Edit Profile (opens in new tab) Ziegler, Günter Matthias Compute Distance To: Compute Author ID: ziegler.gunter-m Published as: Ziegler, Günter M.; Ziegler, G. M.; Ziegler, Günter; Ziegler, Günter Matthias; Ziegler, G. Homepage: http://www.mi.fu-berlin.de/math/groups/discgeom/ziegler External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 229 Publications since 1986, including 23 Books 14 Contributions as Editor · 9 Further Contributions Reviewing Activity: 78 Reviews Biographic References: 1 Publication Co-Authors: 122 Co-Authors with 154 Joint Publications 3,445 Co-Co-Authors all top 5 Co-Authors 88 single-authored 26 Blagojević, Pavle V. M. 16 Aigner, Martin 12 Björner, Anders 6 Joswig, Michael 5 Henk, Martin 5 Kaibel, Volker 5 Lück, Wolfgang 5 Richter-Gebert, Jürgen 4 Bobenko, Alexander Ivanovich 4 Frick, Florian 4 Matoušek, Jiří 4 Matschke, Benjamin 4 Sturmfels, Bernd 3 Dais, Dimitrios I. 3 Feichtner, Eva Maria 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 Sanyal, Raman 3 Schwartz, Alexander 3 Sullivan, John M. jun. 2 Behrends, Ehrhard 2 Brinkmann, Philip 2 Ceballos, Cesar 2 Cohen, Frederick Ronald 2 Dimitrijević Blagojević, Aleksandra S. 2 Gritzmann, Peter 2 Lackmann, Malte 2 Las Vergnas, Michel 2 Loiskekoski, Lauri 2 Paffenholz, Andreas 2 Palić, Nevena 2 Pfeifle, Julian 2 Pfetsch, Marc E. 2 Rote, Günter 2 Santos, Francisco 2 Schleicher, Dierk 2 Schröder, Peter 2 Sjöberg, Hannah 2 Weismantel, Robert 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 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 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 Labbé, Jean-Philippe 1 Lagarias, Jeffrey C. 1 Lamport, Leslie 1 Lange, Carsten 1 León, Emerson 1 Linusson, Svante 1 Liu, Jiyong 1 Lovász, László 1 Lutz, Frank Hagen 1 Massey, David Bradley 1 Mechtel, Rafael 1 Mnëv, Nikolai Evgen’evich 1 Munro, Alice 1 Nill, Benjamin 1 Novik, Isabella 1 Padrol, Arnau ...and 46 more Co-Authors all top 5 Serials 45 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 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 Mathematika 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 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 Tohoku 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 all top 5 Fields 151 Convex and discrete geometry (52-XX) 79 Combinatorics (05-XX) 73 General and overarching topics; collections (00-XX) 31 Geometry (51-XX) 30 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) 15 Operations research, mathematical programming (90-XX) 14 Real functions (26-XX) 12 Algebraic geometry (14-XX) 11 Computer science (68-XX) 7 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 160 Publications have been cited 3,187 times in 2,274 Documents Cited by ▼ Year ▼ Lectures on polytopes. Zbl 0823.52002Ziegler, Günter M. 892 1995 Oriented matroids. 2nd ed. Zbl 0944.52006Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter 145 1999 Oriented matroids. Zbl 0773.52001Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter M. 118 1993 Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1024.52001Grünbaum, Branko 117 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 1016.05001Matoušek, Jiří 106 2003 Bounds for lattice polytopes containing a fixed number of interior points in a sublattice. Zbl 0752.52010Lagarias, Jeffrey C.; Ziegler, Günter M. 66 1991 Proofs from THE BOOK. 4th revised and enlarged ed. Zbl 1185.00001Aigner, Martin; Ziegler, Günter M. 59 2010 Generalized Kneser coloring theorems with combinatorial proofs. Zbl 1029.05058Ziegler, Günter M. 50 2002 Introduction to greedoids. Zbl 0772.05026Björner, Anders; Ziegler, Günter M. 47 1992 Hyperplane arrangements with a lattice of regions. Zbl 0698.51010Björner, Anders; Edelman, Paul H.; Ziegler, Günter M. 46 1990 Proofs from THE BOOK. Zbl 0905.00001Aigner, Martin; Ziegler, Günter