Günter Matthias Ziegler - Author Profile

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Ziegler, Günter Matthias

Author ID:	ziegler.gunter-m
Published as:	Ziegler, Günter M.; Ziegler, G. M.; Ziegler, Günter; Ziegler, Günter Matthias; Ziegler, G. more...less
Homepage:	http://www.mi.fu-berlin.de/math/groups/discgeom/ziegler
External Links:	MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef

Documents Indexed:	238 Publications since 1986, including 23 Books and 4 Additional arXiv Preprints
	15 Contributions as Editor · 9 Further Contributions
Reviewing Activity:	78 Reviews
Biographic References:	1 Publication
Co-Authors:	130 Co-Authors with 164 Joint Publications
	4,151 Co-Co-Authors

all top 5

Co-Authors

89	single-authored
27	Blagojević, Pavle V. M.
16	Aigner, Martin
12	Björner, Anders
6	Joswig, Michael
6	Kaibel, Volker
5	Frick, Florian
5	Henk, Martin
5	Lück, Wolfgang
5	Richter-Gebert, Jürgen
4	Bobenko, Alexander Ivanovich
4	Matoušek, Jiří
4	Matschke, Benjamin
4	Sturmfels, Bernd
3	Behrends, Ehrhard
3	Ceballos, Cesar
3	Dais, Dimitrios I.
3	Feichtner, Eva Maria
3	Gritzmann, Peter
3	Haase, Albert
3	Haase, Christian Alexander
3	Hofmann, Karl Heinrich
3	Kalai, Gil
3	Kenyon, Richard W.
3	Loos, Andreas
3	Rörig, Thilo
3	Santos, Francisco
3	Sanyal, Raman
3	Schwartz, Alexander
3	Sinn, Rainer
3	Sullivan, John Matthew
3	Weismantel, Robert
2	Brinkmann, Philip
2	Cohen, Frederick Ronald
2	Dimitrijević Blagojević, Aleksandra S.
2	Labbé, Jean-Philippe
2	Lackmann, Malte
2	Lange, Carsten
2	Las Vergnas, Michel
2	Loiskekoski, Lauri
2	Paffenholz, Andreas
2	Palić, Nevena
2	Pfeifle, Julian
2	Pfetsch, Marc E.
2	Rote, Günter
2	Schleicher, Dierk
2	Schöneborn, Torsten
2	Schröder, Peter
2	Sharir, Micha
2	Sjöberg, Hannah
2	Welsh, Dominic J. A.
2	Witte, Nikolaus
2	Živaljević, Rade T.
1	Adiprasito, Karim Alexander
1	Amenta, Nina
1	Bárány, Imre
1	Begehr, Heinrich
1	Benedetti, Bruno
1	Beutelspacher, Albrecht
1	Billey, Sara C.
1	Blatter, Christian
1	Bourgain, Jean
1	Brylawski, Thomas H.
1	Cederbaum, Carla
1	Crabb, Michael C.
1	Doolittle, Joseph
1	Edelman, Paul H.
1	Eppstein, David Arthur
1	Felsner, Stefan
1	Firla, Robert T.
1	Fomin, Sergey Vladimirovich
1	Freiberger, Marianne
1	Freij-Hollanti, Ragnar
1	Fukuda, Komei
1	Galashin, Pavel
1	Gärtner, Bernd
1	Gonska, Bernd
1	Grötschel, Martin
1	Grünbaum, Branko
1	Hachimori, Masahiro
1	Haller-Dintelmann, Robert
1	Hanke, Bernhard
1	Höppner, Andrea
1	Höppner, Wolfgang
1	Hultman, Axel
1	Kaiser, Hans-Christoph
1	Klee, Victor LaRue
1	Klein, Rupert
1	Kneser, Martin
1	Knobloch, Eberhard
1	Koch, Helmut
1	Kortenkamp, Ulrich H.
1	Kuperberg, Gregory John
1	Lagarias, Jeffrey C.
1	Lamport, Leslie
1	León, Emerson
1	Linusson, Svante
1	Liu, Jiyong
1	Lovász, László
1	Lutz, Frank Hagen
1	Massey, David Bradley
...and 54 more Co-Authors

all top 5

Serials

46	Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
19	Discrete & Computational Geometry
7	Electronic Geometry Model
6	Journal of Combinatorial Theory. Series A
6	Notices of the American Mathematical Society
5	Israel Journal of Mathematics
5	The Electronic Journal of Combinatorics
5	Oberwolfach Reports
4	Advances in Mathematics
4	Mathematika
4	Transactions of the American Mathematical Society
4	Combinatorica
3	Discrete Mathematics
3	Topology and its Applications
3	European Journal of Combinatorics
3	Experimental Mathematics
3	Documenta Mathematica
3	Advances in Geometry
2	American Mathematical Monthly
2	Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2	Mathematische Semesterberichte
2	Bulletin of the London Mathematical Society
2	Geometriae Dedicata
2	Inventiones Mathematicae
2	Journal of Combinatorial Theory. Series B
2	Mathematische Annalen
2	Mathematische Zeitschrift
2	European Mathematical Society Newsletter
2	Journal of the European Mathematical Society (JEMS)
2	Encyclopedia of Mathematics and Its Applications
2	Graduate Texts in Mathematics
2	Universitext
1	Mathematics of Computation
1	The Mathematical Intelligencer
1	Beiträge zur Algebra und Geometrie
1	Acta Mathematica
1	Algebra Universalis
1	Archiv der Mathematik
1	Canadian Journal of Mathematics
1	Functional Analysis and its Applications
1	Journal für die Reine und Angewandte Mathematik
1	Mathematics of Operations Research
1	Proceedings of the American Mathematical Society
1	Results in Mathematics
1	SIAM Journal on Computing
1	Tôhoku Mathematical Journal. Second Series
1	Topology
1	Transactions of the Moscow Mathematical Society
1	Journal of Symbolic Computation
1	Journal of the American Mathematical Society
1	SIAM Journal on Discrete Mathematics
1	IMRN. International Mathematics Research Notices
1	Elemente der Mathematik
1	Bulletin of the American Mathematical Society. New Series
1	Journal of Algebraic Combinatorics
1	Combinatorics, Probability and Computing
1	Selecta Mathematica. New Series
1	Electronic Research Announcements of the American Mathematical Society
1	Séminaire Lotharingien de Combinatoire
1	Butlletí de la Societat Catalana de Matemàtiques
1	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1	DMV Seminar
1	Lecture Notes in Mathematics
1	Oberwolfach Seminars
1	Journal of Fixed Point Theory and Applications
1	Journal of Topology
1	Forum of Mathematics, Sigma
1	Contemporary Mathematicians

