A.Univ.-Prof. Dr. Josef Schicho

Office

Schloss Hagenberg
A-4232 Hagenberg im Mühlkreis

Room: 2.6-1

Postal Address

Research Institute for Symbolic Computation
Johannes Kepler University
Altenberger Straße 69
A-4040 Linz, Austria

Courses

Course Id	Title	Registration	Type	Hours	Teachers	Rhythm
326.0KA (2025S)	Commutative Algebra and Algebraic Geometry Further information	Register	VL	2,0	Josef Schicho	Weekly
326.407 (2025S)	Mathematics for AI II	Register	UE	2,0	Josef Schicho	Weekly
326.408 (2025S)	Mathematics for AI II	Register	UE	2,0	Josef Schicho	Weekly
500.904 (2025S)	Mathematics (VLG - Part 3) Zuteilung erfolgt nach Bezahlung über den MUSSS-Shop € 65/SSt	Register	KV	2,0	Josef Schicho	Weekly
326.060 (2025S)	Symbolic Computation History and Philosophy of Mathematics Further information	Register	SE	2,0	Josef Schicho	Weekly
326.121 (2025S)	Overview of Mathematics: Probability theory	Register	KV	2,0	Josef Schicho	Weekly

Content provided by KUSSS, Johannes Kepler University Linz | E-Mail

Software

Parametrizing Del Pezzo surfaces over the rationals

Authors: Janka Pilnikova, Josef Schicho

2025

[Schicho]

How to reconstruct a planar map from its branching curve

E. Hoxhaj, J. Schicho

Math. Comp. 94, pp. 935-952. 2025. ISSN 1088-6842. [doi]

[bib]

@article{RISC7121,
author = {E. Hoxhaj and J. Schicho},
title = {{How to reconstruct a planar map from its branching curve}},
language = {english},
journal = {Math. Comp.},
volume = {94},
pages = {935--952},
isbn_issn = {ISSN 1088-6842},
year = {2025},
refereed = {yes},
length = {18},
url = {https://doi.org/10.1090/mcom/3988}
}

2024

[Schicho]

Calibrating figures

N. Lubbes, J. Schicho

Comp. Aided Geom. Design 112, pp. -. 2024. ISSN 1879-2332. [doi]

[bib]

@article{RISC7122,
author = {N. Lubbes and J. Schicho},
title = {{Calibrating figures}},
language = {english},
journal = {Comp. Aided Geom. Design},
volume = {112},
pages = {--},
isbn_issn = {ISSN 1879-2332},
year = {2024},
refereed = {yes},
length = {0},
url = {https://doi.org/10.1016/j.cagd.2024.102365}}
}

2023

[Schicho]

Five Equivalent Representations of a Phylogenetic Tree

Jiayue Qi, Josef Schicho

Maple Transactions 3(3), pp. -. 2023. (ISSN) 2564-3029. [doi]

[bib]

@article{RISC6777,
author = {Jiayue Qi and Josef Schicho},
title = {{Five Equivalent Representations of a Phylogenetic Tree}},
language = {english},
journal = {Maple Transactions},
volume = {3},
number = {3},
pages = {--},
isbn_issn = {(ISSN) 2564-3029},
year = {2023},
refereed = {yes},
length = {15},
url = {https://doi.org/10.5206/mt.v3i3.16464}
}

[Schicho]

Trilinear birational maps in dimension three

L. Buse, P. Gonz'alez-Maz'on, J. Schicho

M. Comp. 92, pp. 1837-1866. 2023. 0025-5718.

[bib]

@article{RISC6878,
author = {L. Buse and P. Gonz'alez-Maz'on and J. Schicho},
title = {{Trilinear birational maps in dimension three}},
language = {english},
journal = {M. Comp.},
volume = {92},
pages = {1837--1866},
isbn_issn = {0025-5718},
year = {2023},
refereed = {yes},
length = {30}
}

[Schicho]

Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture

E. Hoxhaj, J.-M. Menjanahary, J. Schicho

J. AAECC, pp. -. 2023. 1432-0622. to appear. [doi]

[bib]

@article{RISC6879,
author = {E. Hoxhaj and J.-M. Menjanahary and J. Schicho},
title = {{Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture}},
language = {english},
journal = {J. AAECC},
pages = {--},
isbn_issn = {1432-0622},
year = {2023},
note = {to appear},
refereed = {yes},
length = {19},
url = {https://doi.org/10.1007/s00200-023-00600-y}
}

[Schicho]

Representing piecewise linear functions by functions with small arity

C. Koutschan, B. Moser, A. Ponomarchuk, J. Schicho

J. AAECC, pp. -. 2023. 1432-0622.

[bib]

@article{RISC6880,
author = {C. Koutschan and B. Moser and A. Ponomarchuk and J. Schicho},
title = {{Representing piecewise linear functions by functions with small arity}},
language = {english},
journal = {J. AAECC},
pages = {--},
isbn_issn = {1432-0622},
year = {2023},
refereed = {yes},
length = {0}
}

[Schicho]

Apollonian-de Casteljau type algorithms for complex rational Bezier curves

B. J�ttler, J. Schicho, Z. Sir

CAGD 107, pp. -. 2023. 0167-8396.