M. 42 1998 Proofs from THE BOOK. 3rd ed. Zbl 1098.00001Aigner, Martin; Ziegler, Günter M. 42 2004 Shelling polyhedral 3-balls and 4-polytopes. Zbl 0898.52006Ziegler, G. M. 41 1998 Higher Bruhat orders and cyclic hyperplane arrangements. Zbl 0782.06003Ziegler, Günter M. 41 1993 Homotopy types of subspace arrangements via diagrams of spaces. Zbl 0792.55002Ziegler, Günter M.; Živaljević, Rade T. 39 1993 Combinatorial stratification of complex arrangements. Zbl 0754.52003Björner, Anders; Ziegler, Günter M. 38 1992 Lectures on 0/1-polytopes. Zbl 0966.52012Ziegler, Günter M. 35 2000 Homotopy colimits – comparison lemmas for combinatorial applications. Zbl 0995.55004Welker, Volkmar; Ziegler, Günter M.; Živaljević, Rade T. 35 1999 Proofs from THE BOOK. 2nd ed. Zbl 0978.00002Aigner, Martin; Ziegler, Günter M. 33 2001 Many non-equivalent realizations of the associahedron. Zbl 1389.52013Ceballos, Cesar; Santos, Francisco; Ziegler, Günter M. 32 2015 Combinatorial construction of logarithmic differential forms. Zbl 0725.05032Ziegler, Günter M. 31 1989 Broken circuit complexes: Factorizations and generalizations. Zbl 0753.05019Björner, Anders; Ziegler, Günter M. 30 1991 Topological lower bounds for the chromatic number: a hierarchy. Zbl 1063.05047Matoušek, Jiří; Ziegler, Günter M. 28 2004 Tverberg plus constraints. Zbl 1305.52021Blagojević, Pavle V. M.; Frick, Florian; Ziegler, Günter M. 26 2014 Optimal bounds for the colored Tverberg problem. Zbl 1327.52009Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M. 26 2015 Matroid representations and free arrangements. Zbl 0727.05019Ziegler, Günter M. 25 1990 Basic properties of convex polytopes. Zbl 0911.52007Henk, Martin; Richter-Gebert, Jürgen; Ziegler, Günter M. 24 1997 Proofs from THE BOOK. With illustrations by Karl H. Hofmann. 5th revised and enlarged ed. Zbl 1294.01001Aigner, Martin; Ziegler, Günter M. 24 2014 Neighborly cubical polytopes. Zbl 1066.52012Joswig, M.; Ziegler, G. M. 24 2000 Convex equipartitions via equivariant obstruction theory. Zbl 1305.52005Blagojević, Pavle V. M.; Ziegler, Günter M. 23 2014 Extension spaces of oriented matroids. Zbl 0783.52009Sturmfels, Bernd; Ziegler, Günter M. 23 1993 Shellability of chessboard complexes. Zbl 0828.57017Ziegler, Günter M. 22 1994 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 1234.05002Matoušek, Jiří 22 2008 Proofs from THE BOOK. Including illustrations by Karl H. Hofmann. Revised and enlarged 6th edition. Zbl 1392.00001Aigner, Martin; Ziegler, Günter M. 20 2018 Optimal bounds for a colorful Tverberg-Vrećica type problem. Zbl 1213.52009Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M. 20 2011 Gröbner bases of lattices, corner polyhedra, and integer programming. Zbl 0863.90115Sturmfels, Bernd; Weismantel, Robert; Ziegler, Günter M. 20 1995 Multiarrangements of hyperplanes and their freeness. Zbl 0678.51010Ziegler, Günter M. 19 1989 Kissing numbers, sphere packings, and some unexpected proofs. Zbl 1168.52305Pfender, Florian; Ziegler, Günter M. 18 2004 Decompositions of simplicial balls and spheres with knots consisting of few edges. Zbl 0965.57022Hachimori, Masahiro; Ziegler, Günter M. 17 2000 Projecting lattice polytopes without interior lattice points. Zbl 1243.52012Nill, Benjamin; Ziegler, Günter M. 17 2011 Zonotopal tilings and the Bohne-Dress theorem. Zbl 0842.05018Richter-Gebert, Jürgen; Ziegler, Günter M. 17 1994 Deformed products and maximal shadows of polytopes. Zbl 0916.90205Amenta, Nina; Ziegler, Günter M. 16 1999 Beyond the Borsuk-Ulam theorem: the topological Tverberg story. Zbl 1470.52007Blagojević, Pavle V. M.; Ziegler, Günter M. 16 2017 Construction and analysis of projected deformed products. Zbl 1192.52019Sanyal, Raman; Ziegler, Günter M. 16 2010 Tverberg’s theorem at 50: extensions and counterexamples. Zbl 