Edit Profile (opens in new tab) Ziegler, Günter Matthias Co-Author Distance 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 4,145 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 171 Publications have been cited 3,791 times in 2,892 Documents Cited by ▼ Year ▼ Lectures on polytopes. Zbl 0823.52002 Ziegler, Günter M. 1,174 1995 Oriented matroids. 2nd ed. Zbl 0944.52006 Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter 228 1999 Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1024.52001 Grünbaum, Branko 215 2003 Oriented matroids. Zbl 0773.52001 Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter M. 169 1993 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 165 2003 Proofs from THE BOOK. 4th revised and enlarged ed. Zbl 1185.00001 Aigner, Martin; Ziegler, Günter M. 78 2010 Bounds for lattice polytopes containing a fixed number of interior points in a sublattice. Zbl 0752.52010 Lagarias, Jeffrey C.; Ziegler, Günter M. 75 1991 Generalized Kneser coloring theorems with combinatorial proofs. Zbl 1029.05058 Ziegler, Günter M. 58 2002 Hyperplane arrangements with a lattice of regions. Zbl 0698.51010 Björner, Anders; Edelman, Paul H.; Ziegler, Günter M. 56 1990 Introduction to greedoids. Zbl 0772.05026 Björner, Anders; Ziegler, Günter M. 55 1992 Proofs from THE BOOK. 3rd ed. Zbl 1098.00001 Aigner, Martin; Ziegler, Günter M. 55 2004 Many non-equivalent realizations of the associahedron. Zbl 1389.52013 Ceballos, Cesar; Santos, Francisco; Ziegler, Günter M. 53 2015 Higher Bruhat orders and cyclic hyperplane arrangements. Zbl 0782.06003 Ziegler, Günter M. 48 1993 Proofs from THE BOOK. Including illustrations by Karl H. Hofmann. Revised and enlarged 6th edition. Zbl 1392.00001 Aigner, Martin; Ziegler, Günter M. 46 2018 Shelling polyhedral 3-balls and 4-polytopes. Zbl 0898.52006 Ziegler, G. M. 46 1998 Homotopy types of subspace arrangements via diagrams of spaces. Zbl 0792.55002 Ziegler, Günter M.; Živaljević, Rade T. 45 1993 Lectures on 0/1-polytopes. Zbl 0966.52012 Ziegler, Günter M. 44 2000 Proofs from THE BOOK. Zbl 0905.00001 Aigner, Martin; Ziegler, Günter M. 44 1998 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 44 2008 Combinatorial stratification of complex arrangements. Zbl 0754.52003 Björner, Anders; Ziegler, Günter M. 42 1992 Homotopy colimits – comparison lemmas for combinatorial applications. Zbl 0995.55004 Welker, Volkmar; Ziegler, Günter M.; Živaljević, Rade T. 41 1999 Proofs from THE BOOK. 2nd ed. Zbl 0978.00002 Aigner, Martin; Ziegler, Günter M. 38 2001 Optimal bounds for the colored Tverberg problem. Zbl 1327.52009 Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M. 38 2015 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. 35 1989 Topological lower bounds for the chromatic number: a hierarchy. Zbl 1063.05047 Matoušek, Jiří; Ziegler, Günter M. 32 2004 Proofs from THE BOOK. With illustrations by Karl H. Hofmann. 5th revised and enlarged ed. Zbl 1294.01001 Aigner, Martin; Ziegler, Günter M. 32 2014 Basic properties of convex polytopes. Zbl 0911.52007 Henk, Martin; Richter-Gebert, Jürgen; Ziegler, Günter M. 32 1997 Convex equipartitions via equivariant obstruction theory. Zbl 1305.52005 Blagojević, Pavle V. M.; Ziegler, Günter M. 30 2014 Tverberg plus constraints. Zbl 1305.52021 Blagojević, Pavle V. M.; Frick, Florian; Ziegler, Günter M. 30 2014 Shellability of chessboard complexes. Zbl 0828.57017 Ziegler, Günter M. 29 1994 Matroid representations and free arrangements. Zbl 0727.05019 Ziegler, Günter M. 28 1990 Extension spaces of oriented matroids. Zbl 0783.52009 Sturmfels, Bernd; Ziegler, Günter M. 28 1993 Neighborly cubical polytopes. Zbl 1066.52012 Joswig, M.; Ziegler, G. M. 27 2000 Beyond the Borsuk-Ulam theorem: the topological Tverberg story. Zbl 1470.52007 Blagojević, Pavle V. M.; Ziegler, Günter M. 26 2017 Multiarrangements of hyperplanes and their freeness. Zbl 0678.51010 Ziegler, Günter M. 26 1989 Kissing numbers, sphere packings, and some unexpected proofs. Zbl 1168.52305 Pfender, Florian; Ziegler, Günter M. 25 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. 