Focus Area 1 Focus Area 2 Focus Area 3

Focus Area 1: High-complexity Geometry

Tobias Friedl

Divisors on Projective Hibi Varieties

Preprint: arXiv:1506.02407, 8 Jun 2015, 6 pages                                                                                                                     

Katharina Jochemko, Raman Sanyal

Combinatorial positivity of translation-invariant valuations      

Preprint: arXiv:1505.07440, 27 May 2015, 23 pages                                                                                                                

Francesco Grande, Raman Sanyal

Theta rank, levelness, and matroid minors

Preprint: arXiv:1408.1262 , 6 Aug 2014, 18 pages                                                                                                                   

Karim Adiprasito, Raman Sanyal

Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums

Preprint: arXiv:1405.7368 , 28 May 2014, 49 pages                                                                                                                     

Franz Király, Martin Kreuzer, Louis Theran

Dual-to-kernel learning with ideals

Preprint: arXiv1:402.0099, 1 Feb 2014, 15 pages

Franz J. Király, Louis Theran

Coherence and sufficient sampling densities for reconstruction in compressed sensing

Preprint: arXiv:1302.2767, 12 Feb 2013, 16 pages

Franz J. Király, Zvi Rosen, Louis Theran

Algebraic matroids with graph symmetry

Preprint: arXiv:1312.3777, 13 Dec 2013

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

Dirk Frettlöh

Highly symmetric fundamental cells for lattices in R^2 and R^3

Preprint: arXiv:1305.1798, 8 May 2013, 14 pages

Louis Theran

Henneberg constructions and covers of cone-Laman graphs

Preprint: arXiv:1204.0503, 2 Apr 2012, 14 pages

Justin Malestein, Louis Theran

Frameworks with forced symmetry I: Reflections and rotations

Preprint: arXiv:1304.0398, 1 Apr 2013, 23 pages

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

Justin Malestein, Louis Theran

Generic rigidity of reflection frameworks and sparse colored graphs

Preprint: arXiv:11203.0772, 4 Mar 2012, 21 pages

Justin Malestein, Louis Theran

Generic rigidity of reflection frameworks

Preprint: arXiv:1203.2276, 10 Mar 2012, 14 pages

Justin Malestein, Louis Theran

Generic rigidity of frameworks with orientation-preserving crystallographic symmetry (results appeared as part of "Frameworks with forced symmetry II", 2013)

Preprint: arXiv:1108.2518, 11 Aug 2011, 70 pages

Focus Area 2: Delaunay Geometry

Ivan Izmestiev, François Fillastre, Giona Veronelli

Hyperbolization of cusps with convex boundary                                         

Preprint: arXiv:1505.04412, 17 May 2015, 17 pages                                                                                                                

Ivan Izmestiev

Color or cover

Preprint: arXiv:1503.00605, 2 Mar 2015, 8 pages                                                                                                                     

Ivan Izmestiev

A general discrete Wirtinger inequality and spectra of discrete  Laplacians on the circle                  

Preprint: arXiv:1502.03186, 11 Feb 2015, 13 pages                                                                                                                 

Ivan Izmestiev

Deformation of quadrilaterals and addition on elliptic curves                                                                                   

Preprint: arXiv:1501.07157, 28 Jan 2015, 39 pages                                                                                                                 

Ivan Izmestiev

Classification of flexible Kokotsakis polyhedra with quadrangular

Preprint: arXiv:1411.0289, 2 Nov 2014, 76 pages                                                                                                                    

Ivan Izmestiev

A simple proof of an isoperimetric inequality for euclidean and  hyperbolic cone-surfaces

Preprint: arXiv:1409.7681, 26 Sep 2014, 7 pages                                                                                                                    

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

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       

Karim Adiprasito, Bruno Benedetti

Tight complexes in 3-space admit perfect discrete Morse functions

Preprint: arXiv:1202.3390, 15 Feb 2013, 13 pages

 Karim Adiprasito, Bruno Benedetti

Metric geometry, convexity and collapsibility

Preprint: arXiv:1107.5789, 28 Jul 2011, 26 pages                                                                                                                    

Bruno Benedetti

Discrete Morse Theory is at least as perfect as Morse Theory                                                                                           

Preprint: arXiv:1010.0548, 4 Oct 2010, 17 pages