1358.52022Bárány, Imre; Blagojević, Pavle V. M.; Ziegler, Günter M. 16 2016 On the maximal width of empty lattice simplices. Zbl 0966.52013Haase, Christian; Ziegler, Günter M. 15 2000 \(3N\) colored points in a plane. Zbl 1222.51003Ziegler, Günter M. 15 2011 The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes. Zbl 1225.55002Blagojević, Pavle V. M.; Ziegler, Günter M. 15 2011 Coloring Hamming graphs, optimal binary codes, and the 0/1-Borsuk problem in low dimensions. Zbl 1004.52010Ziegler, Günter M. 15 2001 On locally constructible spheres and balls. Zbl 1237.57025Benedetti, Bruno; Ziegler, Günter M. 15 2011 Realization spaces of 4-polytopes are universal. Zbl 0853.52012Richter-Gebert, Jürgen; Ziegler, Günter M. 15 1995 On Kalai’s conjectures concerning centrally symmetric polytopes. Zbl 1168.52013Sanyal, Raman; Werner, Axel; Ziegler, Günter M. 13 2009 Bier spheres and posets. Zbl 1079.52006Björner, Anders; Paffenholz, Andreas; Sjöstrand, Jonas; Ziegler, Günter M. 13 2005 Fat 4-polytopes and fatter 3-spheres. Zbl 1045.52006Eppstein, David; Kuperberg, Greg; Ziegler, Günter M. 13 2003 Oriented matroids. Zbl 0902.05015Richter-Gebert, Jürgen; Ziegler, Günter M. 12 1997 The \(E_t\)-construction for lattices, spheres and polytopes. Zbl 1109.52009Paffenholz, Andreas; Ziegler, Günter M. 12 2004 Projected products of polygons. Zbl 1068.52014Ziegler, Günter M. 12 2004 On the poset of partitions of an integer. Zbl 0594.06001Ziegler, Günter M. 12 1986 Barycenters of polytope skeleta and counterexamples to the topological Tverberg conjecture, via constraints. Zbl 1428.52008Blagojević, Pavle V. M.; Frick, Florian; Ziegler, Günter M. 11 2019 Counting lattice triangulations. Zbl 1031.05011Kaibel, Volker; Ziegler, Günter M. 11 2003 Face numbers of 4-polytopes and 3-spheres. Zbl 1006.52006Ziegler, Günter M. 11 2002 Coxeter-associahedra. Zbl 0822.52007Reiner, Victor; Ziegler, Günter M. 11 1994 Projections of polytopes and the generalized Baues conjecture. Zbl 0865.52008Rambau, J.; Ziegler, G. M. 11 1996 Topology of the Grünbaum-Hadwiger-Ramos hyperplane mass partition problem. Zbl 1396.52011Blagojević, Pavle V. M.; Frick, Florian; Haase, Albert; Ziegler, Günter M. 10 2018 The integral cohomology algebras of ordered configuration spaces of spheres. Zbl 0992.55014Feichtner, Eva Maria; Ziegler, Günter M. 10 2000 Hilbert bases, unimodular triangulations, and binary covers of rational polyhedral cones. Zbl 0917.90251Firla, R. T.; Ziegler, G. M. 10 1999 Many triangulated 3-spheres. Zbl 1062.52011Pfeifle, Julian; Ziegler, Günter M. 10 2004 Maximizing Möbius functions on subsets of Boolean algebras. Zbl 0809.05004Sagan, Bruce E.; Yeh, Yeong-Nan; Ziegler, Günter M. 10 1994 Unimodular triangulations of dilated 3-polytopes. Zbl 1303.52007Santos, F.; Ziegler, G. M. 9 2013 Many projectively unique polytopes. Zbl 1339.52011Adiprasito, Karim A.; Ziegler, Günter M. 9 2015 Equivariant topology of configuration spaces. Zbl 1329.55019Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 9 2015 All toric local complete intersection singularities admit projective crepant resolutions. Zbl 1050.14044Dais, Dimitrios I.; Haase, Christian; Ziegler, Günter M. 8 2001 On the existence of crepant resolutions of Gorenstein abelian quotient singularities in dimension \(\geq 4\). Zbl 1139.14015Dais, Dimitrios I.; Henk, Martin; Ziegler, Günter M. 8 2006 Randomized simplex algorithms on Klee-Minty cubes. Zbl 0947.90066Gärtner, Bernd; Henk, Martin; Ziegler, Günter M. 8 1998 Hyperplane mass partitions via relative equivariant obstruction theory. Zbl 1361.55007Blagojević, Pavle V. M.; Frick, Florian; Haase, Albert; Ziegler, Günter M. 8 2016 Extremal properties of \(0/1\)-polytopes. Zbl 0881.52005Kortenkamp, U. H.; Richter-Gebert, J.; Sarangarajan, A.; Ziegler, G. M. 8 1997 Matroid