all top 5

Fields

157	Convex and discrete geometry (52-XX)
80	Combinatorics (05-XX)
75	General and overarching topics; collections (00-XX)
34	Geometry (51-XX)
31	Algebraic topology (55-XX)
28	History and biography (01-XX)
21	Number theory (11-XX)
20	Manifolds and cell complexes (57-XX)
18	Mathematics education (97-XX)
17	Operations research, mathematical programming (90-XX)
14	Real functions (26-XX)
13	Algebraic geometry (14-XX)
13	Computer science (68-XX)
9	Order, lattices, ordered algebraic structures (06-XX)
6	Differential geometry (53-XX)
3	Commutative algebra (13-XX)
3	Linear and multilinear algebra; matrix theory (15-XX)
3	Group theory and generalizations (20-XX)
3	Several complex variables and analytic spaces (32-XX)
3	Numerical analysis (65-XX)
2	Information and communication theory, circuits (94-XX)
1	Nonassociative rings and algebras (17-XX)
1	Measure and integration (28-XX)
1	Partial differential equations (35-XX)
1	Dynamical systems and ergodic theory (37-XX)
1	General topology (54-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Probability theory and stochastic processes (60-XX)
1	Mechanics of particles and systems (70-XX)
1	Fluid mechanics (76-XX)
1	Geophysics (86-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

