Carsten Lange

• Diskrete Geometrie
• Kombinatorik
• Coxetergruppen
• Topologie

Wintersemester 2021/22

• Übungsleitung zur Linearen Algebra 1 [MA0004]
• Mathematik-Visualisierung [MA2210]

• Projekt A03 Geometric Constraints for polytopes, DFG SFB/Transregio 109 Discretization in Geomtry and Dynamics» (2nd funding period, 06/2016-06-2020)
• Schnupperstudium Mathematik, einwöchiger Kompaktkurs für alle Studieninteressierten ab Klassenstufe 10
  Teilprojekt von TUM-Individual im Rahmen der Initiative Aufstieg durch Bildung des Bundesministeriums für Bildung und Forschung.
• TUM-Mathezirkel, wöchentlicher Mathematikzirkel für Klassenstufe 7-10 der TU München.

• Combinatorial inscribability obstructions for higher-dimensional polytopes
  with Joseph Doolittle, Jean-Philippe Labbé, Rainer Sinn, Jonathan Spreer, and Günter M. Ziegler
  Mathematika 66 (2020), pp. 927-953.
• Cambrian Acyclic Domains: Counting c-singletons
  with Jean-Philippe Labbe
  Order 37 (2020), pp. 571-603.
• Associahedra via spines
  with Vincent Pilaud
  Combinatorica 38 (2018), pp. 443-486.
• 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.
• Minkowski decomposition of associahedra and related combinatorics
  Discrete and Computational Geometry 50 (2013), pp. 903-939.
• Optimal topological simplification of discrete functions on surfaces
  with Ulrich Bauer and Max Wardetzky
  Discrete Computational Geometry 47 (2012), pp.347-377.
• Permutahedra and generalized associahedra
  with Christophe Hohlweg and Hugh Thomas
  Advances in Mathematics 226 (2011), pp. 608-640.
• Isometry classes of generalized associahedra
  with Nantel Bergeron, Christophe Hohlweg and Hugh Thomas
  Seminaire Lotharingien de Combinatoire 61A (2009), 13 pages.
• Zur Geometrie von Frühstückseiern(in german)
  with Konrad Polthier and Udo Simon
  Mathematische Semesterberichte 56 (2009), pp. 1-14.
• Realizations of the associahedron and cyclohedron
  with Christophe Hohlweg
  Discrete and Computational Geometry 37 (2007), pp. 517-543.
• On generalized Kneser hypergraph colorings
  with Günter M. Ziegler
  Journal of Combinatorial Theory, Series A 114 (2007), pp. 159-166.
• Anisotropic smoothing of point sets
  with Konrad Polthier
  Computer Aided Geometric Design 22 (7) (2005), pp 680--692.
• 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

• Some volume identities for W-permutahedra
  Discrete Geometry Seminar, FU Berlin, Januar 2019.
• Cayley graphs of finite Coxeter groups, Colin de Verdiere matricess and convex polytopes
  EPSRC WorkshopGeometry and Computation on Groups and Complexes, Newcastle University, June 2016.
• Cayley graphs of finite Coxeter groups, Colin de Verdiere matricess and convex polytopes
  Oberseminar Theoretische Informatik, ETH Zürich, May 2016.
• Generaliyed permutahedra and signed Minkowski decompositions
  Forschungsseminar Algebra/Algebraische Geometrie, FU Berlin, June 2015
• Signed graphs, nested set complexes and spines
  Kolloquium des SFB/Transregio 109Discretization in Geometry and Dynamics, TU München, January 2015.
• Many polytopal realizations of generalized associahedra
  GGA-Seminar, Newcastle University, March 2014.
• Many polytopal realizations of generalized associahedra
  Geometry and Topology Seminar, Durahm University, March 2014.
• Revisit constructions of associahedra
  Oberseminar Algebra und Geometrie, Otto-von-Guericke Universität Magdeburg, January 2014.
• Realizations of generalized Associahedra and related combinatorics
  Oberseminar Algebra und Algebraische Kombinatorik, Leibniz Universität Hannover, January 2014.