shellability, \(\beta\)-systems, and affine hyperplane arrangements. Zbl 0782.05022Ziegler, Günter M. 8 1992 On the difference between real and complex arrangements. Zbl 0789.57018Ziegler, Günter M. 8 1993 Inscribable stacked polytopes. Zbl 1288.52007Gonska, Bernd; Ziegler, Günter M. 8 2013 Convex polytopes: extremal constructions and \(f\)-vector shapes. Zbl 1134.52018Ziegler, Günter M. 7 2007 A census of flag-vectors of 4-polytopes. Zbl 0966.52008Höppner, Andrea; Ziegler, Günter M. 7 2000 Nonrational configurations, polytopes, and surfaces. Zbl 1210.00047Ziegler, Günter M. 7 2008 On orbit configuration spaces of spheres. Zbl 0992.55017Feichtner, Eva Maria; Ziegler, Günter M. 7 2002 Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds. Zbl 1110.52015Schwartz, Alexander; Ziegler, Günter M. 7 2004 Combinatorial models for the finite-dimensional Grassmannians. Zbl 0783.52007Mnëv, Nicolai E.; Ziegler, Günter M. 7 1993 Combinatorial Stokes formulas via minimal resolutions. Zbl 1200.05025Hanke, Bernhard; Sanyal, Raman; Schultz, Carsten; Ziegler, Günter M. 7 2009 The topological Tverberg theorem and winding numbers. Zbl 1081.05079Schöneborn, Torsten; Ziegler, Günter M. 6 2005 Convex equipartitions of colored point sets. Zbl 1407.52031Blagojević, Pavle V. M.; Rote, Günter; Steinmeyer, Johanna K.; Ziegler, Günter M. 6 2019 Discrete differential geometry. Zbl 1132.53004 6 2008 Zonotopes associated with higher Bruhat orders. Zbl 0996.05113Felsner, Stefan; Ziegler, Günter M. 6 2001 Posets with maximal Möbius function. Zbl 0726.05010Ziegler, Günter M. 6 1991 Some minimal non-orientable matroids of rank three. Zbl 0726.05026Ziegler, Günter M. 6 1991 A variant of the Buchberger algorithm for integer programming. Zbl 0872.90065Urbaniak, Regina; Weismantel, Robert; Ziegler, Günter M. 6 1997 On the height of the minimal Hilbert basis. Zbl 0779.52002Liu, Jiyong; Trotter, Leslie E. jun.; Ziegler, Günter M. 6 1993 “What is a complex matroid?”. Zbl 0782.52005Ziegler, Günter M. 6 1993 Convex hulls, oracles, and homology. Zbl 1121.52030Joswig, Michael; Ziegler, Günter M. 6 2004 Shellability of complexes of trees. Zbl 0916.06004Trappmann, Henryk; Ziegler, Günter M. 5 1998 All abelian quotient C. I. -singularities admit projective crepant resolutions in all dimensions. Zbl 0930.14006Dais, Dimitrios I.; Henk, Martin; Ziegler, Günter M. 5 1998 On generalized Kneser hypergraph colorings. Zbl 1111.05037Lange, Carsten E. M. C.; Ziegler, Günter M. 5 2007 Small \(f\)-vectors of 3-spheres and of 4-polytopes. Zbl 1395.52013Brinkmann, Philip; Ziegler, Günter M. 5 2018 Characterizing face and flag vector pairs for polytopes. Zbl 1466.52013Sjöberg, Hannah; Ziegler, Günter M. 1 2020 Area difference bounds for dissections of a square into an odd number of triangles. Zbl 1460.52016Labbé, Jean-Philippe; Rote, Günter; Ziegler, Günter Matthias 1 2020 Barycenters of polytope skeleta and counterexamples to the topological Tverberg conjecture, via constraints. Zbl 1428.52008Blagojević, Pavle V. M.; Frick, Florian; Ziegler, Günter M. 11 2019 Convex equipartitions of colored point sets. Zbl 1407.52031Blagojević, Pavle V. M.; Rote, Günter; Steinmeyer, Johanna K.; Ziegler, Günter M. 6 2019 Cutting a part from many measures. Zbl 1426.52002Blagojević, Pavle V. M.; Palić, Nevena; Soberón, Pablo; Ziegler, Günter M. 2 2019 Some more amplituhedra are contractible. Zbl 1414.55003Blagojević, Pavle V. M.; Galashin, Pavel; Palić, Nevena; Ziegler, Günter M. 2 2019 Semi-algebraic sets of \(f\)-vectors. Zbl 1425.52010Sjöberg, Hannah; Ziegler, Günter M. 1 2019 Proofs from THE BOOK. Including illustrations by Karl H. Hofmann. Revised and enlarged 6th edition. Zbl 1392.00001Aigner, Martin; Ziegler, Günter M. 20 2018 Topology of the Grünbaum-Hadwiger-Ramos hyperplane mass partition problem. Zbl 