173 Publications have been cited 4,249 times in 3,232 Documents	Cited by ▼	Year ▼
Lectures on polytopes. Zbl 0823.52002 Ziegler, Günter M.	1,322	1995
Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1024.52001 Grünbaum, Branko	329	2003
Oriented matroids. 2nd ed. Zbl 0944.52006 Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter	299	1999
Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler. Zbl 1016.05001 Matoušek, Jiří	240	2003
Oriented matroids. Zbl 0773.52001 Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter M.	205	1993
Proofs from THE BOOK. 4th revised and enlarged ed. Zbl 1185.00001 Aigner, Martin; Ziegler, Günter M.	85	2010
Bounds for lattice polytopes containing a fixed number of interior points in a sublattice. Zbl 0752.52010 Lagarias, Jeffrey C.; Ziegler, Günter M.	80	1991
Generalized Kneser coloring theorems with combinatorial proofs. Zbl 1029.05058 Ziegler, Günter M.	62	2002
Hyperplane arrangements with a lattice of regions. Zbl 0698.51010 Björner, Anders; Edelman, Paul H.; Ziegler, Günter M.	62	1990
Multiarrangements of hyperplanes and their freeness. Zbl 0678.51010 Ziegler, Günter M.	59	1989
Introduction to greedoids. Zbl 0772.05026 Björner, Anders; Ziegler, Günter M.	58	1992
Many non-equivalent realizations of the associahedron. Zbl 1389.52013 Ceballos, Cesar; Santos, Francisco; Ziegler, Günter M.	57	2015
Proofs from THE BOOK. 3rd ed. Zbl 1098.00001 Aigner, Martin; Ziegler, Günter M.	56	2004
Higher Bruhat orders and cyclic hyperplane arrangements. Zbl 0782.06003 Ziegler, Günter M.	53	1993
Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler. 2nd corrected printing. Zbl 1234.05002 Matoušek, Jiří	53	2008
Proofs from THE BOOK. Including illustrations by Karl H. Hofmann. Revised and enlarged 6th edition. Zbl 1392.00001 Aigner, Martin; Ziegler, Günter M.	50	2018
Shelling polyhedral 3-balls and 4-polytopes. Zbl 0898.52006 Ziegler, G. M.	49	1998
Homotopy types of subspace arrangements via diagrams of spaces. Zbl 0792.55002 Ziegler, Günter M.; Živaljević, Rade T.	49	1993
Proofs from THE BOOK. Zbl 0905.00001 Aigner, Martin; Ziegler, Günter M.	48	1998
Lectures on 0/1-polytopes. Zbl 0966.52012 Ziegler, Günter M.	46	2000
Homotopy colimits – comparison lemmas for combinatorial applications. Zbl 0995.55004 Welker, Volkmar; Ziegler, Günter M.; Živaljević, Rade T.	44	1999
Combinatorial stratification of complex arrangements. Zbl 0754.52003 Björner, Anders; Ziegler, Günter M.	43	1992
Optimal bounds for the colored Tverberg problem. Zbl 1327.52009 Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M.	40	2015
Proofs from THE BOOK. 2nd ed. Zbl 0978.00002 Aigner, Martin; Ziegler, Günter M.	40	2001
Proofs from THE BOOK. With illustrations by Karl H. Hofmann. 5th revised and enlarged ed. Zbl 1294.01001 Aigner, Martin; Ziegler, Günter M.	39	2014
Topological lower bounds for the chromatic number: a hierarchy. Zbl 1063.05047 Matoušek, Jiří; Ziegler, Günter M.	39	2004
Broken circuit complexes: Factorizations and generalizations. Zbl 0753.05019 Björner, Anders; Ziegler, Günter M.	36	1991
Combinatorial construction of logarithmic differential forms. Zbl 0725.05032 Ziegler, Günter M.	36	1989
Tverberg plus constraints. Zbl 1305.52021 Blagojević, Pavle V. M.; Frick, Florian; Ziegler, Günter M.	32	2014
Convex equipartitions via equivariant obstruction theory. Zbl 1305.52005 Blagojević, Pavle V. M.; Ziegler, Günter M.	32	2014
Basic properties of convex polytopes. Zbl 0911.52007 Henk, Martin; Richter-Gebert, Jürgen; Ziegler, Günter M.	32	1997
Extension spaces of oriented matroids. Zbl 0783.52009 Sturmfels, Bernd; Ziegler, Günter M.	31	1993
Neighborly cubical polytopes. Zbl 1066.52012 Joswig, M.; Ziegler, G. M.	30	2000
Shellability of chessboard complexes. Zbl 0828.57017 Ziegler, Günter M.	29	1994
Beyond the Borsuk-Ulam theorem: the topological Tverberg story. Zbl 1470.52007 Blagojević, Pavle V. M.; Ziegler, Günter M.	28	2017
Matroid representations and free arrangements. Zbl 0727.05019 Ziegler, Günter M.	28	1990
Realization spaces of 4-polytopes are universal. Zbl 0853.52012 Richter-Gebert, Jürgen; Ziegler, Günter M.	27	1995
Kissing numbers, sphere packings, and some unexpected proofs. Zbl 1168.52305 Pfender, Florian; Ziegler, Günter M.	26	2004
Optimal bounds for a colorful Tverberg-Vrećica type problem. Zbl 1213.52009 Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M.	24	2011
Gröbner bases of lattices, corner polyhedra, and integer programming. Zbl 0863.90115 Sturmfels, Bernd; Weismantel, Robert; Ziegler, Günter M.	24	1995
Discrete differential geometry. Zbl 1132.53004	24	2008
Deformed products and maximal shadows of polytopes. Zbl 0916.90205 Amenta, Nina; Ziegler, Günter M.	23	1999
Tverberg’s theorem at 50: extensions and counterexamples. Zbl 1358.52022 Bárány, Imre; Blagojević, Pavle V. M.; Ziegler, Günter M.	22	2016
Oriented matroids. Zbl 0902.05015 Richter-Gebert, Jürgen; Ziegler, Günter M.	22	1997
Decompositions of simplicial balls and spheres with knots consisting of few edges. Zbl 0965.57022 Hachimori, Masahiro; Ziegler, Günter M.	21	2000
Projecting lattice polytopes without interior lattice points. Zbl 1243.52012 Nill, Benjamin; Ziegler, Günter M.	21	2011
On locally constructible spheres and balls. Zbl 1237.57025 Benedetti, Bruno; Ziegler, Günter M.	20	2011
On the maximal width of empty lattice simplices. Zbl 0966.52013 Haase, Christian; Ziegler, Günter M.	20	2000
Barycenters of polytope skeleta and counterexamples to the topological Tverberg conjecture, via constraints. Zbl 1428.52008 Blagojević, Pavle V. M.; Frick, Florian; Ziegler, Günter M.	18	2019
Topology of the Grünbaum-Hadwiger-Ramos hyperplane mass partition problem. Zbl 1396.52011 Blagojević, Pavle V. M.; Frick, Florian; Haase, Albert; Ziegler, Günter M.	18	2018
Zonotopal tilings and the Bohne-Dress theorem. Zbl 0842.05018 Richter-Gebert, Jürgen; Ziegler, Günter M.	18	1994
Fat 4-polytopes and fatter 3-spheres. Zbl 1045.52006 Eppstein, David; Kuperberg, Greg; Ziegler, Günter M.	17	2003
