[19] Minkowski chirality: a measure of reflectional asymmetry of convex bodies [ arxiv ]
joint work with Andrei Caragea, Katherina von Dichter, Kurt Klement Gottwald, Florian Grundbacher, and Mia Runge
arXiv preprint, 2025.
[18] Besov regularity of random wavelet series [ arxiv ]
joint work with Andreas Horst and Felix Voigtlaender
arXiv preprint, 2024.
[17] Universal approximation with complex-valued deep narrow neural networks [ doi | arxiv ]
joint work with Paul Geuchen and Hannes Matt
arXiv preprint, 2023, accepted for publication in Constr. Approx.
[16] Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere [ doi | arxiv ]
joint work with Frank Filbir, Ralf Hielscher, and Tino Ullrich
Appl. Comput. Harmon. Anal. 71:101651, 2024.
[15] Sampling numbers of smoothness classes via ℓ¹ -minimization [ doi | arxiv | best paper award announcement | KU Eichstätt-Ingolstadt press release | TU Chemnitz press release | Notices of the AMS ]
joint work with Tino Ullrich and Felix Voigtlaender
J. Complexity 79:101786, 2023.
[14] Coproximinality of linear subspaces in generalized Minkowski spaces [ doi | arxiv ]
joint work with Christian Richter
J. Math. Anal. Appl. 504(1):125351, 2021.
[13] On the optimal constants in the two-sided Stechkin inequalities [ doi | arxiv ]
joint work with Tino Ullrich
J. Approx. Theory 269:105607, 2021.
[12] Vertex-facet assignments for polytopes [ doi | arxiv ]
joint work with Martin Winter
Beitr. Algebra Geom. 62(1):55–63, 2021.
[11] Uniqueness of circumcenters in generalized Minkowski spaces [ doi | arxiv ]
joint work with Bernardo González Merino and Christian Richter
J. Approx. Theory 237:153–159, 2019.
[10] Orthogonality in generalized Minkowski spaces [ heldermann | arxiv ]
J. Convex Anal. 26(1):49–76, 2019.
[09] Is a complete, reduced set necessarily of constant width? [ doi | arxiv ]
joint work with René Brandenberg, Bernardo González Merino, and Horst Martini
Adv. Geom. 19(1):31–40, 2019.
[08] Hunting for reduced polytopes [ doi | arxiv | arxiv ]
joint work with Bernardo González Merino, Alexandr Polyanskii, and Gerd Wachsmuth
Discrete Comput. Geom. 60(3):801–808, 2018.
[07] Geometric algorithms for minimal enclosing discs in strictly convex normed planes [ doi | arxiv ]
Contrib. Discrete Math. 12(1):1–13, 2017.
[06] Successive radii and ball operators in generalized Minkowski spaces [ doi | arxiv ]
Adv. Geom. 17(3):347–354, 2017.
[05] Ball convex bodies in Minkowski spaces [ doi | arxiv ]
joint work with Horst Martini and Christian Richter
Pacific J. Math. 289(2):287–316, 2017.
[04] Extremal radii, diameter, and minimum width in generalized Minkowski spaces [ doi | arxiv ]
Rocky Mountain J. Math. 47(3):825–848, 2017.
[03] Bi- and multifocal curves and surfaces for gauges [ heldermann ]
joint work with Horst Martini and Christian Richter
J. Convex Anal. 23(3):733–774, 2016.
[02] On bisectors in normed planes [ doi | arxiv ]
joint work with Margarita Spirova
Contrib. Discrete Math. 10(2):1–9, 2015.
[01] Minsum location extended to gauges and to convex sets [ doi | arxiv ]
joint work with Yaakov S. Kupitz, Horst Martini, and Christian Richter
J. Optim. Theory Appl. 166(3):711–746, 2015.
[02] An Invitation to Generalized Minkowski Geometry [ qucosa-monarch | university prize press release ]
PhD Thesis, TU Chemnitz, 2019.
