Preprints
| Focus Area 1 | Focus Area 2 | Focus Area 3 |
Focus Area 1: High-complexity Geometry
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Tobias Friedl Divisors on Projective Hibi Varieties Preprint: arXiv:1506.02407, 8 Jun 2015, 6 pages |
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Katharina Jochemko, Raman Sanyal Combinatorial positivity of translation-invariant valuations Preprint: arXiv:1505.07440, 27 May 2015, 23 pages |
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Francesco Grande, Raman Sanyal Theta rank, levelness, and matroid minors Preprint: arXiv:1408.1262 , 6 Aug 2014, 18 pages |
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Karim Adiprasito, Raman Sanyal Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums Preprint: arXiv:1405.7368 , 28 May 2014, 49 pages |
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Franz Király, Martin Kreuzer, Louis Theran Dual-to-kernel learning with ideals Preprint: arXiv1:402.0099, 1 Feb 2014, 15 pages |
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Franz J. Király, Louis Theran Coherence and sufficient sampling densities for reconstruction in compressed sensing Preprint: arXiv:1302.2767, 12 Feb 2013, 16 pages |
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Franz J. Király, Zvi Rosen, Louis Theran Algebraic matroids with graph symmetry Preprint: arXiv:1312.3777, 13 Dec 2013 |
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James Farre, Audrey Lee-St.John, Jessica Sidman, Louis Theran Special positions of body-and-cad frameworks Preprint: arXiv:1306.1572, 6 Jun 2013, 27 pages |
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Dirk Frettlöh Highly symmetric fundamental cells for lattices in R^2 and R^3 Preprint: arXiv:1305.1798, 8 May 2013, 14 pages |
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Karim Adiprasito, Raman Sanyal An Alexander-type duality for valuations Preprint: arXiv:1303.1708, 7 May 2013, 14 pages |
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Justin Malestein, Louis Theran Frameworks with forced symmetry I: Reflections and rotations Preprint: arXiv:1304.0398, 1 Apr 2013, 23 pages |
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Anton Dochtermann, Raman Sanyal Laplacian ideals, arrangements, and resolutions Preprint: arXiv:0910.4987, 26 Dec 2012, 18 pages |
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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 |
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Franz Kiraly, Louis Theran, Ryota Tomioka, Takeaki Uno The Algebraic Combinatorial Approach for Low-Rank Matrix Completion Preprint: arXiv:1211.4116, 17 Nov 2 2012, 102 pages |
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Louis Theran Henneberg constructions and covers of cone-Laman graphs Preprint: arXiv:1204.0503, 2 Apr 2012, 14 pages |
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Justin Malestein, Louis Theran Generic rigidity of reflection frameworks and sparse colored graphs Preprint: arXiv:11203.0772, 4 Mar 2012, 21 pages |
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Justin Malestein, Louis Theran Generic rigidity of reflection frameworks Preprint: arXiv:1203.2276, 10 Mar 2012, 14 pages |
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Justin Malestein, Louis Theran Preprint: arXiv:1108.2518, 11 Aug 2011, 70 pages |
Focus Area 2: Delaunay Geometry
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Ivan Izmestiev, François Fillastre, Giona Veronelli Hyperbolization of cusps with convex boundary Preprint: arXiv:1505.04412, 17 May 2015, 17 pages |
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Ivan Izmestiev Preprint: arXiv:1503.00605, 2 Mar 2015, 8 pages |
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Ivan Izmestiev A general discrete Wirtinger inequality and spectra of discrete Laplacians on the circle Preprint: arXiv:1502.03186, 11 Feb 2015, 13 pages |
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Ivan Izmestiev Deformation of quadrilaterals and addition on elliptic curves Preprint: arXiv:1501.07157, 28 Jan 2015, 39 pages |
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Ivan Izmestiev Classification of flexible Kokotsakis polyhedra with quadrangular Preprint: arXiv:1411.0289, 2 Nov 2014, 76 pages |
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Ivan Izmestiev A simple proof of an isoperimetric inequality for euclidean and hyperbolic cone-surfaces Preprint: arXiv:1409.7681, 26 Sep 2014, 7 pages |
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Ivan Izmestiev, François Fillastre Shapes of polyhedra, mixed volumes, and hyperbolic geometry Preprint: arXiv:1310.1560, 6 Oct 2013, 56 pages |
Focus Area 3: Topological connectivity and diameter of Discrete Structures
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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 |
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Karim Adiprasito, Bruno Benedetti Tight complexes in 3-space admit perfect discrete Morse functions Preprint: arXiv:1202.3390, 15 Feb 2013, 13 pages |
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Karim Adiprasito, Bruno Benedetti Metric geometry, convexity and collapsibility Preprint: arXiv:1107.5789, 28 Jul 2011, 26 pages |
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Bruno Benedetti Discrete Morse Theory is at least as perfect as Morse Theory Preprint: arXiv:1010.0548, 4 Oct 2010, 17 pages |