Jan Legerský

Assistant professor

Department of Applied Mathematics, FIT CTU in Prague

I am an assistant professor at Department of Applied Mathematics at Faculty of Information Technology, Czech Technical University in Prague, Czech Republic. Since October 2022, I have been the principal investigator of the project Paradoxical flexibility of frameworks.

Previously, I was a PostDoc at Research Institute for Symbolic Computation at Johannes Kepler University in Linz, Austria.

I did my PhD in Marie Sklodowska-Curie Innovative Training Network ARCADES at JKU in Linz. My supervisor was Josef Schicho.

Interests

Flexible graphs
Rigidity Theory

Education

Doctoral degree in Engineering Sciences (Computer Mathematics), 2019

Johannes Kepler University Linz, RISC
Master's degree in Theoretical Computer Science, 2016

Czech Technical University in Prague, FNSPE
Bachelor's degree in Theoretical Computer Science, 2013

Czech Technical University in Prague, FNSPE

Research

Paradoxical flexibility of frameworks (22-04381L)

Joint project between RICAM in Linz and FIT, CTU in Prague.

Bricard's octahedra

New proof of the classification of Bricard’s octahedra

Movable Graphs

Graphs with infinitely many realizations in the plane satisfying edge length constraints

Number of Real Embeddings of Minimally Rigid Graphs

Finding edge lengths of minimally rigid graphs with many real embeddings.

Construction of algorithms for Parallel Addition

Parallel Addition algorithms in non-standard numeration systems are constructed by so called Extending Window Method.

Publications

More Publications

Sean Dewar, Georg Grasegger, Jan Legerský. Constructing reflection-symmetric flexible realisations of graphs. preprint, 2024.

Preprint Project

Georg Grasegger, Jan Legerský. Flexibility and rigidity of frameworks consisting of triangles and parallelograms. Computational Geometry, 2024.

Preprint Project DOI

Sean Dewar, Jan Legerský. Flexing infinite frameworks with applications to braced Penrose tilings. Discrete Applied Mathematics, 2023.

Preprint Code Project DOI

Georg Grasegger, Jan Legerský. Bracing frameworks consisting of parallelograms. The Art of Discrete and Applied Mathematics, 2022.

Preprint PDF Project Interactive Jupyter notebook DOI

Matteo Gallet, Georg Grasegger, Jan Legerský, Josef Schicho. Zero-sum cycles in flexible polyhedra. Bulletin of the London Mathematical Society, 2022.

Preprint Project DOI