[01] On Minimal Enclosing Discs and Balls in Normed Planes and Spaces
Diploma thesis, TU Chemnitz, 2013.
[68] Universal approximation with complex-valued deep narrow neural networks
Research Seminar Function Spaces, FSU Jena, Germany
11.07.2025
[67] Minkowski chirality: a measure of reflectional asymmetry of convex bodies
30th SEG Workshop "Combinatorics, Graph Theory, and Algorithms", TU Chemnitz, Germany
30.06.2025
[66] Minkowski chirality
Convexity '25, University of Szeged, Hungary
31.05.2025
[65] Minkowski chirality: a measure of reflectional asymmetry of convex bodies
Research Seminar Geometry, FSU Jena, Germany
22.05.2025
[64] Besov regularity of random wavelet series
MIDS Seminar, KU Eichstätt-Ingolstadt, Germany
13.11.2024
[63] Sampling numbers of smoothness classes via ℓ¹ -minimization
Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, University of Waterloo, Canada
21.08.2024
[62] Minkowski chirality of triangles
Research Seminar Applied Geometry and Discrete Mathematics, TU Munich, Germany
30.07.2024
[61] Besov regularity of random wavelet series
International Workshop on Analysis and Theoretical Numerics, Siegmundsburg, Germany
23.07.2024
[60] Optimal containment in sparse approximation and information-based complexity
Geometrietag 2024, BTU Cottbus-Senftenberg, Germany
06.06.2024
[59] Sampling numbers of smoothness classes via ℓ¹ -minimization
WSOPT'24, Burg (Spreewald), Germany
14.03.2024
[58] Constant width, completeness, and reducedness of convex bodies
MIDS Seminar, KU Eichstätt-Ingolstadt, Germany
08.11.2023
[57] Sampling numbers of smoothness classes via ℓ¹ -minimization
International Workshop on Analysis and Theoretical Numerics, Siegmundsburg, Germany
30.08.2023
[56] Sampling numbers of smoothness classes via ℓ¹ -minimization
International Conference of Young Mathematicians, Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine/online
01.06.2023
[55] Sampling numbers of smoothness classes via ℓ¹ -minimization
International Conference on Multivariate Approximation, Rauischholzhausen, Germany
14.03.2023
[54] Sampling numbers of smoothness classes via ℓ¹ -minimization
Joint seminar of KU Eichstätt-Ingolstadt, TU Munich, and LMU Munich, Germany
19.12.2022
[53] Sampling numbers of smoothness classes via ℓ¹ -minimization
Research Seminar Analysis, TU Chemnitz, Germany
09.12.2022
[52] On the optimal constants in the two-sided Stechkin inequalities
Online Asymptotic Geometric Analysis Seminar
29.11.2022
[51] On the optimal constants in the two-sided Stechkin inequalities
MIDS Seminar, KU Eichstätt-Ingolstadt, Germany
26.10.2022
[50] Coproximinality of linear subspaces in generalized Minkowski spaces
Approximation and Geometry in High Dimensions, Banach Conference Center Będlewo, Poland
10.10.2022
[49] On the optimal constants in the two-sided Stechkin inequalities
8th German-Polish Conference on Optimization, Apolda, Germany
28.09.2022
[48] Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere
8th International Conference on Computational Harmonic Analysis, KU Eichstätt-Ingolstadt, Germany
15.09.2022
[47] Numerical Gaussian processes
Research Seminar Numerics, TU Chemnitz, Germany
06.07.2022
[46] Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere
Research Seminar Function Spaces, FSU Jena, Germany
01.07.2022
[45] On the optimal constants in the two-sided Stechkin inequalities
Curves and Surfaces, Arcachon, France
21.06.2022
[44] Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere
Nonlinear Analysis, Function Spaces, and Applications, Czech Technical University in Prague, Czech Republic
