Hi! I am an assistant professor at Department of Algebra, Charles University. Previously I was a postdoc fellow at IST Austria in the Wagner group. Before that I was a postdoc at the Einstein Institute of Mathematics of the Hebrew University of Jerusalem. My advisor there was Karim Adiprasito..

I did all my university studies in Prague at Charles University under the guidance of Jirka Matoušek.

**Contact:** zuzka AT kam.mff.cuni.cz or patakova AT karlin.mff.cuni.cz

- Discrete and computational geometry and topology
- Algebraic and topological combinatorics, with an emphasis on polynomial methods
- Extremal combinatorics and Ramsey theory

- Z. Patáková, M. Tancer, U. Wagner:
*Barycentric cuts through a convex body*. Appeared at SoCG 2020. - Z. Patáková:
*Bounding Radon number via Betti numbers*. Appeared at SoCG 2020.

- G. Kalai, Z. Patáková:
*Intersection patterns of planar sets*. Discrete Comput. Geom. 64(2): 304–323, 2020. - X. Goaoc, P. Paták, Z. Patáková, M. Tancer, U. Wagner:
*Shellability is NP-complete*. Journal of the ACM, 66(3), 2019, art. no. 21. Also in Proceedings of SoCG 2018,**best paper award**. - K. Adiprasito, P. Brinkmann, A. Padrol, P. Paták, Z. Patáková, R. Sanyal: CM 66 (2019), no. 3, Art. 21
*Colorful simplicial depth, Minkowski sums, and generalized Gale transforms.*International Mathematics Research Notices, 2019(6):1894-1919, 2019. arXiv - X. Goaoc, P. Paták, Z. Patáková, M. Tancer, U. Wagner:
*Bounding Helly numbers via Betti numbers.*Chapter in A Journey Through Discrete Mathematics, A Tribute to Jiří Matoušek, 407-447. 2017 (online). Also in Proceedings of SoCG 2015, arXiv

- 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.*Israel Journal of Mathematics 222(2):841-866, 2017. Also in In Proceedings of SoCG 2015, arXiv - E. Colin de Verdiere, V. Kaluža, P. Paták, Z. Patáková, M. Tancer:
*A Direct Proof of the Strong Hanani-Tutte Theorem on the Projective Plane.*Journal of Graph Algorithms and Applications, 21(5):939-981, 2017. Proceedings of the 24th International Symposium on Graph Drawing (GD 2016), arXiv - J. Kynčl, Z. Patáková:
*On the nonexistence of k-reptile simplices in R*The Electronic Journal of Combinatorics 24(3): P3.1, 2017, arXiv^{3}and R^{4}. - 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, arXiv - J. Matoušek, Z. Patáková:
*Multilevel polynomial partitions and simplified range searching.*Discrete and Computational Geometry, 54(1):22-41, 2015, arXiv - X. Goaoc, J. Matoušek, P. Paták, Z. Safernová, M. Tancer:
*Simplifying inclusion-exclusion formulas.*Combinatorics, Probability and Computing. 24(2):438-456. 2015, arXiv - M. Eliáš, J. Matoušek, E. Roldán Pensado, Z. Safernová:
*Lower bounds on geometric Ramsey functions.*SIAM J. Discrete Math., 28(4):1960-1970, 2014. Also in Proceedings of SoCG 2014, arXiv - H. Kaplan, J. Matoušek, Z. Safernová, M. Sharir:
*Unit Distances in Three Dimensions.*Combinatorics, Probability and Computing. 21(4): 597-610. 2012, arXiv - J. Matoušek, Z. Safernová:
*On the nonexistence of k-reptile tetrahedra.*Discrete and Computational Geometry. 46(3): 599-609. 2011, arXiv

2015 | PhD degree in Computer ScienceFaculty of Mathematics and Physics, Charles University in Prague supervisor: Jiří Matoušek thesis: Problems in discrete geometry |

2010 | Master degree in Mathematical Structures (Summa Cum Laude) Faculty of Mathematics and Physics, Charles University in Prague supervisor: Jiří Matoušek thesis: Reptile simplices |

2008 | Bachelor degree in General Mathematics (Summa Cum Laude) Faculty of Mathematics and Physics, Charles University in Prague supervisor: Jiří Matoušek thesis: Samodlážditelné simplexy (in Czech) |