Published
| Focus Area 1 | Focus Area 2 | Focus Area 3 |
Focus Area 1: High-complexity Geometry
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Karim Adiprasito, Raman Sanyal An Alexander-type duality for valuations Preprint: arXiv:1303.1708, 7 May 2013, 14 pages Published in: Proc. Amer. Math. Soc. 143 (2015), no. 2, 833–843. |
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Karim Adiprasito, Günter M. Ziegler Many projectively unique polytopes Preprint: arXiv:1212.5812, 23 Dec 2012, 44 pages Published in: Inventiones math. 199 (2015), 581-652. |
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Anton Dochtermann, Raman Sanyal Laplacian ideals, arrangements, and resolutions Preprint: arXiv:0910.4987, 26 Dec 2012, 18 pages Published in: J. Algebraic Combin. 40 (2014), no. 3, 805–822. |
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Katharina Jochemko, Raman Sanyal Arithmetic of marked poset polytopes, monotone triangle reciprocity,and partial colorings Preprint: arXiv:1206.4066, 18 Jun 2012, 16 pages Published in: SIAM J. Discrete Math. 28 (2014), no. 3, 1540–1558. |
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Andreas Loos, Günter M. Ziegler Teaching and Learning "What is Mathematics" Published in: Proc. International Congress of Mathematicians, Seoul 2014, Volume IV, 1201-1215 |
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Michael Joswig, Günter M. Ziegler Foldable triangulations of lattice Polygons Preprint: arXiv:1207.6865, 30 Jul 2012, 6 pages Published in: American Math. Monthly, Volume 121 (Oct 2014), 706-710 |
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Justin Malestein, Louis Theran Frameworks with forced symmetry II: Orientation-preserving crystallographic groups Preprint: arXiv:1304.0756, 1 Apr 2013, 46 pages Published in: Geometriae Dedicata June 2014, Volume 170, Issue 1, pp 219-262 |
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Justin Malestein, Igor Rivin, Louis Theran Preprint: arXiv:1101.1008.1837, 11 Aug 2010, 61 pages Published in: Geometriae Dedicata, February 2014, Volume 168, Issue 1, pp 221-233 |
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Tim Netzer, Raman Sanyal Smooth Hyperbolicity Cones are Spectrahedral Shadows Preprint: arXiv:1208.0441, 2 Aug 2012, 8 pages Published in: Mathematical Programming, Feb 2014 |
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Dirk Frettlöh, Edmund Harriss Parallelogram tilings, worms and finite orientations Preprint: arXiv:1202.4686, 21 Feb 2012 Published in: Discrete & Computational Geometry, April 2013, Volume 49, Issue 3, pp 531-539 |
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E. Paulo Bugarin, M. Louise A.N. de las Penas, Dirk Frettlöh Perfect colourings of cyclotomic integers Preprint: arXiv: 0905.4048, 25 May 2009, 11 pages Published in: Geometriae Dedicata 162 (2013) 271-282 |
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Justin Malestein, Louis Theran Generic combinatorial rigidity of periodic frameworks Preprint: arXiv: 1008.1837, 11 Aug 2010, 61 pages Published in: Advances in Mathematics, 233(1), 291–331, 2013 |
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Ragnar Freij, Matthias Henze, Moritz W. Schmitt, Günter M. Ziegler Face numbers of centrally symmetric polytopes from split graphs Preprint: arXiv:1201.5790, 27 Jan 2012, 10 pages Published in: Electronic J. Combinatorics, vol 20 (2) (2013) |
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Cesar Ceballos, Günter M. Ziegler Realizing the associahedron: Mysteries and questions Preprint: arXiv:1110.4059, 18 Oct 2011, 9 pages Published in: “Associahedra, Tamari Lattices and Related Structures”, Tamari Memorial Festschrift Progress in Mathematics, Vol. 299, Springer Basel 2012, 119-127; |
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Valérie Berthé, Dirk Frettlöh, Victor Sirvent Selfdual substitutions in dimension One Preprint: arXiv:1108.5053v2, 25 Aug 2011, 28 pages Published in: European Journal of Combinatorics 33 (2012) 981-1000. |
Focus Area 2: Delaunay Geometry
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Ivan Izmestiev A porism for cyclic quadrilaterals, butterfly theorems, and hyperbolic geometry. Preprint: arXiv:1408.2247 10 Aug 2014, 9 pages Published in: To appear in Amer. Math. Montly, 9 pages. |
