Position | Post-doc (Supervisor Karim Adiprasito and Gil Kalai) |

Address | Einstein Institute of Mathematics, Edmond J. Safra Campus |

The Hebrew University of Jerusalem, Givat Ram. Jerusalem, 9190401, Israel | |

Contact | ppatak AT seznam DOT cz |

- Algebra and Geometry
- Algebraic topology
- Model theory

- R. Karasev, J. Kynčl, P. Paták, Z. Patáková, M. Tancer:
*Bounds for Pach's selection theorem and for the minimum solid angle in a simplex.*Discrete and Computational Geometry, 54(3):610-636, 2015 - X. Goaoc, J. Matoušek, P. Paták, Z. Safernová, M. Tancer,
*Simplifying Inclusion-Exclusion Formulas*,Combinatorics, Probability and Computing, Vol. 24, Issue 02, 2015, pp 438-456 - X. Goaoc, P. Paták, Z. Patáková, M. Tancer, U. Wagner,
*Bounding Helly Numbers via Betti Numbers*, Proceedings of SoCG 2015 - X. Goaoc, I. Mabillard, P. Paták, Z. Patáková, M. Tancer, U. Wagner,
*On Generalized Heawood Inequalities for Manifolds: A Van Kampen-Flores-type Nonembeddability Result*, Proceedings of SoCG 2015 - J. Cibulka, J. Matoušek, P. Paták,
*Three-monotone Interpolation*, Discrete & Computational Geometry, Vol. 54, Issue 1, 2015, pp 3-21

2015 | Ph.D. in Algebra, Number Theory and Mathematical Logic Faculty of Mathematics and Physics, Charles University in Prague Thesis: Using algebra in geometry |

2010 | Master degree in Mathematical Structures Faculty of Mathematics and Physics, Charles University in Prague Thesis: Combinatorics of mathematical structuresAdvisor: Jan Krajíček |

2008 | Bachelor degree in General Mathematics Faculty of Mathematics and Physics, Charles University in Prague Thesis: Definovatelnost v matematických strukturách (in Czech)Advisor: Jan Krajíček |