1396.52011Blagojević, Pavle V. M.; Frick, Florian; Haase, Albert; Ziegler, Günter M. 10 2018 Small \(f\)-vectors of 3-spheres and of 4-polytopes. Zbl 1395.52013Brinkmann, Philip; Ziegler, Günter M. 5 2018 Spaces of convex \(n\)-partitions. Zbl 1444.52008León, Emerson; 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 1470.52007Blagojević, Pavle V. M.; Ziegler, Günter M. 16 2017 A flag vector of a 3-sphere that is not the flag vector of a 4-polytope. Zbl 1365.52012Brinkmann, Philip; Ziegler, Günter M. 3 2017 Polynomial partitioning for several sets of varieties. Zbl 1386.52016Blagojević, Pavle V. M.; Dimitrijević Blagojević, Aleksandra S.; Ziegler, Günter M. 2 2017 Using Brouwer’s fixed point theorem. Zbl 1382.91021Björner, Anders; Matoušek, Jiří; Ziegler, Günter M. 1 2017 Simple polytopes without small separators. Zbl 1381.52018Loiskekoski, Lauri; Ziegler, Günter M. 1 2017 Tverberg’s theorem at 50: extensions and counterexamples. Zbl 1358.52022Bárány, Imre; Blagojević, Pavle V. M.; Ziegler, Günter M. 16 2016 Hyperplane mass partitions via relative equivariant obstruction theory. Zbl 1361.55007Blagojević, Pavle V. M.; Frick, Florian; Haase, Albert; Ziegler, Günter M. 8 2016 On highly regular embeddings. Zbl 1445.55012Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 3 2016 On complex highly regular embeddings and the extended Vassiliev conjecture. Zbl 1404.55017Blagojević, Pavle V. M.; Cohen, Frederick R.; Lück, Wolfgang; Ziegler, Günter M. 2 2016 Many non-equivalent realizations of the associahedron. Zbl 1389.52013Ceballos, Cesar; Santos, Francisco; Ziegler, Günter M. 32 2015 Optimal bounds for the colored Tverberg problem. Zbl 1327.52009Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M. 26 2015 Many projectively unique polytopes. Zbl 1339.52011Adiprasito, Karim A.; Ziegler, Günter M. 9 2015 Equivariant topology of configuration spaces. Zbl 1329.55019Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 9 2015 Cannons at sparrows. Zbl 1329.00021Ziegler, Günter M. 4 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 1297.00006Aigner, Martin; Ziegler, Günter M. 1 2015 On highly regular embeddings. Zbl 1351.57027Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 1 2015 Tverberg plus constraints. Zbl 1305.52021Blagojević, Pavle V. M.; Frick, Florian; Ziegler, Günter M. 26 2014 Proofs from THE BOOK. With illustrations by Karl H. Hofmann. 5th revised and enlarged ed. Zbl 1294.01001Aigner, Martin; Ziegler, Günter M. 24 2014 Convex equipartitions via equivariant obstruction theory. Zbl 1305.52005Blagojević, Pavle V. M.; Ziegler, Günter M. 23 2014 Extremal edge polytopes. Zbl 1300.05145Tran, Tuan; Ziegler, Günter M. 4 2014 Optimal elliptic Sobolev regularity near three-dimensional multi-material Neumann vertices. Zbl 1315.35077Haller-Dintelmann, R.; Höppner, W.; Kaiser, H.-c.; Rehberg, J.; Ziegler, G. M. 3 2014 Foldable triangulations of lattice polygons. Zbl 1315.52012Joswig, Michael; Ziegler, Günter M. 2 2014 Do I count? Stories from mathematics. Translated from the German by Thomas von Foerster. Zbl 1285.00008Ziegler, Günter M. 1 2014 Unimodular triangulations of dilated 3-polytopes. Zbl 1303.52007Santos, F.; Ziegler, G. M. 9 2013 Inscribable stacked polytopes. Zbl 1288.52007Gonska, Bernd; Ziegler, Günter M. 8 2013 Face numbers of centrally symmetric polytopes produced from Split graphs. Zbl 1270.52011Freij, Ragnar; Henze, Matthias; Schmitt, Moritz W.; Ziegler, Günter M. 3 2013 Three mathematical competitions. (Drei mathematische Wettbewerbe.) Zbl 1323.00022Ziegler, Günter M. 1 2013 Who solved the Hirsch conjecture? Zbl 1270.90007Ziegler, Günter M. 2 2012 Realizing the associahedron: mysteries and questions. Zbl 1268.52008Ceballos, Cesar; Ziegler, Günter M. 1 2012 Optimal bounds for a colorful Tverberg-Vrećica type problem. Zbl 