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Karim Adiprasito, Ivan Izmestiev Derived subdivisions make every PL sphere polytopal Preprint: arXiv:1311.2965, 12 Nov 2013, 7 pages Published in: To appear in Israel J. Math. |
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Ivan Izmestiev Preprint: arXiv:1105.5066 25 May 2011, 42 pages Published in: In Canad. J. Math., 66(4):783--825, 2014. |
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Robert Haller-Dintelmann, Wolfgang Höppner, Hans-Christoph Kaiser, Joachim Rehberg, Günter M. Ziegler Optimal elliptic Sobolev regularity near three-dimensional, multi-material Neumann vertices Preprint: opus4-matheon Published in: Functional Analysis Applications, Volume 48 (2014), 208-222 |
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Tuan Tran, Günter M. Ziegler Preprint: arXiv:1307.6708, 25 Jul 2013, 18 pages Published in: Electronic J. Combinatorics, vol 21 (2) (2014) |
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Bernd Gonska, Günter M. Ziegler Preprint: arXiv:1111.5322, 22 Nov 2011, 15 pages Published in: Advances in Geometry, Volume 13, Issue 4 (October 2013) |
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Ivan Izmestiev, Rob Kusner, Günter Rote, Boris Springborn, John M. Sullivan There is no triangulation of the torus with vertex degrees 5, 6, ..., 6, 7 and related results: Geometric proofs for combinatorial theorems Preprint: arXiv:1207.3605, 16 Jul 2012, 14 pages Published in: Geom. Dedicata, 166 (2013), 15-29 |
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Ivan Izmestiev Preprint: arXiv:1105.5067, 25 May 2011, 60 pages Published in: Dissertationes Math., 492 (2013), 58 pp. |
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Ivan Izmestiev Variational properties of the discrete Hilbert-Einstein functional. Preprint: arXiv:1312.6314 21 Dec 2013, 10 pages Published in: Actes des rencontres du CIRM, 3(1):151--157, 2013. |
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Francisco Santos, Günter M. Ziegler Unimodular triangulations of dilated 3-polytopes Preprint: arXiv:1304.7296, 26 Apr 2013, 23 pages Published in: Transactions Moscow Math. Soc. 74 (2013), 293-311 |
Focus Area 3: Topological connectivity and diameter of Discrete Structures
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Pavle V. M. Blagojević, Wolfgang Lück, Günter M. Ziegler Preprint: arXiv:1305.7483, 3 Sep 2014, 20 pages Proc. "Combinatorial Methods in Topology and Algebra", to appear |
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Pavle V. M. Blagojević, Benjamin Matschke, Günter M. Ziegler Optimal bounds for the colored Tverberg problem Preprint: arXiv:0910.4987, 26 Oct 2009, 11 pages Published in: Journal of Topology, Online Publication (March 2015) |
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Pavle V. M. Blagojević, Wolfgang Lück, Günter M. Ziegler Equivariant topology of configuration spaces Preprint: arXiv:1207.2852, 12 Jun 2012, 40 pages Published in: Journal of Topology, Online Publication (March 2015) |
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Günter M. Ziegler Published in: Newsletter of the European Math. Soc., Issue 95 (March 2015), 25-31 |
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Pavle V. M. Blagojević, Florian Frick, Albert Haase, Günter M. Ziegler Topology of the Grünbaum-Hadwiger-Ramos hyperplane mass partition problem Preprint: arXiv:1502.02975 , 10 Feb 2015, 27 pages Published in: Oberwolfach Reports, Volume 11, Issue 1 (2015) |
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Pavle Blagojević, Florian Frick, Benjamin Matschke, Günter M. Ziegler Tight and non-tight topological Tverberg type theorems Oberwolfach Reports, Volume 11, Issue 3 (2014), to appear |
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Pavle Blagojević, Florian Frick, Günter M. Ziegler Preprint: arXiv:1401.0690, 3 Jan 2014, 11 pages Published in: Bulletin of the London Mathematical Society, Volume 46 (2014), 953-967 |
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Pavle V. M. Blagojević, Günter M. Ziegler Convex equipartitions via equivariant obstruction theory Preprint: arXiv:1202.5504, 24 Feb 2012, 20 pages Published in: Israel J. Mathematics, Volume 200 (2014), 49-77 |
