Publications

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, vol. 114, no. 3 (2020), #136, arxiv:1804.05009, SharedIt link

[J17]

On compact representations of Voronoi cells of lattices

Christoph Hunkenschröder, Gina Reuland and Matthias Schymura

Mathematical Programming, vol. 183 (2020), pp. 337-358, arxiv:1811.08532, SharedIt link

[J16]

A note on discrete lattice-periodic sets with an application to Archimedean tilings

Matthias Schymura and Liping Yuan

Beiträge zur Algebra und Geometrie, vol. 60, no. 4 (2019), pp. 749-759, arxiv:1710.02552, SharedIt link

[J15]

Lonely Runner Polyhedra

Matthias Beck, Serkan Hoşten, and Matthias Schymura

Integers, vol. 19 (2019), #A29, 13 pp., arxiv:1606.01783

[J14]

Der einsame Läufer

Matthias Schymura and Jörg M. Wills

Mitteilungen der Deutschen Mathematiker-Vereinigung, vol. 26, no. 1 (2018), pp. 14-17

[J13]

On densities of lattice arrangements intersecting every i-dimensional affine subspace

Bernardo González Merino and Matthias Schymura

Discrete and Computational Geometry, vol. 58, no. 3 (2017), pp. 663-685, arxiv:1605.00443, SharedIt link

[J12]

Tight bounds on discrete quantitative Helly numbers

Gennadiy Averkov, Bernardo González Merino, Ingo Paschke, Matthias Schymura and Stefan Weltge

Advances in Applied Mathematics, vol. 89 (2017), pp. 76-101, arxiv:1602.07839

[J11]

On the covering radius of lattice zonotopes and its relation to view-obstructions and the lonely runner conjecture

Matthias Henze and Romanos Diogenes Malikiosis

Aequationes Mathematicae, vol. 91, no. 2 (2017), pp. 331-352, arxiv:1609.01939, SharedIt link

[J10]

Partial-Matching RMS-Distance Under Translation: Combinatorics and Algorithms

Rinat Ben-Avraham, Matthias Henze, Rafel Jaume, Balázs Keszegh, Orit E. Raz, Micha Sharir, and Igor Tubis

Algorithmica, vol. 80, no. 8 (2018), pp. 2400-2421, arxiv:1411.7273, SharedIt link

[J9]

A generalization of the discrete version of Minkowski's fundamental theorem

Bernardo González Merino and Matthias Henze

Mathematika, vol. 62, no. 3 (2016), pp. 637-652, arxiv:1412.3315

[J8]

Variations of Minkowski's theorem on successive minima

Martin Henk, Matthias Henze, and María A. Hernández Cifre

Forum Mathematicum, vol. 28, no. 2 (2016), pp. 311-325, arxiv:1405.4993

[J7]

Bottleneck Partial-Matching Voronoi Diagrams and Applications

Matthias Henze and Rafel Jaume

Computational Geometry, vol. 51 (2016), pp. 40-54, arxiv:1405.0900

[J6]

A remark on perimeter-diameter and perimeter-circumradius inequalities under lattice constraints

Bernardo González Merino and Matthias Henze

Journal of Geometry, vol. 106, no. 1 (2015), pp. 75-83, arxiv:1310.6534

[J5]

On counterexamples to a conjecture of Wills and Ehrhart polynomials whose roots have equal real parts

Matthias Henze

Electronic Journal of Combinatorics, vol. 21, no. 1 (2014), #P1.28

[J4]

A Blichfeldt-type inequality for centrally symmetric convex bodies

Matthias Henze

Monatshefte für Mathematik, vol. 170, no. 3-4 (2013), pp. 371-379, arxiv:1203.4075

[J3]

Face numbers of centrally symmetric polytopes produced from split graphs

Ragnar Freij, Matthias Henze, Moritz W. Schmitt and Günter M. Ziegler

Electronic Journal of Combinatorics, vol. 20, no. 2 (2013), #P32

[J2]

Blichfeldt-type inequalities and central symmetry

Martin Henk, Matthias Henze, and Jörg M. Wills

Advances in Geometry, vol. 11, no. 4 (2011), pp. 731-744

[J1]

Notes on lattice points of zonotopes and lattice-face polytopes

Christian Bey, Martin Henk, Matthias Henze, and Eva Linke

Discrete Mathematics, vol. 311 (2011), pp. 634-644, arxiv:1006.5574v2

Conference Proceedings

[C6]

On the maximal number of columns of a Δ-modular matrix

Gennadiy Averkov and Matthias Schymura

IPCO 2022, Proc. 23rd Conference on Integer Programming and Combinatorial Optimization, Eindhoven, The Netherlands, LNCS Volume 13265, 2022, pp. 29-42

Best Paper Award

[C5]

Computational Aspects of Relaxation Complexity

Gennadiy Averkov, Christopher Hojny and Matthias Schymura

IPCO 2021, Proc. 22nd Conference on Integer Programming and Combinatorial Optimization, Atlanta, Georgia, USA, LNCS Volume 12707, 2021, pp. 368-382

[C4]

On compact representations of Voronoi cells of lattices

Christoph Hunkenschröder, Gina Reuland and Matthias Schymura

IPCO 2019, Proc. 20th Conference on Integer Programming and Combinatorial Optimization, Ann Arbor, Michigan, USA, LNCS Volume 11480, 2019, pp. 261-274

[C3]

Minimum Partial-Matching and Hausdorff RMS-Distance Under Translation: Combinatorics and Algorithms

Rinat Ben-Avraham, Matthias Henze, Rafel Jaume, Balázs Keszegh, Orit E. Raz, Micha Sharir, and Igor Tubis

Algorithms - ESA 2014, Proc. 22nd Annual European Symposium on Algorithms, Wrocław, Poland, LNCS Volume 8737, 2014, pp. 100-111, arxiv:1411.7273

[C2]

Bottleneck Partial-Matching Voronoi Diagrams and Applications

Matthias Henze and Rafel Jaume

Algorithms and Computation, Proc. 25th International Symposium, ISAAC 2014, Jeonju, Korea, LNCS Volume 8889, 2014, pp. 714-725

Abstracts of the 30th European Workshop on Computational Geometry (EuroCG'14), Ein-Gedi, Israel, March 2014, arxiv:1405.0900

[C1]

On the complexity of the partial least-squares matching Voronoi diagram

Matthias Henze, Rafel Jaume and Balázs Keszegh

Abstracts of the 29th European Workshop on Computational Geometry (EuroCG'13), Braunschweig, Germany, March 2013, pp. 193-196

Theses

[T3]

On Theory and Algorithms in the Geometry of Numbers, and Applications in Integer Programming

Matthias Schymura

Habilitation thesis, Brandenburgische Technische Universität Cottbus-Senftenberg, 2023

[T2]

Lattice Point Inequalities and Face Numbers of Polytopes in View of Central Symmetry

Matthias Henze

Dissertation, Otto-von-Guericke-Universität Magdeburg, 2012

[T1]

The Mahler conjecture

Matthias Henze

Diploma thesis, Otto-von-Guericke-Universität Magdeburg, 2008