1213.52009Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M. 20 2011 Projecting lattice polytopes without interior lattice points. Zbl 1243.52012Nill, Benjamin; Ziegler, Günter M. 17 2011 \(3N\) colored points in a plane. Zbl 1222.51003Ziegler, Günter M. 15 2011 The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes. Zbl 1225.55002Blagojević, Pavle V. M.; Ziegler, Günter M. 15 2011 On locally constructible spheres and balls. Zbl 1237.57025Benedetti, Bruno; Ziegler, Günter M. 15 2011 A tight colored Tverberg theorem for maps to manifolds. Zbl 1232.55003Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M. 3 2011 Polyhedral surfaces in wedge products. Zbl 1217.51011Rörig, Thilo; Ziegler, Günter M. 2 2011 A lost counterexample and a problem on illuminated polytopes. Zbl 1222.52013Wotzlaw, Ronald F.; Ziegler, Günter M. 1 2011 Three mathematics competitions. Zbl 1401.01006Ziegler, Günter M. 1 2011 Mathematics education gives answers: to which questions? (Mathematikunterricht liefert Antworten: auf welche Fragen?) Zbl 1328.97012Ziegler, Günter M. 1 2011 Proofs from THE BOOK. 4th revised and enlarged ed. Zbl 1185.00001Aigner, Martin; Ziegler, Günter M. 59 2010 Construction and analysis of projected deformed products. Zbl 1192.52019Sanyal, Raman; Ziegler, Günter M. 16 2010 Proofs from THE BOOK. 3rd expanded ed. (Das BUCH der Beweise.) Zbl 1177.00002Aigner, Martin; Ziegler, Günter M. 2 2010 On Kalai’s conjectures concerning centrally symmetric polytopes. Zbl 1168.52013Sanyal, Raman; Werner, Axel; Ziegler, Günter M. 13 2009 Combinatorial Stokes formulas via minimal resolutions. Zbl 1200.05025Hanke, Bernhard; Sanyal, Raman; Schultz, Carsten; Ziegler, Günter M. 7 2009 Tetrahedra on deformed spheres and integral group cohomology. Zbl 1205.55005Blagojević, Pavle V. M.; Ziegler, Günter M. 3 2009 Zonotopes with large 2D-cuts. Zbl 1191.52009Rörig, 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 1234.05002Matoušek, Jiří 22 2008 Nonrational configurations, polytopes, and surfaces. Zbl 1210.00047Ziegler, Günter M. 7 2008 Discrete differential geometry. Zbl 1132.53004 6 2008 Polyhedral surfaces of high genus. Zbl 1143.53305Ziegler, Günter M. 3 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 1134.52018Ziegler, Günter M. 7 2007 On generalized Kneser hypergraph colorings. Zbl 1111.05037Lange, Carsten E. M. C.; Ziegler, Günter M. 5 2007 On the existence of crepant resolutions of Gorenstein abelian quotient singularities in dimension \(\geq 4\). Zbl 1139.14015Dais, Dimitrios I.; Henk, Martin; Ziegler, Günter M. 8 2006 Proofs from THE BOOK. Transl. from the English by Nicolas Puech. 2nd ed. (Raisonnements divins. Quelques démonstrations mathématiques particulièrement élégantes.) Zbl 1140.00001Aigner, Martin; Ziegler, Günter M. 3 2006 Report 12/2006: Discrete Differential Geometry (March 5th – March 11th, 2006). Zbl 1109.52300 2 2006 Singular 0/1-matrices, and the hyperplanes spanned by random 0/1-vectors. Zbl 1165.15018Voigt, Thomas; Ziegler, Günter M. 2 2006 Bier spheres and posets. Zbl 1079.52006Björner, Anders; Paffenholz, Andreas; Sjöstrand, Jonas; Ziegler, Günter M. 13 2005 The topological Tverberg theorem and winding numbers. Zbl 1081.05079Schöneborn, Torsten; Ziegler, Günter M. 6 2005 The simplex algorithm in dimension three. Zbl 1121.65327Kaibel, Volker; Mechtel, Rafael; Sharir, Micha; Ziegler, Günter M. 4 2005 Proofs from THE BOOK. 3rd ed. Zbl 1098.00001Aigner, Martin; Ziegler, Günter M. 42 2004 Topological lower bounds for the chromatic number: a hierarchy. Zbl 1063.05047Matoušek, Jiří; Ziegler, Günter M. 28 2004 Kissing numbers, sphere packings, and some unexpected proofs. Zbl 1168.52305Pfender, Florian; Ziegler, Günter M. 18 2004 The \(E_t\)-construction for lattices, spheres and polytopes. Zbl 1109.52009Paffenholz, Andreas; Ziegler, Günter