Coloring Hamming graphs, optimal binary codes, and the 0/1-Borsuk problem in low dimensions. Zbl 1004.52010 Ziegler, Günter M.	17	2001
The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes. Zbl 1225.55002 Blagojević, Pavle V. M.; Ziegler, Günter M.	16	2011
Construction and analysis of projected deformed products. Zbl 1192.52019 Sanyal, Raman; Ziegler, Günter M.	16	2010
\(3N\) colored points in a plane. Zbl 1222.51003 Ziegler, Günter M.	15	2011
Coxeter-associahedra. Zbl 0822.52007 Reiner, Victor; Ziegler, Günter M.	15	1994
On Kalai’s conjectures concerning centrally symmetric polytopes. Zbl 1168.52013 Sanyal, Raman; Werner, Axel; Ziegler, Günter M.	15	2009
Projections of polytopes and the generalized Baues conjecture. Zbl 0865.52008 Rambau, J.; Ziegler, G. M.	14	1996
The integral cohomology algebras of ordered configuration spaces of spheres. Zbl 0992.55014 Feichtner, Eva Maria; Ziegler, Günter M.	14	2000
Combinatorial models for the finite-dimensional Grassmannians. Zbl 0783.52007 Mnëv, Nicolai E.; Ziegler, Günter M.	14	1993
The \(E_t\)-construction for lattices, spheres and polytopes. Zbl 1109.52009 Paffenholz, Andreas; Ziegler, Günter M.	14	2004
Counting lattice triangulations. Zbl 1031.05011 Kaibel, Volker; Ziegler, Günter M.	14	2003
Bier spheres and posets. Zbl 1079.52006 Björner, Anders; Paffenholz, Andreas; Sjöstrand, Jonas; Ziegler, Günter M.	14	2005
Face numbers of 4-polytopes and 3-spheres. Zbl 1006.52006 Ziegler, Günter M.	14	2002
Projected products of polygons. Zbl 1068.52014 Ziegler, Günter M.	13	2004
0/1-integer programming: optimization and augmentation are equivalent. Zbl 1512.90140 Schulz, Andreas S.; Weismantel, Robert; Ziegler, Günter M.	13	1995
Many triangulated 3-spheres. Zbl 1062.52011 Pfeifle, Julian; Ziegler, Günter M.	13	2004
On the existence of crepant resolutions of Gorenstein abelian quotient singularities in dimension \(\geq 4\). Zbl 1139.14015 Dais, Dimitrios I.; Henk, Martin; Ziegler, Günter M.	13	2006
Many projectively unique polytopes. Zbl 1339.52011 Adiprasito, Karim A.; Ziegler, Günter M.	12	2015
On the poset of partitions of an integer. Zbl 0594.06001 Ziegler, Günter M.	12	1986
Inscribable stacked polytopes. Zbl 1288.52007 Gonska, Bernd; Ziegler, Günter M.	11	2013
Matroid shellability, \(\beta\)-systems, and affine hyperplane arrangements. Zbl 0782.05022 Ziegler, Günter M.	11	1992
Maximizing Möbius functions on subsets of Boolean algebras. Zbl 0809.05004 Sagan, Bruce E.; Yeh, Yeong-Nan; Ziegler, Günter M.	11	1994
Convex polytopes: extremal constructions and \(f\)-vector shapes. Zbl 1134.52018 Ziegler, Günter M.	11	2007
Hyperplane mass partitions via relative equivariant obstruction theory. Zbl 1361.55007 Blagojević, Pavle V. M.; Frick, Florian; Haase, Albert; Ziegler, Günter M.	10	2016
Equivariant topology of configuration spaces. Zbl 1329.55019 Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M.	10	2015
Hilbert bases, unimodular triangulations, and binary covers of rational polyhedral cones. Zbl 0917.90251 Firla, R. T.; Ziegler, G. M.	10	1999
Extremal properties of \(0/1\)-polytopes. Zbl 0881.52005 Kortenkamp, U. H.; Richter-Gebert, J.; Sarangarajan, A.; Ziegler, G. M.	10	1997
Randomized simplex algorithms on Klee-Minty cubes. Zbl 0947.90066 Gärtner, Bernd; Henk, Martin; Ziegler, Günter M.	10	1998
All toric local complete intersection singularities admit projective crepant resolutions. Zbl 1050.14044 Dais, Dimitrios I.; Haase, Christian; Ziegler, Günter M.	10	2001
Nonrational configurations, polytopes, and surfaces. Zbl 1210.00047 Ziegler, Günter M.	10	2008
Unimodular triangulations of dilated 3-polytopes. Zbl 1303.52007 Santos, F.; Ziegler, G. M.	9	2013
On the difference between real and complex arrangements. Zbl 0789.57018 Ziegler, Günter M.	9	1993
Zonotopes associated with higher Bruhat orders. Zbl 0996.05113 Felsner, Stefan; Ziegler, Günter M.	9	2001
On orbit configuration spaces of spheres. Zbl 0992.55017 Feichtner, Eva Maria; Ziegler, Günter M.	9	2002
All abelian quotient C. I. -singularities admit projective crepant resolutions in all dimensions. Zbl 0930.14006 Dais, Dimitrios I.; Henk, Martin; Ziegler, Günter M.	8	1998
On the height of the minimal Hilbert basis. Zbl 0779.52002 Liu, Jiyong; Trotter, Leslie E. jun.; Ziegler, Günter M.	8	1993
Polytopes - combinatorics and computation. DMV-seminar Oberwolfach, Germany, November 1997. Zbl 0944.00089	7	2000
“What is a complex matroid?”. Zbl 0782.52005 Ziegler, Günter M.	7	1993
On the monotone upper bound problem. Zbl 1068.52019 Pfeifle, Julian; Ziegler, Günter M.	7	2004
A census of flag-vectors of 4-polytopes. Zbl 0966.52008 Höppner, Andrea; Ziegler, Günter M.	7	2000
Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds. Zbl 1110.52015 Schwartz, Alexander; Ziegler, Günter M.	7	2004
The topological Tverberg theorem and winding numbers. Zbl 1081.05079 Schöneborn, Torsten; Ziegler, Günter M.	7	2005
Combinatorial Stokes formulas via minimal resolutions. Zbl 1200.05025 Hanke, Bernhard; Sanyal, Raman; Schultz, Carsten; Ziegler, Günter M.	7	2009
Convex equipartitions of colored point sets. Zbl 1407.52031 Blagojević, Pavle V. M.; Rote, Günter; Steinmeyer, Johanna K.; Ziegler, Günter M.	6	2019
Small \(f\)-vectors of 3-spheres and of 4-polytopes. Zbl 1395.52013 Brinkmann, Philip; Ziegler, Günter M.	6	2018
Shellability of complexes of trees. Zbl 0916.06004 Trappmann, Henryk; Ziegler, Günter M.	6	1998
A variant of the Buchberger algorithm for integer programming. Zbl 0872.90065 Urbaniak, Regina; Weismantel, Robert; Ziegler, Günter M.	6	1997
Posets with maximal Möbius function. Zbl 0726.05010 Ziegler, Günter M.	6	1991
On the dimensions of the realization spaces of polytopes. Zbl 1522.52029 Rastanawi, Laith; Sinn, Rainer; Ziegler, Günter M.	1	2021
Equivariant cohomology of configuration spaces mod 2. The state of the art. Zbl 1494.55001 Blagojević, Pavle V. M.; Cohen, Frederick R.; Crabb, Michael; Lück, Wolfgang; Ziegler, Günter M.	1	2021
