math_groups_discgeom

Publications

 

Publications

 

Preprints

Focus Area 1: High-complexity Geometry

Generic rigidity of frameworks with orientation-preserving crystallographic symmetry

http://arxiv.org/abs/1108.2518
Justin Malestein, Louis Theran
Preprint August 2010, Revised February 2012, 70 pages

Topological designs

http://arxiv.org/abs/1008.1837
Justin Malestein, Louis Theran
Preprint August 2010, Revised and submitted May 2012, 60 pages

Many non-equivalent realizations of the associahedron

http://arxiv.org/abs/1109.5544
Cesar Ceballos, Francisco Santos, Günter M. Ziegler
Preprint September 2011, 28 pages

Face numbers of centrally symmetric polytopes from split graphs

http://arxiv.org/abs/1201.5790
Ragnar Freij, Matthias Henze, Moritz W. Schmitt, Günter M. Ziegler
Preprint, January 2012, 10 pages

Generic rigidity of reflection frameworks

http://arxiv.org/abs/1203.0772
Justin Malestein, Louis Theran
Preprint, March 2012, 21 pages

Generic rigidity with forced symmetry and sparse colored graphs

http://arxiv.org/abs/1203.2276"
Justin Malestein, Louis Theran
Preprint, March 2012, 14 pages

Henneberg constructions and covers of cone-Laman graphs

http://arxiv.org/abs/1204.0503
Louis Theran
Preprint, April 2012, 14 pages

Arithmetic of marked poset polytopes, monotone triangle reciprocity,and partial colorings

http://arxiv.org/abs/1206.4066
Katharina Jochemko, Raman Sanyal
Preprint, June 2012, 16 pages

Smooth hyperbolicity cones are spectrahedral shadows

http://arxiv.org/abs/1208.0441
Tim Netzer, Raman Sanyal
Preprint, August 2012, 8 pages

The algebraic combinatorial approach for low-rank matrix completion

http://arxiv.org/abs/1211.4116
Franz Kiraly, Louis Theran, Ryota Tomioka, Takeaki Uno
Preprint, November 2012, 79 pages

Laplacian ideals, arrangements, and resolutions

http://arxiv.org/abs/1212.6244
Anton Dochtermann, Raman Sanyal
Preprint, December 2012, 18 pages

Many polytopes with low-dimensional realization space

http://arxiv.org/abs/1212.5812

Karim Adiprasito, Günter M. Ziegler
Preprint, December 2012, 37 pages

 

Focus Area 3: Topological connectivity and diameter of Discrete Structures

Discrete Morse Theory is at least as perfect as Morse Theory

http://arxiv.org/pdf/1010.0548
Bruno Benedetti
Preprint, October. 2010, revised January 2012, 17 pages, submitted

Metric geometry and collapsibility

http://arxiv.org/abs/1107.5789
Karim Adiprasito, Bruno Benedetti
Preprint, July 2011, revised January 2012, submitted

Tight complexes in 3-space admit perfect discrete Morse functions

http://arxiv.org/abs/1202.3390
Karim Adiprasito, Bruno Benedetti
Preprint, February 2012, revised April 2012

Equivariant topology of configuration spaces

http://arxiv.org/abs/1207.2852
Pavle V. M. Blagojević, Wolfgang Lück, Günter M. Ziegler
Preprint, July 2012, 40 pages

The Schwarz genus of the Stiefel manifold and counting geometric configurations

http://arxiv.org/pdf/1211.5003v1.pdf
Pavle Blagojević, Roman Karasev
Preprint, November 2012, 7 pages

 

 

Published

Focus Area 1: High-complexity Geometry

Generic combinatorial rigidity of periodic frameworks

http://arxiv.org/abs/1008.3710
Justin Malestein, Igor Rivin, Louis Theran
Advances in Mathematics, to appear

Realizing the associahedron: Mysteries and questions

http://arxiv.org/abs/1110.4059
Cesar Ceballos, Günter M. Ziegler
“Associahedra, Tamari Lattices and Related Structures”,  Tamari Memorial Festschrift
Progress in Mathematics, Vol. 299, Springer Basel 2012, 119-127;

Selfdual substitutions in dimension One

http://arxiv.org/pdf/1108.5053v2
Valérie Berthé, Dirk Frettlöh, Victor Sirvent
European Journal of Combinatorics 33 (2012) 981-1000

Perfect colourings of cyclotomic integers

http://arxiv.org/abs/0905.4048
E. Paulo Bugarin, M. Louise A.N. de las Penas, Dirk Frettlöh
Geometriae Didacta 162 (2013) 271-282

Foldable triangulations of lattice Polygons

http://arxiv.org/abs/1207.6865
Michael Joswig, Günter M. Ziegler
American Math. Monthly, to appear