M. 12 2004 Projected products of polygons. Zbl 1068.52014Ziegler, Günter M. 12 2004 Many triangulated 3-spheres. Zbl 1062.52011Pfeifle, Julian; Ziegler, Günter M. 10 2004 Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds. Zbl 1110.52015Schwartz, Alexander; Ziegler, Günter M. 7 2004 Convex hulls, oracles, and homology. Zbl 1121.52030Joswig, Michael; Ziegler, Günter M. 6 2004 On the monotone upper bound problem. Zbl 1068.52019Pfeifle, Julian; Ziegler, Günter M. 4 2004 The great prime number record races. Zbl 1168.11328Ziegler, Günter M. 4 2004 Typical and extremal linear programs. Zbl 1152.90531Ziegler, Günter M. 1 2004 Proofs from THE BOOK. Transl. from the English. 2nd ed. (Das BUCH der Beweise.) Zbl 1038.00001Aigner, Martin; Ziegler, Günter M. 1 2004 Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1024.52001Grünbaum, Branko 117 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 1016.05001Matoušek, Jiří 106 2003 Fat 4-polytopes and fatter 3-spheres. Zbl 1045.52006Eppstein, David; Kuperberg, Greg; Ziegler, Günter M. 13 2003 Counting lattice triangulations. Zbl 1031.05011Kaibel, Volker; Ziegler, Günter M. 11 2003 Generalized Kneser coloring theorems with combinatorial proofs. Zbl 1029.05058Ziegler, Günter M. 50 2002 Face numbers of 4-polytopes and 3-spheres. Zbl 1006.52006Ziegler, Günter M. 11 2002 On orbit configuration spaces of spheres. Zbl 0992.55017Feichtner, Eva Maria; Ziegler, Günter M. 7 2002 Proofs from THE BOOK. Transl. from the English. (Das BUCH der Beweise.) Zbl 0988.00001Aigner, Martin; Ziegler, Günter M. 3 2002 Examples and counterexamples for the Perles conjecture. Zbl 1011.52005Haase, Christian; Ziegler, Günter M. 2 2002 On free planes in lattice ball packings. Zbl 1038.11041Henk, Martin; Ziegler, Günter M.; Zong, Chuanming 1 2002 Proofs from THE BOOK. 2nd ed. Zbl 0978.00002Aigner, Martin; Ziegler, Günter M. 33 2001 Coloring Hamming graphs, optimal binary codes, and the 0/1-Borsuk problem in low dimensions. Zbl 1004.52010Ziegler, Günter M. 15 2001 All toric local complete intersection singularities admit projective crepant resolutions. Zbl 1050.14044Dais, Dimitrios I.; Haase, Christian; Ziegler, Günter M. 8 2001 Zonotopes associated with higher Bruhat orders. Zbl 0996.05113Felsner, Stefan; Ziegler, Günter M. 6 2001 Vertex-facet incidences of unbounded polyhedra. Zbl 0994.52009Joswig, Michael; Kaibel, Volker; Pfetsch, Marc E.; Ziegler, Günter M. 1 2001 Lectures on 0/1-polytopes. Zbl 0966.52012Ziegler, Günter M. 35 2000 ...and 60 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,703 Authors 64 Ziegler, Günter Matthias 29 Santos, Francisco 26 Živaljević, Rade T. 25 Blagojević, Pavle V. M. 21 Pilaud, Vincent 20 Adiprasito, Karim Alexander 20 Nevo, Eran 18 Padrol, Arnau 16 Joswig, Michael 15 De Loera, Jesús A. 15 Reiner, Victor 14 Ehrenborg, Richard 14 Soberón, Pablo 14 Welker, Volkmar 13 Frick, Florian 13 Sanyal, Raman 13 Tsuchiya, Akiyoshi 12 Fiorini, Samuel 12 Knauer, Kolja B. 12 Meunier, Frédéric 12 Nill, Benjamin 12 Terao, Hiroaki 11 Abe, Takuro 11 Averkov, Gennadiy 11 Benedetti, Bruno 11 Björner, Anders 11 Henk, Martin 11 Jojić, Duško 11 Sturmfels, Bernd 10 Dimca, Alexandru 10 Felsner, Stefan 10 Hibi, Takayuki 10 Levit, Vadim E. 10 Readdy, Margaret A. 10 Vrećica, Siniša T. 9 Alishahi, Meysam 9 Delucchi, Emanuele 9 Holmsen, Andreas F. 9 Onn, Shmuel 9 Panina, Gaiane Yu. 9 Reading, Nathan 8 Athanasiadis, Christos A. 8 Beck, Matthias 8 Ceballos, Cesar 8 Doignon, Jean-Paul 8 Haase, Christian Alexander 8 McConville, Thomas 8 Paffenholz, Andreas 8 Vallentin, Frank 7 Ardila, Federico 7 Bokowski, Jürgen G. 7 Chepoi, Victor D. 7 Denham, Graham 7 Deza, Antoine 7 Gubeladze, Joseph 7 Hachimori, Masahiro 7 Hochstättler, Winfried 7 Labbé, Jean-Philippe 7 Mandrescu, Eugen 7 Pach, János 7 Pfeifle, Julian 7 Pineda-Villavicencio, Guillermo 