Characterizing face and flag vector pairs for polytopes. Zbl 1466.52013 Sjöberg, Hannah; Ziegler, Günter M.	5	2020
Counting periodic trajectories of Finsler billiards. Zbl 1451.37035 Blagojević, Pavle V. M.; Harrison, Michael; Tabachnikov, Serge; Ziegler, Günter M.	2	2020
Additive structures on \(f\)-vector sets of polytopes. Zbl 1450.52007 Ziegler, Günter M.	2	2020
Area difference bounds for dissections of a square into an odd number of triangles. Zbl 1460.52016 Labbé, Jean-Philippe; Rote, Günter; Ziegler, Günter Matthias	1	2020
Barycenters of polytope skeleta and counterexamples to the topological Tverberg conjecture, via constraints. Zbl 1428.52008 Blagojević, Pavle V. M.; Frick, Florian; Ziegler, Günter M.	18	2019
Convex equipartitions of colored point sets. Zbl 1407.52031 Blagojević, Pavle V. M.; Rote, Günter; Steinmeyer, Johanna K.; Ziegler, Günter M.	6	2019
Some more amplituhedra are contractible. Zbl 1414.55003 Blagojević, Pavle V. M.; Galashin, Pavel; Palić, Nevena; Ziegler, Günter M.	3	2019
Cutting a part from many measures. Zbl 1426.52002 Blagojević, Pavle V. M.; Palić, Nevena; Soberón, Pablo; Ziegler, Günter M.	3	2019
Semi-algebraic sets of \(f\)-vectors. Zbl 1425.52010 Sjöberg, Hannah; Ziegler, Günter M.	2	2019
Tverberg-type theorems for matroids: a counterexample and a proof. Zbl 1438.52016 Blagojević, Pavle V. M.; Haase, Albert; Ziegler, Günter M.	1	2019
Proofs from THE BOOK. Including illustrations by Karl H. Hofmann. Revised and enlarged 6th edition. Zbl 1392.00001 Aigner, Martin; Ziegler, Günter M.	50	2018
Topology of the Grünbaum-Hadwiger-Ramos hyperplane mass partition problem. Zbl 1396.52011 Blagojević, Pavle V. M.; Frick, Florian; Haase, Albert; Ziegler, Günter M.	18	2018
Small \(f\)-vectors of 3-spheres and of 4-polytopes. Zbl 1395.52013 Brinkmann, Philip; Ziegler, Günter M.	6	2018
Spaces of convex \(n\)-partitions. Zbl 1444.52008 León, Emerson; Ziegler, Günter M.	3	2018
For example: on occasion of the fiftieth anniversary of Grünbaum’s Convex polytopes. Zbl 1395.52001 Ziegler, Günter M.	1	2018
2018 Leroy P. Steele Prizes. Zbl 1390.01053	1	2018
Beyond the Borsuk-Ulam theorem: the topological Tverberg story. Zbl 1470.52007 Blagojević, Pavle V. M.; Ziegler, Günter M.	28	2017
Polynomial partitioning for several sets of varieties. Zbl 1386.52016 Blagojević, Pavle V. M.; Dimitrijević Blagojević, Aleksandra S.; Ziegler, Günter M.	3	2017
A flag vector of a 3-sphere that is not the flag vector of a 4-polytope. Zbl 1365.52012 Brinkmann, Philip; Ziegler, Günter M.	3	2017
Using Brouwer’s fixed point theorem. Zbl 1382.91021 Björner, Anders; Matoušek, Jiří; Ziegler, Günter M.	2	2017
Simple polytopes without small separators. Zbl 1381.52018 Loiskekoski, Lauri; Ziegler, Günter M.	1	2017
Tverberg’s theorem at 50: extensions and counterexamples. Zbl 1358.52022 Bárány, Imre; Blagojević, Pavle V. M.; Ziegler, Günter M.	22	2016
Hyperplane mass partitions via relative equivariant obstruction theory. Zbl 1361.55007 Blagojević, Pavle V. M.; Frick, Florian; Haase, Albert; Ziegler, Günter M.	10	2016
On highly regular embeddings. Zbl 1445.55012 Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M.	3	2016
On complex highly regular embeddings and the extended Vassiliev conjecture. Zbl 1404.55017 Blagojević, Pavle V. M.; Cohen, Frederick R.; Lück, Wolfgang; Ziegler, Günter M.	3	2016
Six topics on inscribable polytopes. Zbl 1357.52016 Padrol, Arnau; Ziegler, Günter M.	3	2016
Many non-equivalent realizations of the associahedron. Zbl 1389.52013 Ceballos, Cesar; Santos, Francisco; Ziegler, Günter M.	57	2015
Optimal bounds for the colored Tverberg problem. Zbl 1327.52009 Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M.	40	2015
Many projectively unique polytopes. Zbl 1339.52011 Adiprasito, Karim A.; Ziegler, Günter M.	12	2015
Equivariant topology of configuration spaces. Zbl 1329.55019 Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M.	10	2015
Cannons at sparrows. Zbl 1329.00021 Ziegler, Günter M.	4	2015
On highly regular embeddings. Zbl 1351.57027 Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M.	3	2015
Proofs from THE BOOK. With illustrations by Karl H. Hofmann. 4th revised and expanded ed. (Das BUCH der Beweise. Mit Zeichnungen von Karl H. Hofmann.) Zbl 1297.00006 Aigner, Martin; Ziegler, Günter M.	1	2015
Proofs from THE BOOK. With illustrations by Karl H. Hofmann. 5th revised and enlarged ed. Zbl 1294.01001 Aigner, Martin; Ziegler, Günter M.	39	2014
Tverberg plus constraints. Zbl 1305.52021 Blagojević, Pavle V. M.; Frick, Florian; Ziegler, Günter M.	32	2014
Convex equipartitions via equivariant obstruction theory. Zbl 1305.52005 Blagojević, Pavle V. M.; Ziegler, Günter M.	32	2014
Optimal elliptic Sobolev regularity near three-dimensional multi-material Neumann vertices. Zbl 1315.35077 Haller-Dintelmann, R.; Höppner, W.; Kaiser, H.-c.; Rehberg, J.; Ziegler, G. M.	5	2014
Extremal edge polytopes. Zbl 1300.05145 Tran, Tuan; Ziegler, Günter M.	5	2014
Foldable triangulations of lattice polygons. Zbl 1315.52012 Joswig, Michael; Ziegler, Günter M.	2	2014
Do I count? Stories from mathematics. Translated from the German by Thomas von Foerster. Zbl 1285.00008 Ziegler, Günter M.	1	2014
Inscribable stacked polytopes. Zbl 1288.52007 Gonska, Bernd; Ziegler, Günter M.	11	2013
Unimodular triangulations of dilated 3-polytopes. Zbl 1303.52007 Santos, F.; Ziegler, G. M.	9	2013
Face numbers of centrally symmetric polytopes produced from Split graphs. Zbl 1270.52011 Freij, Ragnar; Henze, Matthias; Schmitt, Moritz W.; Ziegler, Günter M.	4	2013
Three mathematical competitions. (Drei mathematische Wettbewerbe.) Zbl 1323.00022 Ziegler, Günter M.	1	2013
Realizing the associahedron: mysteries and questions. Zbl 1268.52008 Ceballos, Cesar; Ziegler, Günter M.	4	2012
Who solved the Hirsch conjecture? Zbl 1270.90007 Ziegler, Günter M.	2	2012
Optimal bounds for a colorful Tverberg-Vrećica type problem. Zbl 1213.52009 Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M.	24	2011