23 1995 Tverberg’s theorem at 50: extensions and counterexamples. Zbl 1358.52022 Bárány, Imre; Blagojević, Pavle V. M.; Ziegler, Günter M. 21 2016 Projecting lattice polytopes without interior lattice points. Zbl 1243.52012 Nill, Benjamin; Ziegler, Günter M. 21 2011 Realization spaces of 4-polytopes are universal. Zbl 0853.52012 Richter-Gebert, Jürgen; Ziegler, Günter M. 20 1995 Deformed products and maximal shadows of polytopes. Zbl 0916.90205 Amenta, Nina; Ziegler, Günter M. 19 1999 On the maximal width of empty lattice simplices. Zbl 0966.52013 Haase, Christian; Ziegler, Günter M. 19 2000 Decompositions of simplicial balls and spheres with knots consisting of few edges. Zbl 0965.57022 Hachimori, Masahiro; Ziegler, Günter M. 19 2000 Zonotopal tilings and the Bohne-Dress theorem. Zbl 0842.05018 Richter-Gebert, Jürgen; Ziegler, Günter M. 18 1994 Oriented matroids. Zbl 0902.05015 Richter-Gebert, Jürgen; Ziegler, Günter M. 18 1997 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. 17 2019 On locally constructible spheres and balls. Zbl 1237.57025 Benedetti, Bruno; Ziegler, Günter M. 17 2011 Coloring Hamming graphs, optimal binary codes, and the 0/1-Borsuk problem in low dimensions. Zbl 1004.52010 Ziegler, Günter M. 16 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 Topology of the Grünbaum-Hadwiger-Ramos hyperplane mass partition problem. Zbl 1396.52011 Blagojević, Pavle V. M.; Frick, Florian; Haase, Albert; Ziegler, Günter M. 15 2018 Fat 4-polytopes and fatter 3-spheres. Zbl 1045.52006 Eppstein, David; Kuperberg, Greg; Ziegler, Günter M. 15 2003 On Kalai’s conjectures concerning centrally symmetric polytopes. Zbl 1168.52013 Sanyal, Raman; Werner, Axel; Ziegler, Günter M. 15 2009 \(3N\) colored points in a plane. Zbl 1222.51003 Ziegler, Günter M. 15 2011 Discrete differential geometry. Zbl 1132.53004 15 2008 Projections of polytopes and the generalized Baues conjecture. Zbl 0865.52008 Rambau, J.; Ziegler, G. M. 14 1996 Combinatorial models for the finite-dimensional Grassmannians. Zbl 0783.52007 Mnëv, Nicolai E.; Ziegler, Günter M. 14 1993 Bier spheres and posets. Zbl 1079.52006 Björner, Anders; Paffenholz, Andreas; Sjöstrand, Jonas; Ziegler, Günter M. 14 2005 Counting lattice triangulations. Zbl 1031.05011 Kaibel, Volker; Ziegler, Günter M. 14 2003 Coxeter-associahedra. Zbl 0822.52007 Reiner, Victor; Ziegler, Günter M. 13 1994 The \(E_t\)-construction for lattices, spheres and polytopes. Zbl 1109.52009 Paffenholz, Andreas; 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 Face numbers of 4-polytopes and 3-spheres. Zbl 1006.52006 Ziegler, Günter M. 12 2002 The integral cohomology algebras of ordered configuration spaces of spheres. Zbl 0992.55014 Feichtner, Eva Maria; Ziegler, Günter M. 12 2000 On the poset of partitions of an integer. Zbl 0594.06001 Ziegler, Günter M. 12 1986 Projected products of polygons. Zbl 1068.52014 Ziegler, Günter M. 12 2004 Many triangulated 3-spheres. Zbl 1062.52011 Pfeifle, Julian; Ziegler, Günter M. 12 2004 Many projectively unique polytopes. Zbl 1339.52011 Adiprasito, Karim A.; Ziegler, Günter