Foto: U. Dahl/TU Berlin
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Prof. Günter M. Ziegler

Director of the Media Office of the German Mathematical Society
Deputy chair of the Berlin Mathematical School

Institut für Mathematik, MA 6-2
Algorithmische und Diskrete Mathematik
Diskrete Geometrie
Technische Universität Berlin/Berlin Institute of Technology
Straße des 17. Juni 136
10623 Berlin, Germany

Tel.: +49 - 30 - 314-25730
Tel.: +49 - 30 - 314-23354 (Secretary: Elke Pose, pose(at)math.tu-berlin.de)
Fax: +49 - 30 - 314-21269
Email: ziegler(at)math.tu-berlin.de

Blog: "Mathematik im Alltag"

Buch: Darf ich Zahlen? Geschichten aus der Mathematik

Medienbüro Mathematik:
Thomas Vogt
Tel.: +49 - 30 - 314-78788
Fax: +49 - 30 - 314-78787
vogt(at)math.tu-berlin.de

Netzwerkbüro Schule-Hochschule:
Stephanie Schiemann
Tel.: +49 - 30 - 314-78790
Fax: +49 - 30 - 314-78787
schiemann(at)math.tu-berlin.de

Contents/Inhalt:

Bemerkungen zur Mathematik, Freitag 16:15-17:15 (MA 004)
Lineare Algebra I, Mittwoch und Donnerstag 8:15-9:45 (MA005)
Topology, Mondays 8:30-11:45 (MA 841)

Areas of Research

Discrete Geometry, Polytopes
Combinatorics, Topological Methods
Discrete Differential Geometry, Polyhedral Surfaces
Linear and Integer Programming

Projects

Graduiertenkolleg Methods for Discrete Structures
Berlin Mathematical School
Forschergruppe Polyhedral Surfaces
DFG Research Center Matheon
Deutsche Mathematiker-Vereinigung

Recent Publications/Aktuelle Publikationen

Darf ich Zahlen?
Pi & Co. Kaleidoskop der Mathematik
Proofs from THE BOOK
Polytopes
Discrete Geometry
Combinatorics and Topological Methods
Optimization

List of scientific publications / list of further publications
Materials that previously appeared on my homepage

DMV

$Graduiertenkolleg MDS$

Polyhedral Surfaces

DFG Research Center

DMV

DMV

Jahr der Mathematik

Recent Publications:

Darf ich Zahlen?

Darf ich Zahlen? Geschichten aus der Mathematik
Piper, Müchen.

ist im März 2010 erschienen.

Lesungen u.a.: München, Berlin, St. Augustin, Hannover, Berlin, Heilbronn, ...

Pi & Co. - Kaleidoskop der Mathematik

Pi & Co. - Kaleidoskop der Mathematik
herausgegeben gemeinsam mit
Ehrhard Behrends und Peter Gritzmann
Springer-Verlag Heidelberg 2008.
(Flyer zum Buch)

Das Buch zum DMV-Abiturpreis Mathematik
Neu zum Jahr der Mathematik 2008!