Projecting lattice polytopes without interior lattice points. Zbl 1243.52012 Nill, Benjamin; Ziegler, Günter M.	21	2011
On locally constructible spheres and balls. Zbl 1237.57025 Benedetti, Bruno; Ziegler, Günter M.	20	2011
The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes. Zbl 1225.55002 Blagojević, Pavle V. M.; Ziegler, Günter M.	16	2011
\(3N\) colored points in a plane. Zbl 1222.51003 Ziegler, Günter M.	15	2011
Polyhedral surfaces in wedge products. Zbl 1217.51011 Rörig, Thilo; Ziegler, Günter M.	4	2011
A tight colored Tverberg theorem for maps to manifolds. Zbl 1232.55003 Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M.	3	2011
An invitation to mathematics. From competitions to research. With a preface by Günter M. Ziegler. Zbl 1216.00037	2	2011
Communicating mathematics to society at large. Zbl 1226.00014 Ziegler, Günter M.	1	2011
Mathematics education gives answers: to which questions? (Mathematikunterricht liefert Antworten: auf welche Fragen?) Zbl 1328.97012 Ziegler, Günter M.	1	2011
Three mathematics competitions. Zbl 1401.01006 Ziegler, Günter M.	1	2011
A lost counterexample and a problem on illuminated polytopes. Zbl 1222.52013 Wotzlaw, Ronald F.; Ziegler, Günter M.	1	2011
Proofs from THE BOOK. 4th revised and enlarged ed. Zbl 1185.00001 Aigner, Martin; Ziegler, Günter M.	85	2010
Construction and analysis of projected deformed products. Zbl 1192.52019 Sanyal, Raman; Ziegler, Günter M.	16	2010
Proofs from THE BOOK. 3rd expanded ed. (Das BUCH der Beweise.) Zbl 1177.00002 Aigner, Martin; Ziegler, Günter M.	3	2010
On Kalai’s conjectures concerning centrally symmetric polytopes. Zbl 1168.52013 Sanyal, Raman; Werner, Axel; Ziegler, Günter M.	15	2009
Combinatorial Stokes formulas via minimal resolutions. Zbl 1200.05025 Hanke, Bernhard; Sanyal, Raman; Schultz, Carsten; Ziegler, Günter M.	7	2009
Tetrahedra on deformed spheres and integral group cohomology. Zbl 1205.55005 Blagojević, Pavle V. M.; Ziegler, Günter M.	5	2009
Zonotopes with large 2D-cuts. Zbl 1191.52009 Rörig, Thilo; Witte, Nikolaus; Ziegler, Günter M.	1	2009
Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler. 2nd corrected printing. Zbl 1234.05002 Matoušek, Jiří	53	2008
Discrete differential geometry. Zbl 1132.53004	24	2008
Nonrational configurations, polytopes, and surfaces. Zbl 1210.00047 Ziegler, Günter M.	10	2008
Polyhedral surfaces of high genus. Zbl 1143.53305 Ziegler, Günter M.	4	2008
A small polyhedral \(\mathbb{Z}\)-acyclic 2-complex in \(\mathbb{R}^4\). Zbl 1185.52014 Lutz, Frank H.; Ziegler, Günter M.	1	2008
\(\pi\) and Co. Mathematical snapshots. Corrected reprint. (\(\pi\) und Co. Kaleidoskop der Mathematik.) Zbl 1169.00003	1	2008
Convex polytopes: extremal constructions and \(f\)-vector shapes. Zbl 1134.52018 Ziegler, Günter M.	11	2007
On generalized Kneser hypergraph colorings. Zbl 1111.05037 Lange, Carsten E. M. C.; Ziegler, Günter M.	6	2007
On the existence of crepant resolutions of Gorenstein abelian quotient singularities in dimension \(\geq 4\). Zbl 1139.14015 Dais, Dimitrios I.; Henk, Martin; Ziegler, Günter M.	13	2006
Singular 0/1-matrices, and the hyperplanes spanned by random 0/1-vectors. Zbl 1165.15018 Voigt, Thomas; Ziegler, Günter M.	3	2006
Proofs from THE BOOK. Transl. from the English by Nicolas Puech. 2nd ed. (Raisonnements divins. Quelques démonstrations mathématiques particulièrement élégantes.) Zbl 1140.00001 Aigner, Martin; Ziegler, Günter M.	3	2006
Report 12/2006: Discrete Differential Geometry (March 5th – March 11th, 2006). Zbl 1109.52300	3	2006
Bier spheres and posets. Zbl 1079.52006 Björner, Anders; Paffenholz, Andreas; Sjöstrand, Jonas; Ziegler, Günter M.	14	2005
The topological Tverberg theorem and winding numbers. Zbl 1081.05079 Schöneborn, Torsten; Ziegler, Günter M.	7	2005
The simplex algorithm in dimension three. Zbl 1121.65327 Kaibel, Volker; Mechtel, Rafael; Sharir, Micha; Ziegler, Günter M.	5	2005
Weather and climate, equilibria and catastrophes. Information from the MATHEON Lounge. (Wetter und Klima, Gleichgewichte und Katastrophen. Notizen aus der MATHEON-Lounge.) Zbl 1285.97008 Ziegler, Günter M.; Klein, Rupert	1	2005
Proofs from THE BOOK. 3rd ed. Zbl 1098.00001 Aigner, Martin; Ziegler, Günter M.	56	2004
Topological lower bounds for the chromatic number: a hierarchy. Zbl 1063.05047 Matoušek, Jiří; Ziegler, Günter M.	39	2004
Kissing numbers, sphere packings, and some unexpected proofs. Zbl 1168.52305 Pfender, Florian; Ziegler, Günter M.	26	2004
The \(E_t\)-construction for lattices, spheres and polytopes. Zbl 1109.52009 Paffenholz, Andreas; Ziegler, Günter M.	14	2004
Projected products of polygons. Zbl 1068.52014 Ziegler, Günter M.	13	2004
Many triangulated 3-spheres. Zbl 1062.52011 Pfeifle, Julian; Ziegler, Günter M.	13	2004
On the monotone upper bound problem. Zbl 1068.52019 Pfeifle, Julian; Ziegler, Günter M.	7	2004
Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds. Zbl 1110.52015 Schwartz, Alexander; Ziegler, Günter M.	7	2004
Convex hulls, oracles, and homology. Zbl 1121.52030 Joswig, Michael; Ziegler, Günter M.	6	2004
Proofs from THE BOOK. Transl. from the English. 2nd ed. (Das BUCH der Beweise.) Zbl 1038.00001 Aigner, Martin; Ziegler, Günter M.	4	2004
The great prime number record races. Zbl 1168.11328 Ziegler, Günter M.	4	2004
Typical and extremal linear programs. Zbl 1152.90531 Ziegler, Günter M.	3	2004
Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1024.52001 Grünbaum, Branko	329	2003
Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler. Zbl 1016.05001 Matoušek, Jiří	240	2003
Fat 4-polytopes and fatter 3-spheres. Zbl 1045.52006 Eppstein, David; Kuperberg, Greg; Ziegler, Günter M.	17	2003
Counting lattice triangulations. Zbl 1031.05011 Kaibel, Volker; Ziegler, Günter M.	14	2003
Generalized Kneser coloring theorems with combinatorial proofs. Zbl 1029.05058 Ziegler, Günter M.	62	2002
...and 73 more Documents