30.05.2022
[43] Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere
Seminar Applied Analysis, Osnabrück University, Germany
17.05.2022
[42] Bird flocking
Research Seminar Algorithmic and Discrete Mathematics, TU Chemnitz, Germany
01.12.2021
[41] On the optimal constants in the two-sided Stechkin inequalities
Approximation Theory and Applications, Lomonosov Moscow State University, Russia/online
10.09.2021
[40] Marcinkiewicz–Zygmund inequalities on the sphere
International Workshop on Analysis and Theoretical Numerics, Siegmundsburg, Germany
31.08.2021
[39] Explicit and implicit methods for surface reconstruction
Research Seminar Analysis, TU Chemnitz, Germany
13.01.2021
[38] On the optimal constants in the two-sided Stechkin inequalities
International Workshop on Analysis and Theoretical Numerics, Siegmundsburg, Germany
29.07.2020
[37] On the optimal constants in the two-sided Stechkin inequalities
Research Seminar Algorithmic and Discrete Mathematics, TU Chemnitz, Germany
15.07.2020
[36] A modern look at some classical inequalities
Research Seminar Analysis, TU Chemnitz, Germany
09.06.2020
[35] Apollonius characterizes Euclid
8th Thuringian Geometry Day, FSU Jena, Germany
06.12.2019
[34] Combinatorial aspects of reduced polytopes
Discrete Geometry Days2, Budapest University of Technology and Economics, Hungary.
09.07.2019
[33] What is pi?
PhD Seminar, Faculty of Mathematics, TU Chemnitz, Germany
21.05.2019
[32] An invitation to generalized Minkowski geometry
Defense of the PhD thesis, TU Chemnitz, Germany
14.02.2019
[31] Uniqueness of circumcenters in generalized Minkowski spaces
Geometrietag, TU Dresden, Germany
08.12.2018
[30] Hunting for reduced polytopes
24th SEG Workshop "Combinatorics, Graph Theory, and Algorithms", TU Bergakademie Freiberg, Germany
27.11.2018
[29] It's the small things that count
PhD Seminar, Faculty of Mathematics, TU Chemnitz, Germany
08.11.2018
[28] Geometry of minimax location problems
Research Seminar Operations Research, Financial Mathematics und Mathematical Economics, TU Chemnitz, Deutschland
12.06.2018
[27] Uniqueness of circumcenters in generalized Minkowski spaces
Research Seminar Theoretical Mathematics, Faculty of Mathematics, TU Chemnitz, Germany
28.05.2018
[26] What Wikipedia can't tell you about circumcenters
PhD Seminar, Faculty of Mathematics, TU Chemnitz, Germany
12.04.2018
[25] Hunting for reduced polytopes
Convex, Discrete and Integral Geometry, Banach Conference Center Będlewo, Poland
06.06.2017
[24] Ball convexity in Minkowski spaces
Discrete Geometry Fest, Alfréd Rényi Institute of Mathematics, Budapest, Hungary
19.05.2017
[23] Minimax-Standortoptimierung für strikt konvexe Normen
Research Seminar Operations Research, Financial Mathematics und Mathematical Economics, TU Chemnitz, Germany
17.01.2017
[22] Birkhoff orthogonality in generalized Minkowski spaces
Central European Set-Valued and Variational Analysis Meeting, FSU Jena, Germany
03.12.2016
[21] Reduced polytopes
PhD Seminar, Faculty of Mathematics, TU Chemnitz, Germany
28.11.2016
[20] Reduced polytopes
Research Seminar Approximation and Optimization, TU Chemnitz, Germany
09.11.2016
[19] How to get rid of symmetry: orthogonality notions
Discrete Geometry Days, Budapest University of Technology and Economics, Hungary
24.06.2016
[18] Orthogonality without inner products II
Research Seminar Approximation and Optimization, TU Chemnitz, Germany
01.06.2016
[17] Orthogonality without inner products
PhD Seminar, Faculty of Mathematics, TU Chemnitz, Germany
21.01.2016