Proofs from THE BOOK

Proofs From THE BOOK
with Martin Aigner, Springer-Verlag Heidelberg 1998;
(revised and expanded) fourth edition, with five new chapters, 2004.
See the preface and the table of contents.
Das BUCH der Beweise
mit Martin Aigner, Springer-Verlag Heidelberg 2001; um fünf zusätzliche Kapitel erweiterte dritte deutsche Ausgabe, Oktober 2009; hier sind Vorwort und Inhaltsverzeichnis.
Raisonnements divins. Quelques demonstrations mathematiques particulièrement elegantes
with Martin Aigner (second edition of the French translation), Springer-Verlag Paris, Paris 2006.
Dowody z ksiegi
with Martin Aigner (Polish translation), PWN Scientific Publishers, Warsaw 2002.
As provas estão n'O LIVRO
with Martin Aigner (Portuguese/brazilian translation), Editora Edgard Blücher, São Paulo 2002.
Proofs from THE BOOK
with Martin Aigner (Japanese translation), Springer-Verlag Tokyo, Tokyo 2002.
Bizonyítások a Könyvböl
with Martin Aigner (Hungarian translation), Typotex Ltd., Budapest 2004.
EL LIBRO de las demostraciones
with Martin Aigner (Spanish translation), Nivola, Tres Cantos (Madrid), 2005.
Proofs from THE BOOK. Edizione italiana a cura di Alfio Quarteroni
with Martin Aigner (Italian translation), Springer, Milano, 2006.
[Proofs from THE BOOK], Russian translation by B. I. Selivanov and A. Zubkov, ISBN 5-03-003690-3, Mir Scientific Publishers, Moscow, 2006.
[Proofs from THE BOOK], Korean translation by M. Kang, Y. Koh, and S. Ree, ISBN 978-89-8172-724-6, Kyowoosa Publisher, Seoul, 2008.
Kitap'tan Deliller [Proofs from THE BOOK], Turkish translation by A. Muhammed Uludag, Bilgi Iletisim Grubu Yayincili, Sisli (Turkey), 2009.
[Proofs from THE BOOK], Chinese translation by Chuanming Zong et al, Higher Education Press, Beijing 2009.
... and there is also a Farsi translation by S. Kazemi IPM, Tehran, Iran, 2000.

Thus the book is now available in fourteen different languages!

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A lost counterexample and a problem on illuminated polytopes, with Ronald Wotzlaw, Preprint, August 2009. (arXiv:0908.1698)
Zonotopes with large 2D cuts, with Thilo Rörig and Nikolaus Witte, Preprint, October 2007; Discrete & Comput. Geometry, online first publication June 2008. (arXiv:0710.3116)
Construction and analysis of projected deformed products, with Raman Sanyal, Preprint, October 2007; Discrete Comput. Geometry, online first publication March 2009. (arXiv:0710.2162)
On Kalai's conjectures concerning centrally symmetric polytopes, with Raman Sanyal and Axel Werner, Discrete Comput. Geometry 41 (2009), 183-198. (arXiv:0708.3661)
Euler's polyhedron formula as a starting point for modern polytope theory, with Christian Blatter, Elemente der Math. 62 (2007), 184-192.
AMS Steele Prize 2005: Branko Grünbaum's Convex Polytopes,
Second edition edited by Volker Kaibel, Victor Klee and Günter M. Ziegler,
Graduate Texts in Mathematics 221, Springer-Verlag New York 2003.
Projected products of polygons,
Electronic Research Announcements AMS, 10 (2004), 122-134 (arXiv:0407042)
Convex Polytopes: Extremal constructions and f-vector shapes,
Park City Mathematical Institute (PCMI 2004) Lecture Notes. With an Appendix by Thilo Schröder and Nikolaus Witte (73 pages). (arXiv:0411400)
Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds,
with Alexander Schwartz, Experimental Mathematics 13 (2004), 385-413 (arXiv:0310269);
On the Monotone Upper Bound Problem,
with Julian Pfeifle, Experimental Mathematics 13 (2004), 1-11 (arXiv:0308186)
The E_t-construction for lattices, spheres and polytopes,
with Andreas Paffenholz, Discrete & Computational Geometry (Billera Festschrift); 32 (2004), 601-624 (arXiv:0304492)
Many triangulated 3-spheres,
with Julian Pfeifle; Math. Annalen 330 (2004), 829-837 (arXiv:0212004)
Lectures on Polytopes
Graduate Texts in Mathematics 152, Springer-Verlag New York 1995, 370 pages; Revised sixth printing 2006.
Updates, Corrections, and More available.
(Here are the updates for the first printing; they are obsolete with the second one.)
Japanese translation by Masahiro Hachimori and Yoshio Okamoto