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Cited by 3,722 Authors

69	Ziegler, Günter Matthias
33	Santos, Francisco
31	Abe, Takuro
29	Živaljević, Rade T.
27	Pilaud, Vincent
26	Blagojević, Pavle V. M.
23	Nevo, Eran
23	Padrol, Arnau
22	Adiprasito, Karim Alexander
22	Joswig, Michael
21	Knauer, Kolja B.
20	De Loera, Jesús A.
19	Sturmfels, Bernd
18	Ehrenborg, Richard
18	Terao, Hiroaki
17	Tsuchiya, Akiyoshi
16	Delucchi, Emanuele
16	Frick, Florian
16	Reiner, Victor
16	Soberón, Pablo
15	Averkov, Gennadiy
15	Felsner, Stefan
15	Sanyal, Raman
15	Welker, Volkmar
14	Ardila, Federico
14	Ramírez Alfonsín, Jorge Luis
13	Dimca, Alexandru
13	Fiorini, Samuel
13	Henk, Martin
13	Hibi, Takayuki
13	Pineda-Villavicencio, Guillermo
13	Readdy, Margaret A.
12	Benedetti, Bruno
12	Björner, Anders
12	Bokowski, Jürgen G.
12	Chepoi, Victor D.
12	Jojić, Duško
12	Levit, Vadim E.
12	Meunier, Frédéric
12	Nill, Benjamin
12	Novik, Isabella
12	Onn, Shmuel
12	Panina, Gaiane Yu.
11	Athanasiadis, Christos A.
11	Beck, Matthias
11	Denham, Graham
11	Deza, Antoine
11	Fukuda, Komei
11	Hochstättler, Winfried
11	Röhrle, Gerhard
11	Weismantel, Robert
10	Alishahi, Meysam
10	Forge, David
10	Haase, Christian Alexander
10	Miltzow, Tillmann
10	Pfeifle, Julian
10	Pournin, Lionel
10	Reading, Nathan
10	Tiwary, Hans Raj
10	Ugon, Julien
10	Vrećica, Siniša T.
10	Yoshinaga, Masahiko
9	Cardinal, Jean
9	Ceballos, Cesar
9	Gioan, Emeric
9	Holmsen, Andreas F.
9	Klivans, Caroline Jane
9	Labbé, Jean-Philippe
9	Mandrescu, Eugen
9	Pak, Igor
9	Vallentin, Frank
8	Billera, Louis J.
8	Braun, Benjamin
8	Dipasquale, Michael R.
8	Dobbins, Michael Gene
8	Doignon, Jean-Paul
8	Galashin, Pavel
8	Gordon, Gary
8	Hachimori, Masahiro
8	Hoşten, Serkan
8	Juhnke-Kubitzke, Martina
8	Kabluchko, Zakhar A.
8	Karasev, Roman N.
8	Lee, Jon
8	Liu, Fu
8	McConville, Thomas
8	Pach, János
8	Paffenholz, Andreas
8	Römer, Tim
8	Rote, Günter
8	Sarkar, Soumen
8	Schenck, Hal
8	Scheucher, Manfred
8	Schürmann, Achill
8	Sottile, Frank
8	Strausz, Ricardo
8	Tardos, Gábor
8	Thomas, Rekha R.
8	Wagner, Uli
8	Williams, Lauren K.
...and 3,622 more Authors