Parallelogram tilings, worms and finite orientations

http://arxiv.org/abs/1202.4686
Dirk Frettlöh, Edmund Harriss
Discrete Computational Geometry, to appear

Infinitesimal rigidity of smooth convex surfaces through the second derivative of the Hilbert-Einstein functional

http://arxiv.org/abs/1105.5067
Ivan Izmestiev
Dissertationes Math., to appear

 

Focus Area 2: Delaunay Geometry

Optimal elliptic Sobolev regularity near three-dimensional, multi-material Neumann vertices

Robert Haller-Dintelmann, Wolfgang Höppner, Hans-Christoph Kaiser, Joachim Rehberg, Günter M. Ziegler
Functional Analysis and its Applications, to appear

Inscribable stacked polytopes

http://arxiv.org/abs/1111.5322
Bernd Gonska, Günter M. Ziegler
Advances in Geometry, to appear

 

Focus Area 3: Topological connectivity and diameter of Discrete Structures

On locally constructible spheres and balls

Bruno Benedetti, Günter M. Ziegler
Acta Mathematica 206 (2011), 205-243

Spectral sequences in combinatorial geometry: Cheeses, inscribed sets, and Borsuk–Ulam type theorems

Pavle V. M. Blagojevic, Aleksandra Dimitrijevic Blagojevic, John McCleary
Topology and its Applications 158 (2011), 1920-1936

A tight colored Tverberg theorem for maps to manifolds (extended abstract)

Pavle V. M. Blagojević, Benjamin Matschke, Günter M. Ziegler
In Proc. FPSAC 2011 (Reykjavík, Iceland), 
Discrete Mathematics and Theoretical Computer Science (DMTCS), Vol. AO,
http://www.dmtcs.org, page 183–190, 2011.

A tight colored Tverberg theorem for maps to manifolds

http://arxiv.org/abs/1107.1904
Pavle V. M. Blagojević, Benjamin Matschke, Günter M. Ziegler
Topology and its Applications 158 (2011), 1445–1452.
http://www.sciencedirect.com/science/article/pii/S0166864111001635

Optimal bounds for a colorful Tverberg-Vrecica type problem

http://arxiv.org/abs/0911.2692
Pavle Blagojević, Benjamin Matschke, Günter M. Ziegler
Advances in Math. 226 (2011), 5198-5215

Turán numbers for K(s,t)-free graphs: topological obstructions and algebraic constructions

http://arxiv.org/abs/1108.5254
Pavle Blagojević, Boris Bukh, Roman Karasev
Israel Journal of Mathematics (2013)

DOI: 10.1007/s11856-012-0184-z
http://link.springer.com/article/10.1007/s11856-012-0184-z

Functions, measures, and equipartitioning convex k-fans

Imre Barany, Pavle Blagojevic, Aleksandra Dimitrijevic Blagojevic
Discrete and Computational Geometry, to appear

A problem related to Barany-Grünbaum conjecture

Pavle Blagojevic, Aleksandra Dimitrijevic Blagojevic

Filomat 27:1 (2013), 103-107

http://www.pmf.ni.ac.rs/pmf/publikacije/filomat/2013/27-1/27-1-2012-contents.htm

Convex equipartitions via equivariant obstruction theory

http://arxiv.org/abs/1202.5504
Pavle V. M. Blagojević, Günter M. Ziegler
Israel J. Math, to appear

Discrete Morse Theory  for manifolds with boundary

http://arxiv.org/pdf/1007.3175
Bruno Benedetti
Transactions of the AMS 364 (2012), 6631-6670

Extensions of theorems of Rattray and Makeev

http://arxiv.org/pdf/1011.0869
Pavle V. M. Blagojevic, Roman Karasev
Topological Methods in Nonlinear Analysis, Vol. 40, No. 1, 2012, 189-214

http://www.tmna.ncu.pl/htmls/archives/vol-40-1.html

The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes

Pavle V.M. Blagojević, Günter M. Ziegler
Topology and its Applications 158 (2011) 1326–1351

Turán numbers for K(s,t)-free graphs: topological obstructions and algebraic constructions

Pavle Blagojević, Boris Bukh, Roman Karasev
Electronic Notes in Discrete Mathematics 38 (2011) 141-145
The Sixth European Conference on Combinatorics, Graph Theory and
Applications, EuroComb 2011

The Bárány–Larman conjecture and the colored Tverberg theorems

Pavle V.M. Blagojević, Benjamin Matschke, Günter M. Ziegler
Mathematisches Forschungsinstitut Oberwolfach, Topological and Geometric
Combinatorics, Report No. 08/2011, pages 358-361

DOI: 10.4171/OWR/2011/08