M. 12 2015 Convex polytopes: extremal constructions and \(f\)-vector shapes. Zbl 1134.52018 Ziegler, Günter M. 11 2007 Hilbert bases, unimodular triangulations, and binary covers of rational polyhedral cones. Zbl 0917.90251 Firla, R. T.; Ziegler, G. M. 10 1999 Hyperplane mass partitions via relative equivariant obstruction theory. Zbl 1361.55007 Blagojević, Pavle V. M.; Frick, Florian; Haase, Albert; Ziegler, Günter M. 10 2016 All toric local complete intersection singularities admit projective crepant resolutions. Zbl 1050.14044 Dais, Dimitrios I.; Haase, Christian; Ziegler, Günter M. 10 2001 Equivariant topology of configuration spaces. Zbl 1329.55019 Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 10 2015 Matroid shellability, \(\beta\)-systems, and affine hyperplane arrangements. Zbl 0782.05022 Ziegler, Günter M. 10 1992 Maximizing Möbius functions on subsets of Boolean algebras. Zbl 0809.05004 Sagan, Bruce E.; Yeh, Yeong-Nan; Ziegler, Günter M. 10 1994 Inscribable stacked polytopes. Zbl 1288.52007 Gonska, Bernd; Ziegler, Günter M. 10 2013 Extremal properties of \(0/1\)-polytopes. Zbl 0881.52005 Kortenkamp, U. H.; Richter-Gebert, J.; Sarangarajan, A.; Ziegler, G. M. 10 1997 Nonrational configurations, polytopes, and surfaces. Zbl 1210.00047 Ziegler, Günter M. 10 2008 Randomized simplex algorithms on Klee-Minty cubes. Zbl 0947.90066 Gärtner, Bernd; Henk, Martin; Ziegler, Günter M. 9 1998 On orbit configuration spaces of spheres. Zbl 0992.55017 Feichtner, Eva Maria; Ziegler, Günter M. 9 2002 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 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 Zonotopes associated with higher Bruhat orders. Zbl 0996.05113 Felsner, Stefan; Ziegler, Günter M. 8 2001 On the height of the minimal Hilbert basis. Zbl 0779.52002 Liu, Jiyong; Trotter, Leslie E. jun.; Ziegler, Günter M. 8 1993 0/1-integer programming: optimization and augmentation are equivalent. Zbl 1512.90140 Schulz, Andreas S.; Weismantel, Robert; Ziegler, Günter M. 8 1995 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 On the monotone upper bound problem. Zbl 1068.52019 Pfeifle, Julian; Ziegler, Günter M. 7 2004 Combinatorial Stokes formulas via minimal resolutions. Zbl 1200.05025 Hanke, Bernhard; Sanyal, Raman; Schultz, Carsten; Ziegler, Günter M. 7 2009 Posets with maximal Möbius function. Zbl 0726.05010 Ziegler, Günter M. 6 1991 Some minimal non-orientable matroids of rank three. Zbl 0726.05026 Ziegler, Günter M. 6 1991 Convex equipartitions of colored point sets. Zbl 1407.52031 Blagojević, Pavle V. M.; Rote, Günter; Steinmeyer, Johanna K.; Ziegler, Günter M. 6 2019 “What is a complex matroid?”. Zbl 0782.52005 Ziegler, Günter M. 6 1993 Shellability of complexes of trees. Zbl 0916.06004 Trappmann, Henryk; Ziegler, Günter M. 6 1998 On generalized Kneser hypergraph colorings. Zbl 1111.05037 Lange, Carsten E. M. C.; Ziegler, Günter M. 6 2007 A variant of the Buchberger algorithm for integer programming. Zbl 0872.90065 Urbaniak, Regina; Weismantel, Robert; Ziegler, Günter M. 6 1997 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 On the dimensions of the realization spaces of polytopes. Zbl 1522.52029 Rastanawi, Laith; Sinn, Rainer; Ziegler, Günter M. 1 2021 Characterizing face and flag vector pairs for polytopes. Zbl 1466.52013 Sjöberg, Hannah; Ziegler, Günter M. 5 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. 17 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. 46 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. 