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Discrete Geometry

Polyhedral surfaces in wedge products, with Thilo Rörig, Preprint, August 2009. (arXiv:0908.3159)
On locally constructible spheres and balls
with Bruno Benedetti, preprint, revised version May 2009, 31 pages. (arXiv:0902.0436)
Non-rational configurations, polytopes, and surfaces, Mathematical Intelligencer, (3) 30 (2008), 36-42.
Polyhedral surfaces of high genus,
in "Discrete Differential Geometry" (Alexander I. Bobenko, John M. Sullivan, Peter Schröder, eds.), Oberwolfach Seminars, Birkhäuser Basel, 2008 (arXiv:0412093)
MAA Chauvenet Prize 2006: Kissing numbers, sphere packings, and some unexpected proofs,
with Florian Pfender, Notices of the AMS, September 2004, 873-883.
Bier spheres and posets,
with Anders Björner, Andreas Paffenholz, and Jonas Sjöstrand, Discrete & Computational Geometry 34 (2005), 71-86 (arXiv:0311356)
Convex hulls, oracles, and homology,
with Michael Joswig, J. Symbolic Computation (special issue for ICMS 2002) 38 (2004), 1247-1259; (arXiv:0301100)

Combinatorics and Topological Methods

Optimal bounds for a colorful Tverberg-Vrecica type problem,
(with Pavle V. M. Blagojevic and Benjamin Matschke), Preprint, November 2009, 11 pages. (arXiv:math.AT/0911.2692)
Optimal bounds for the colored Tverberg problem,
(with Pavle V. M. Blagojevic and Benjamin Matschke), Preprint, October 2009, 10 pages. (arXiv:math.AT/0910.4987)
Tetrahedra on deformed spheres and integral group cohomology,
(with Pavle V. M. Blagojevic), Electronic J. Combinatorics, Björner Festschrift, Volume 16(2), 2009, R16. (arXiv:math.AT/0808.3841)
Combinatorial Stokes formulas via minimal resolutions,
with Bernhard Hanke, Raman Sanyal, and Carsten Schultz, J. Combinatorial Theory, Ser. A, doi:10.1016/j.jcta.2008.06.009 published online August 15, 2008 (arXiv:0710.0050)
The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes,
with Pavle V. M. Blagojevic, Preprint, TU Berlin, revised 2nd version, July 2008, 42 pages (arXiv:0704.1943)
On generalized Kneser hypergraph colorings,
with Carsten Lange, J. Combinatorial Theory, Ser. A, 114 (2007), 159-166 (arXiv:0504607)
The Topological Tverberg Theorem and winding numbers,
with Torsten Schöneborn, J. Combinatorial Theory, Ser. A, 112 (2005), 82-104. (arXiv:0409081)
Jiri Matousek's Using the Borsuk-Ulam Theorem. Lectures on Topological Methods in Combinatorics and Geometry,
(Written in collaboration with Anders Björner and Günter M. Ziegler)
Universitext, Springer-Verlag Heidelberg, 2003.
Singular 0/1-matrices, and the hyperplanes spanned by random 0/1-vectors,
with Thomas Voigt Combinatorics, Probability & Computing, 15 (2006), 463-471 (arXiv:0308050)
Counting lattice triangulations,
with Volker Kaibel; in "Surveys in Combinatorics 2003" (C. D. Wensley, ed.), Proc. 19th British Combinatorial conference, June 29 - July 4, in Bangor/Wales, London Math. Society Lecture Notes Series, Vol. 307, pp. 277-307, Cambridge University Press 2003 --- (arXiv:0211268);
Topological lower bounds for the chromatic number: A hierarchy,
with Jiri Matousek; Jahresbericht der DMV 106 (2004), 71-90. (arXiv:0208072)

Optimization

The simplex algorithm in dimension three
with Volker Kaibel, Rafael Mechtel, and Micha Sharir; SIAM J. on Computing 34 (2005), 475--497 (arXiv:0309351)
"Random monotone paths on polyhedra" (PDF slides by Rafael Mechtel, Volker Kaibel, and myself)
for my Lecture at the 2004 Symposium on Computational Geometry (SoCG), Brooklyn, NY, June 2004.

AProPo - Some Algorithmic PROblems in POlytope Theory
an online survey maintained by Volker Kaibel and Marc E. Pfetsch
POLYMAKE: A software package for polytopes
by Michael Joswig and Ewgenij Gawrilow
eg-models: Electronic Geometry Models
by Michael Joswig and Konrad Polthier
www.mathematik.de -
Thesenpapier "Lebendige Mathematik!"