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Pavle Blagojević, Aleksandra Dimitrijević Blagojević, Ljubiša Kočinac On diagonal resolvable spheres Published in: Topology and its Applications, 160 (2013), 2335–2339 |
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Pavle Blagojević, Roman Karasev The Schwarz genus of the Stiefel manifold and counting geometric configurations Preprint: arXiv:1211.5003v1, 21 Nov 2012 Published in: Topology and its Applications, Volume 160, Issue 18, 1 December 2013, Pages 2335–2339 |
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Raman Sanyal, Bernd Sturmfels, Cynthia Vinzant Published in: Advances in Mathematics, Volume 244, 10 September 2013, Pages 678–707 |
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Pavle Blagojević, Aleksandra Dimitrijević Blagojević A problem related to Barany-Grünbaum conjecture Published in: Filomat 27:1 (2013), 103-107 |
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Pavle Blagojević, Boris Bukh, Roman Karasev Preprint: arXiv:1108.5254 21 Feb 2012 Published in: Electronic Notes in Discrete Mathematics, 38 (2011) 141-145, The Sixth European Conference on Combinatorics, Graph Theory and Applications, EuroComb 2011 |
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Imre Bárány, Pavle Blagojević, Aleksandra Dimitrijević Blagojević Functions, measures, and equipartitioning convex k-fans Published in: Discrete & Computational Geometry, March 2013, Volume 49, Issue 2, pp 382-401 |
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Pavle Blagojević, Roman Karasev Extensions of theorems of Rattray and Makeev Preprint: arXiv:1011.0869, 3 Nov 2010 Published in: Topological Methods in Nonlinear Analysis, Vol. 40, No. 1, 2012, 189-214 |
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Bruno Benedetti Discrete Morse Theory for manifolds with boundary Preprint: arXiv:1007.3175, 19 Jul 2010, 33 pages Published in: Transactions of the AMS 364 (2012), 6631-6670 |
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Pavle Blagojević, Aleksandra Dimitrijević Blagojević,John McCleary Spectral sequences in combinatorial geometry: Cheeses, inscribed sets, and Borsuk–Ulam type theorems Published in: Topology and its Applications, Volume 158, Issue 15, 15 September 2011, Pages 1920–1936 |
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Pavle V.M. Blagojević, Benjamin Matschke, Günter M. Ziegler The Bárány–Larman conjecture and the colored Tverberg theorems Published in: Mathematisches Forschungsinstitut Oberwolfach, Topological and Geometric Combinatorics, Report No. 08/2011, pages 358-361 |
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Pavle V. M. Blagojević, Benjamin Matschke, Günter M. Ziegler A tight colored Tverberg theorem for maps to manifolds (extended abstract) Published in: in Proc. FPSAC 2011 (Reykjavík, Iceland), Discrete Mathematics and Theoretical Computer Science (DMTCS), Vol. AO, http://www.dmtcs.org, page 183–190, 2011 |
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Pavle Blagojević, Günter M. Ziegler The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes Published in: Topology and its Applications, Volume 158, Issue 12, 1 August 2011, Pages 1326–1351 |
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Bruno Benedetti, Günter M. Ziegler On locally constructible spheres and balls Published in: Acta Mathematica, June 2011, Volume 206, Issue 2, pp 205-243 |
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Pavle Blagojević, Benjamin Matschke, Günter M. Ziegler Optimal bounds for a colorful Tverberg-Vrecica type problem Preprint: arXiv:0911.2692, 13 Nov 2009, 12 pages Published in: Advances in Mathematics, Volume 226, Issue 6, 1 April 2011, Pages 5198–5215 |
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Pavle V. M. Blagojević, Benjamin Matschke, Günter M. Ziegler A tight colored Tverberg theorem for maps to manifolds Published in: Topology and its Applications, Volume 158, Issue 12, 1 August 2011, Pages 1445–1452 |
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Pavle Blagojević, Boris Bukh, Roman Karasev Turán numbers for K(s,t)-free graphs: topological obstructions and algebraic constructions Preprint: arXiv:11108.5254, 26 Aug 2011 Published in: Israel Journal of Mathematics, October 2013, Volume 197, Issue 1, pp 199-214 |