[16] Orthogonality without inner products
Thüringischer Geometrietag, FSU Jena, Germany
04.12.2015
[15] Orthogonality without inner products
Research Seminar Approximation and Optimization, TU Chemnitz, Germany
04.11.2015
[14] The center problem In strictly convex planes
5th German-Russian Week of The Young Reseacher "Discrete Geometry", Moscow Institute of Physics and Technology, Dolgoprudny, Russia
08.09.2015
[13] Cassini sets in generalized Minkowski spaces
Geometry & Symmetry, University of Pannonia, Veszprém, Hungary
02.07.2015
[12] A song of praise to the Hahn–Banach theorem
PhD Seminar, Faculty of Mathematics, TU Chemnitz, Germany
16.04.2015
[11] Successive radii in generalized Minkowski spaces
Seminar Applied Geometry and Discrete Mathematics, TU Munich, Germany
19.02.2015
[10] Cassini curves: then and now
Research Seminar Approximation and Optimization, TU Chemnitz, Germany
14.01.2015
[09] Bifocal curves in generalized Minkowski planes
Sächsischer Geometrietag, TU Dresden, Germany
05.12.2014
[08] The notion of diameter in generalized Minkowski spaces
Research Seminar Geometry, TU Chemnitz, Germany
05.09.2014
[07] The Elzinga–Hearn algorithm in strictly convex planes
15th SEG Workshop "Combinatorics, Graph Theory, and Algorithms", HTW Dresden, Germany
24.06.2014
[06] A gentle introduction to convex geometry
Research Seminar Approximation and Optimization, TU Chemnitz
04.06.2014
[05] The Elzinga–Hearn algorithm in strictly convex planes
Sachsen-anhaltinischer Geometrietag & Friends, Otto von Guericke University Magdeburg, Germany
06.12.2013
[04] Minimax location in finite-dimensional normed spaces
Research Seminar Approximation and Optimization, TU Chemnitz, Germany
05.06.2013
[03] Ein Minimax-Standortproblem in endlichdimensionalen Banachräumen
Research Seminar Discrete Geometry, TU Chemnitz, Germany
22.05.2013
[02] On minimal enclosing discs and balls in normed planes and spaces
Defense of the diploma thesis, TU Chemnitz, Germany
20.03.2013
[01] GUI-Implementation für das Kantenfärben von Multigraphen
Research Seminar Algorithmic and Discrete Mathematics, TU Chemnitz, Germany
23.11.2011
[05] Sampling numbers of smoothness classes via ℓ¹ -minimization
presented at Strobl24 "More on Harmonic Analysis", Strobl, Austria, 2024.
[04] Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere
presented at Workshop and Summer School on Applied Analysis, Chemnitz, Germany, 2023.
[03] On the optimal constants in the two-sided Stechkin inequalities
presented at Current Trends in Convex Geometry, Bremen, Germany/Murcia, Spain/online, and at Luboš 60, Železná Ruda, Czech Republic, 2021.
[02] Hunting for reduced polytopes
2018
[01] Discrete geometry in finite-dimensional Banach spaces
2013
...on the occasion of Horst Martini's 70th birthday
Date: June 6 and 7, 2024
Venue: Brandenburg University of Technology, Cottbus Campus
...South Eastern Germany Workshop on Combinatorics, Graph Theory, and Algorithms
Date: October 22, 2019
Venue: Technische Universität Chemnitz, Central Lecture Hall Building, Reichenhainer Straße 90, 09126 Chemnitz
Date: November 25, 2017
Venue: Technische Universität Chemnitz, Altes Heizhaus, Straße der Nationen 62, 09111 Chemnitz
Date: December 8-9, 2016
Venue: Technische Universität Chemnitz, Central Lecture Hall Building, Reichenhainer Straße 90, 09126 Chemnitz
member of the program committee of the International Conference of Young Mathematicians (June 1-3, 2023, online/Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)
Technical Editor at Beiträge zur Algebra und Geometrie (2014-2020)