7 Richter-Gebert, Jürgen 7 Römer, Tim 7 Schürmann, Achill 7 Sottile, Frank 7 Studený, Milan 7 Tardos, Gábor 7 Weismantel, Robert 7 Yuzvinsky, Sergey 6 Anderson, Laura 6 Bárány, Imre 6 Battaglia, Fiammetta 6 Billera, Louis J. 6 Braun, Benjamin 6 Bruns, Winfried 6 Dobbins, Michael Gene 6 Edelman, Paul H. 6 Falk, Michael J. 6 Gioan, Emeric 6 Hersh, Patricia 6 Higashitani, Akihiro 6 Hohlweg, Christophe 6 Hoşten, Serkan 6 Juhnke-Kubitzke, Martina 6 Kaibel, Volker 6 Lange, Carsten 6 Morris, Walter D. jun. 6 Murai, Satoshi 6 Musin, Oleg R. 6 Novik, Isabella 6 Pournin, Lionel 6 Röhrle, Gerhard E. 6 Rote, Günter 6 Sagan, Bruce Eli 6 Sticlaru, Gabriel 6 Strausz, Ricardo 6 Thomas, Hugh Ross 6 Tiwary, Hans Raj 6 Williams, Lauren K. ...and 2,603 more Authors all top 5 Cited in 394 Serials 186 Discrete & Computational Geometry 132 Journal of Combinatorial Theory. 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GAFA 5 European Journal of Operational Research 5 Applicable Algebra in Engineering, Communication and Computing 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Combinatorics, Probability and Computing 5 Journal of Combinatorial Optimization 5 Annals of Mathematics. Second Series 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 European Journal of Mathematics 4 Information Processing Letters 4 Journal of Geometry and Physics 4 Algebra Universalis 4 Collectanea Mathematica 4 Compositio Mathematica 4 Duke Mathematical Journal 4 Journal of Computational and Applied Mathematics 4 Monatshefte für Mathematik ...and 294 more Serials all top 5 Cited in 60 Fields 1,074 Convex and discrete geometry (52-XX) 898 Combinatorics (05-XX) 280 Algebraic geometry (14-XX) 214 Operations research, mathematical programming (90-XX) 195 Computer science (68-XX) 170 Commutative algebra (13-XX) 166 Algebraic topology (55-XX) 165 Manifolds and cell complexes (57-XX) 144 Group theory and generalizations (20-XX) 129 Order, lattices, ordered algebraic structures (06-XX) 104 Number theory (11-XX) 95 Geometry (51-XX) 69 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 64 Numerical analysis (65-XX) 59 Several complex variables and analytic spaces (32-XX) 58 Probability theory and stochastic processes (60-XX) 53 Linear and multilinear algebra; matrix theory (15-XX) 42 Associative rings and algebras (16-XX) 40 Statistics (62-XX) 39 Differential geometry (53-XX) 34 Quantum theory (81-XX) 31 Systems theory; control (93-XX) 27 Information and communication theory, circuits (94-XX) 26 General topology (54-XX) 26 Global analysis, analysis on manifolds (58-XX) 26 Biology and other natural sciences (92-XX) 22 Dynamical systems and ergodic theory (37-XX) 21 Nonassociative rings and algebras (17-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Mathematical logic and foundations (03-XX) 16 Functional analysis (46-XX) 15 Category theory; homological algebra (18-XX) 14 General and overarching topics; collections (00-XX) 14 Special functions (33-XX) 13 History and biography (01-XX) 13 Field theory and polynomials (12-XX) 13 Real functions (26-XX) 12 Ordinary differential equations (34-XX) 12 Approximations and expansions (41-XX) 12 Operator theory (47-XX) 11 Measure and integration (28-XX) 11 Relativity and gravitational theory (83-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 \(K\)-theory (19-XX) 8 Functions of a complex variable (30-XX) 8 Partial differential equations (35-XX) 7 Topological groups, Lie groups (22-XX) 7 Difference and functional equations (39-XX) 6 Mechanics of particles and systems (70-XX) 5 Sequences, series, summability (40-XX) 5 Abstract harmonic analysis (43-XX) 4 Mathematics education (97-XX) 3 General algebraic systems (08-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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