15 2018 Small \(f\)-vectors of 3-spheres and of 4-polytopes. Zbl 1395.52013 Brinkmann, Philip; Ziegler, Günter M. 5 2018 Spaces of convex \(n\)-partitions. Zbl 1444.52008 León, Emerson; Ziegler, Günter M. 2 2018 2018 Leroy P. Steele Prizes. Zbl 1390.01053 1 2018 For example: on occasion of the fiftieth anniversary of Grünbaum’s Convex polytopes. Zbl 1395.52001 Ziegler, Günter M. 1 2018 Beyond the Borsuk-Ulam theorem: the topological Tverberg story. Zbl 1470.52007 Blagojević, Pavle V. M.; Ziegler, Günter M. 26 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. 21 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 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 On highly regular embeddings. Zbl 1445.55012 Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 3 2016 Six topics on inscribable polytopes. Zbl 1357.52016 Padrol, Arnau; Ziegler, Günter M. 1 2016 Many non-equivalent realizations of the associahedron. Zbl 1389.52013 Ceballos, Cesar; Santos, Francisco; Ziegler, Günter M. 53 2015 Optimal bounds for the colored Tverberg problem. Zbl 1327.52009 Blagojević, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M. 38 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. 32 2014 Convex equipartitions via equivariant obstruction theory. Zbl 1305.52005 Blagojević, Pavle V. M.; Ziegler, Günter M. 30 2014 Tverberg plus constraints. Zbl 1305.52021 Blagojević, Pavle V. M.; Frick, Florian; Ziegler, Günter M. 30 2014 Extremal edge polytopes. Zbl 1300.05145 Tran, Tuan; Ziegler, Günter M. 5 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. 4 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. 10 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. 3 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. 17 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 Three mathematics competitions. Zbl 1401.01006 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 A lost counterexample and a problem on illuminated polytopes. Zbl 1222.52013 Wotzlaw, Ronald F.; Ziegler, Günter M. 1 2011 An invitation to mathematics. From competitions to research. With a preface by Günter M. Ziegler. Zbl 1216.00037 1 2011 Proofs from THE BOOK. 4th revised and enlarged ed. Zbl 1185.00001 Aigner, Martin; Ziegler, Günter M. 78 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. 2 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 44 2008 Discrete differential geometry. Zbl 1132.53004 15 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. 3 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 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 Singular 0/1-matrices, and the hyperplanes spanned by random 0/1-vectors. Zbl 1165.15018 Voigt, Thomas; Ziegler, Günter M. 2 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. 55 2004 Topological lower bounds for the chromatic number: a hierarchy. Zbl 1063.05047 Matoušek, Jiří; Ziegler, Günter M. 32 2004 Kissing numbers, sphere packings, and some unexpected proofs. Zbl 1168.52305 Pfender, Florian; Ziegler, Günter M. 25 2004 The \(E_t\)-construction for lattices, spheres and polytopes. Zbl 1109.52009 Paffenholz, Andreas; Ziegler, Günter M. 13 2004 Projected products of polygons. Zbl 1068.52014 Ziegler, Günter M. 12 2004 Many triangulated 3-spheres. Zbl 1062.52011 Pfeifle, Julian; Ziegler, Günter M. 12 2004 Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds. Zbl 1110.52015 Schwartz, Alexander; Ziegler, Günter M. 7 2004 On the monotone upper bound problem. Zbl 1068.52019 Pfeifle, Julian; Ziegler, Günter M. 7 2004 Convex hulls, oracles, and homology. Zbl 1121.52030 Joswig, Michael; Ziegler, Günter M. 6 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 Proofs from THE BOOK. Transl. from the English. 