[bib]

@article{RISC6881,
author = {B. J�ttler and J. Schicho and Z. Sir},
title = {{Apollonian-de Casteljau type algorithms for complex rational Bezier curves}},
language = {english},
journal = {CAGD},
volume = {107},
pages = {--},
isbn_issn = {0167-8396},
year = {2023},
refereed = {yes},
length = {0}
}

2022

[Schicho]

Zero-Sum Cycles in Flexible Non-triangular Polyhedra

Matteo Gallet, Georg Grasegger, Jan Legerský, Josef Schicho

In: 2nd IMA Conference on Mathematics of Robotics, W. Holderbaum, J.M. Selig (ed.), Springer Proceedings in Advanced Robotics 21, pp. 137-143. 2022. 978-3-030-91351-9. [doi]

[bib]

@inproceedings{RISC6388,
author = {Matteo Gallet and Georg Grasegger and Jan Legerský and Josef Schicho},
title = {{Zero-Sum Cycles in Flexible Non-triangular Polyhedra}},
booktitle = {{2nd IMA Conference on Mathematics of Robotics}},
language = {english},
series = {Springer Proceedings in Advanced Robotics},
volume = {21},
pages = {137--143},
isbn_issn = {978-3-030-91351-9},
year = {2022},
editor = {W. Holderbaum and J.M. Selig},
refereed = {yes},
length = {7},
url = {https://doi.org/10.1007/978-3-030-91352-6_14}
}

[Schicho]

And Yet it Moves - Paradoxically Moving Linkages in Kinematics

J. Schicho

Bulletin AMS 59, pp. 59-95. 2022. ISSN 0273-0979. [doi]

[bib]

@article{RISC6474,
author = {J. Schicho},
title = {{And Yet it Moves -- Paradoxically Moving Linkages in Kinematics}},
language = {english},
journal = {Bulletin AMS},
volume = {59},
pages = {59--95},
isbn_issn = {ISSN 0273-0979},
year = {2022},
refereed = {yes},
length = {37},
url = {https://doi.org/10.1090/bull/1721}
}

[Schicho]

Zero-sum Cycles in Flexible Polyhedra

M. Gallet, G. Grasegger, J. Legersky, J. Schicho

Bull. LMS 54, pp. 112-125. 2022. 1469-2120.

[bib]

@article{RISC6662,
author = {M. Gallet and G. Grasegger and J. Legersky and J. Schicho},
title = {{Zero-sum Cycles in Flexible Polyhedra}},
language = {english},
journal = {Bull. LMS},
volume = {54},
pages = {112--125},
isbn_issn = {1469-2120},
year = {2022},
refereed = {yes},
length = {14}
}

[Schicho]

Classification of higher mobility closed-loop linkages

T. Duarte Guerreiro, Z. Li, J. Schicho

Annali di Matematica Pura et Applicata, pp. -. 2022. 0373-3114.

[bib]

@article{RISC6663,
author = {T. Duarte Guerreiro and Z. Li and J. Schicho},
title = {{Classification of higher mobility closed-loop linkages}},
language = {english},
journal = {Annali di Matematica Pura et Applicata},
pages = {--},
isbn_issn = {0373-3114},
year = {2022},
refereed = {yes},
length = {0}
}

[Schicho]

A new line-symmetric mobile infinity-pod

M. Gallet, J. Schicho

Confl. Math. 14, pp. 35-47. 2022. 1793-7442.

[bib]

@article{RISC6664,
author = {M. Gallet and J. Schicho},
title = {{A new line-symmetric mobile infinity-pod}},
language = {english},
journal = {Confl. Math.},
volume = {14},
pages = {35--47},
isbn_issn = {1793-7442},
year = {2022},
refereed = {yes},
length = {13}
}

[Schicho]

Projective isomorphisms between rational surfaces

B. J�ttler, N. Lubbes, J. Schicho

J. Algebra 54, pp. 112-125. 2022. 0021-8693.

[bib]

@article{RISC6668,
author = {B. J�ttler and N. Lubbes and J. Schicho},
title = {{Projective isomorphisms between rational surfaces}},
language = {english},
journal = {J. Algebra},
volume = {54},
pages = {112--125},
isbn_issn = { 0021-8693},
year = {2022},
refereed = {yes},
length = {14}
}

[Schicho]

Approximation of convex polygons by polygons

C. Koutschan, A. Ponomarchuk, J. Schicho

In: 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), C. Schneider et al. (ed.), pp. 91-98. 2022. IEEE, 978-1-6654-0650-5.