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Cited in 495 Serials

224	Discrete & Computational Geometry
150	European Journal of Combinatorics
138	Journal of Combinatorial Theory. Series A
101	Discrete Mathematics
99	Advances in Mathematics
72	Discrete Applied Mathematics
60	Journal of Algebraic Combinatorics
59	Advances in Applied Mathematics
51	Transactions of the American Mathematical Society
50	The Electronic Journal of Combinatorics
49	SIAM Journal on Discrete Mathematics
45	Proceedings of the American Mathematical Society
41	Mathematical Programming. Series A. Series B
40	Journal of Algebra
39	Linear Algebra and its Applications
35	Israel Journal of Mathematics
35	Topology and its Applications
34	Computational Geometry
31	Annals of Combinatorics
28	Journal of Combinatorial Theory. Series B
25	Combinatorica
24	Séminaire Lotharingien de Combinatoire
23	Journal of Pure and Applied Algebra
23	Mathematika
22	Theoretical Computer Science
20	Mathematische Zeitschrift
18	Beiträge zur Algebra und Geometrie
18	Journal of Symbolic Computation
18	Algebraic & Geometric Topology
16	Journal of Mathematical Psychology
16	Mathematische Annalen
16	Algorithmica
16	Advances in Geometry
16	Proceedings of the Steklov Institute of Mathematics
15	The Mathematical Intelligencer
14	American Mathematical Monthly
14	Journal of Graph Theory
14	Journal of Mathematical Sciences (New York)
14	SIAM Journal on Applied Algebra and Geometry
13	Geometriae Dedicata
13	Order
13	Graphs and Combinatorics
13	SIAM Journal on Optimization
13	Selecta Mathematica. New Series
13	Journal of the European Mathematical Society (JEMS)
12	Communications in Algebra
12	Mathematics of Computation
12	Bulletin of the London Mathematical Society
12	Journal of the London Mathematical Society. Second Series
12	Bulletin of the American Mathematical Society. New Series
12	Experimental Mathematics
12	Journal of High Energy Physics
12	Discrete Optimization
11	SIAM Journal on Computing
11	Algebraic Combinatorics
10	Journal of the American Mathematical Society
10	Forum of Mathematics, Sigma
10	Combinatorial Theory
9	Communications in Mathematical Physics
9	International Journal of Approximate Reasoning
9	European Journal of Operational Research
9	Geometry & Topology
8	Journal of Mathematical Analysis and Applications
8	Journal of Mathematical Physics
8	Rocky Mountain Journal of Mathematics
8	Annales de l’Institut Fourier
8	Automatica
8	Manuscripta Mathematica
8	Memoirs of the American Mathematical Society
8	Operations Research Letters
8	Acta Mathematica Hungarica
8	International Journal of Mathematics
8	Random Structures & Algorithms
8	International Journal of Algebra and Computation
8	Optimization Letters
7	Mathematische Semesterberichte
7	Russian Mathematical Surveys
7	Mathematics Magazine
7	Journal of Geometry
7	Journal of Optimization Theory and Applications
7	Results in Mathematics
7	Elemente der Mathematik
7	Expositiones Mathematicae
7	Journal of Knot Theory and its Ramifications
7	Foundations of Computational Mathematics
7	Oberwolfach Reports
7	Ars Mathematica Contemporanea
6	Information Processing Letters
6	Applied Mathematics and Computation
6	Collectanea Mathematica
6	Inventiones Mathematicae
6	Journal of Computer and System Sciences
6	Kybernetika
6	Annals of Operations Research
6	Applicable Algebra in Engineering, Communication and Computing
6	Combinatorics, Probability and Computing
6	Mathematical Methods of Operations Research
6	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6	Arnold Mathematical Journal
5	Computer Methods in Applied Mechanics and Engineering
...and 395 more Serials

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Cited in 61 Fields

1,493	Convex and discrete geometry (52-XX)
1,233	Combinatorics (05-XX)
413	Algebraic geometry (14-XX)
350	Computer science (68-XX)
326	Operations research, mathematical programming (90-XX)
239	Commutative algebra (13-XX)
238	Manifolds and cell complexes (57-XX)
237	Algebraic topology (55-XX)
191	Group theory and generalizations (20-XX)
169	Order, lattices, ordered algebraic structures (06-XX)
156	Number theory (11-XX)
149	Geometry (51-XX)
98	Several complex variables and analytic spaces (32-XX)
97	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
90	Probability theory and stochastic processes (60-XX)
89	Numerical analysis (65-XX)
83	Linear and multilinear algebra; matrix theory (15-XX)
67	Differential geometry (53-XX)
60	Associative rings and algebras (16-XX)
59	Statistics (62-XX)
59	Quantum theory (81-XX)
47	Biology and other natural sciences (92-XX)
43	Systems theory; control (93-XX)
38	Information and communication theory, circuits (94-XX)
33	General topology (54-XX)
33	Global analysis, analysis on manifolds (58-XX)
31	General and overarching topics; collections (00-XX)
31	Dynamical systems and ergodic theory (37-XX)
29	Nonassociative rings and algebras (17-XX)
27	Mathematical logic and foundations (03-XX)
27	Category theory; homological algebra (18-XX)
27	Statistical mechanics, structure of matter (82-XX)
25	Real functions (26-XX)
23	History and biography (01-XX)
23	Operator theory (47-XX)
21	Field theory and polynomials (12-XX)
21	Functional analysis (46-XX)
19	Special functions (33-XX)
19	Calculus of variations and optimal control; optimization (49-XX)
18	Measure and integration (28-XX)
18	Approximations and expansions (41-XX)
17	Ordinary differential equations (34-XX)
14	Partial differential equations (35-XX)
14	Harmonic analysis on Euclidean spaces (42-XX)
12	Difference and functional equations (39-XX)
12	Relativity and gravitational theory (83-XX)
11	Functions of a complex variable (30-XX)
10	\(K\)-theory (19-XX)
9	Topological groups, Lie groups (22-XX)
9	Mechanics of deformable solids (74-XX)
7	Mechanics of particles and systems (70-XX)
6	Sequences, series, summability (40-XX)
5	Abstract harmonic analysis (43-XX)
5	Classical thermodynamics, heat transfer (80-XX)
5	Mathematics education (97-XX)
4	General algebraic systems (08-XX)
4	Fluid mechanics (76-XX)
3	Optics, electromagnetic theory (78-XX)
2	Potential theory (31-XX)
2	Integral transforms, operational calculus (44-XX)
1	Integral equations (45-XX)

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