic smoothing of point sets,
with Konrad Polthier
Computer Aided Geometric Design 22 (7) (2005), pp 680--692
article (ScienceDirect), PDF
see also a collection of simulations
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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,
ScienceDirect, arXiv
Reports and (refereed) Conferences
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Combinatorics of Minkowski decompositions of associahedra
presented at 23rd CCCG 20011, Toronto (pp 611--622 of Proceedings).
PDF (Proceedings of CCCG 2011) -
Minkowski decompositions of associahedra
presented at 23rd FPSAC 2011, Reykjavik (pp 611--622 of Proceeding)
PDF (Proceedings of FPSAC 2011) -
Persistence Simplifiation of Discrete Morse Functions on Surfaces
with Ulrich Bauer and Max Wardetzky
Oberwolfach Reports, Volume 6, Issue 1 , 2009, pp 116--119.
Preprints
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Cambrian acyclic domains: counting c-singletons
with Jean-Philippe Labbe
in preparation -
On generalised Kneser colourings
first version of On generalized Kneser hypergraph colorings
7 pages, 2003
arXiv:1204.4547 [math.MG].
Theses
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Associahedral Structures in Algebra, Combinatorics and Geometry,
Habilitationsschrift, Fachbereich für Mathematik und Informatik, Freie Universität Berlin
PDF -
Combinatorial Curvatures, Group Actions, and Colourings: Aspects of Topological Combinatorics,
PhD thesis, supervised by Günter M. Ziegler, 95 pages, PDF -
Der Diracoperator und sein Spektrum auf semiriemannschen Mannigfaltigkeiten
(Spectral properties of the Diracoperator on semi-Riemannian manifolds, in german)
supervised by Helga Baum, second advisor Elmar Vogt
diploma thesis, 115 pages, PDF
Contact:
PD Dr. Carsten Lange
Technische Universität München
Zentrum Mathematik (M10)
Boltzmannstr. 3
D - 85748 Garching bei München
Germany
and
Freie Universität Berlin
AG Mathematical Geometry Processing
Arnimallee 6
D-14195 Berlin, Germany