[bib]

@inproceedings{RISC6877,
author = {C. Koutschan and A. Ponomarchuk and J. Schicho },
title = {{Approximation of convex polygons by polygons}},
booktitle = {{23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)}},
language = {english},
pages = {91--98},
publisher = {IEEE},
isbn_issn = {978-1-6654-0650-5},
year = {2022},
editor = {C. Schneider et al.},
refereed = {yes},
length = {8}
}

2021

[Schicho]

Combinatorics of Bricard's octahedra

M. Gallet, G. Grasegger, J. Legerský, J. Schicho

Comptes Rendus. Mathématique 359(1), pp. 7-38. 2021. Académie des sciences, Paris, ISSN 1631-073X. [doi]

[bib]

@article{RISC6288,
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{Combinatorics of Bricard's octahedra}},
language = {english},
journal = {Comptes Rendus. Mathématique},
volume = {359},
number = {1},
pages = {7--38},
publisher = {Académie des sciences, Paris},
isbn_issn = {ISSN 1631-073X},
year = {2021},
refereed = {yes},
length = {32},
url = {https://doi.org/10.5802/crmath.132}
}

[Schicho]

On the Existence of Paradoxical Motions of Generically Rigid Graphs on the Sphere

M. Gallet, G. Grasegger, J. Legerský, J. Schicho

SIAM Journal on Discrete Mathematics 35(1), pp. 325-361. 2021. ISSN 0895-4801. [doi]

[bib]

@article{RISC6290,
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{On the Existence of Paradoxical Motions of Generically Rigid Graphs on the Sphere}},
language = {english},
journal = {SIAM Journal on Discrete Mathematics},
volume = {35},
number = {1},
pages = {325--361},
isbn_issn = {ISSN 0895-4801},
year = {2021},
refereed = {yes},
length = {37},
url = {https://doi.org/10.1137/19M1289467}
}

2020

[Schicho]

Graphs with Flexible Labelings allowing Injective Realizations

G. Grasegger, J. Legerský, J. Schicho

Discrete Mathematics 343(6), pp. Art. 111713-. 2020. ISSN 0012-365X. [doi]

[bib]

@article{RISC6012,
author = {G. Grasegger and J. Legerský and J. Schicho},
title = {{Graphs with Flexible Labelings allowing Injective Realizations}},
language = {english},
journal = {Discrete Mathematics},
volume = {343},
number = {6},
pages = {Art. 111713--},
isbn_issn = {ISSN 0012-365X},
year = {2020},
refereed = {yes},
length = {14},
url = {https://doi.org/10.1016/j.disc.2019.111713}
}

[Schicho]

Probabilities of incidence between lines and a plane curve over finite field

M. Gallet, M. Makhul, J. Schicho

Finite Fields and Their Applications 61, pp. 1-22. 2020. 1071-5797.

[bib]

@article{RISC6073,
author = {M. Gallet and M. Makhul and J. Schicho},
title = {{Probabilities of incidence between lines and a plane curve over finite field}},
language = {english},
journal = {Finite Fields and Their Applications},
volume = {61},
pages = {1--22},
isbn_issn = {1071-5797},
year = {2020},
refereed = {yes},
length = {22}
}

[Schicho]

Zero-sum cycles in flexible polyhedra

M. Gallet, G. Grasegger, J. Legerský, J. Schicho

arXiv. Technical report, 2020. [url]

[bib]

@techreport{RISC6211,
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{Zero-sum cycles in flexible polyhedra}},
language = {english},
year = {2020},
institution = {arXiv},
length = {16},
url = {https://arxiv.org/abs/2009.14041}
}

[Schicho]

On the Classification of Motions of Paradoxically Movable Graphs

G. Grasegger, J. Legerský, J. Schicho

Journal of Computational Geometry 11(1), pp. 548-575. 2020. ISSN: 1920-180X. [doi]

[bib]

@article{RISC6239,
author = {G. Grasegger and J. Legerský and J. Schicho},
title = {{On the Classification of Motions of Paradoxically Movable Graphs}},
language = {english},
journal = {Journal of Computational Geometry},
volume = {11},
number = {1},
pages = {548--575},
isbn_issn = {ISSN: 1920-180X},
year = {2020},
refereed = {yes},
length = {27},
url = {https://doi.org/10.20382/jocg.v11i1a22}
}