2nd ed. (Das BUCH der Beweise.) Zbl 1038.00001 Aigner, Martin; Ziegler, Günter M. 2 2004 Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1024.52001 Grünbaum, Branko 215 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 165 2003 Fat 4-polytopes and fatter 3-spheres. Zbl 1045.52006 Eppstein, David; Kuperberg, Greg; Ziegler, Günter M. 15 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. 58 2002 Face numbers of 4-polytopes and 3-spheres. Zbl 1006.52006 Ziegler, Günter M. 12 2002 On orbit configuration spaces of spheres. Zbl 0992.55017 Feichtner, Eva Maria; Ziegler, Günter M. 9 2002 ...and 71 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,433 Authors 68 Ziegler, Günter Matthias 32 Santos, Francisco 29 Živaljević, Rade T. 27 Pilaud, Vincent 26 Blagojević, Pavle V. 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Symmetry, Integrability and Geometry: Methods and Applications 5 Russian Mathematical Surveys 5 Journal of Geometry and Physics 5 Canadian Journal of Mathematics 5 Duke Mathematical Journal 5 Inventiones Mathematicae 5 Journal of Computational and Applied Mathematics 5 Journal of Computer and System Sciences 5 Osaka Journal of Mathematics 5 Transactions of the Moscow Mathematical Society 5 Mathematical Social Sciences ...and 363 more Serials all top 5 Cited in 60 Fields 1,348 Convex and discrete geometry (52-XX) 1,119 Combinatorics (05-XX) 369 Algebraic geometry (14-XX) 297 Computer science (68-XX) 284 Operations research, mathematical programming (90-XX) 219 Commutative algebra (13-XX) 214 Algebraic topology (55-XX) 212 Manifolds and cell complexes (57-XX) 171 Group theory and generalizations (20-XX) 154 Order, lattices, ordered algebraic structures (06-XX) 141 Number theory (11-XX) 131 Geometry (51-XX) 86 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 81 Probability theory and stochastic processes (60-XX) 76 Linear and multilinear algebra; matrix theory (15-XX) 76 Several complex variables and analytic spaces (32-XX) 76 Numerical analysis (65-XX) 60 Differential geometry (53-XX) 58 Associative rings and algebras (16-XX) 55 Quantum theory (81-XX) 50 Statistics (62-XX) 39 Biology and other natural sciences (92-XX) 37 Systems theory; control (93-XX) 33 Global analysis, analysis on manifolds (58-XX) 32 Information and communication theory, circuits (94-XX) 31 General topology (54-XX) 26 Nonassociative rings and algebras (17-XX) 26 Dynamical systems and ergodic theory (37-XX) 25 Statistical mechanics, structure of matter (82-XX) 24 General and overarching topics; collections (00-XX) 24 Mathematical logic and foundations (03-XX) 23 Category theory; homological algebra (18-XX) 22 Real functions (26-XX) 21 History and biography (01-XX) 20 Functional analysis (46-XX) 19 Special functions (33-XX) 19 Operator theory (47-XX) 18 Measure and integration (28-XX) 17 Field theory and polynomials (12-XX) 16 Approximations and expansions (41-XX) 14 Ordinary differential equations (34-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Partial differential equations (35-XX) 12 Relativity and gravitational theory (83-XX) 11 Functions of a complex variable (30-XX) 10 \(K\)-theory (19-XX) 9 Difference and functional equations (39-XX) 8 Topological groups, Lie groups (22-XX) 7 Mechanics of particles and systems (70-XX) 5 Sequences, series, summability (40-XX) 5 Abstract harmonic analysis (43-XX) 5 Mathematics education (97-XX) 4 General algebraic systems (08-XX) 4 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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