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Zuzana Patáková

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 advisors there were Karim Adiprasito and Gil Kalai.

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

Výuka (Teaching -- in Czech only)

V letním semestru 2020/21 učím Úvod do výpočetní topologie a Algebru 2 pro informatiky.
V zimním semestru 2020/21 přednáším Konvexní optimalizaci a vedu cvičení z Algebry 1 a Algoritmů na polynomech.

Research interests

Preprints

  1. Z. Patáková, M. Tancer, U. Wagner:
    Barycentric cuts through a convex body. Appeared at SoCG 2020.

  2. Z. Patáková:
    Bounding Radon number via Betti numbers. Appeared at SoCG 2020.

Publications

  1. G. Kalai, Z. Patáková:
    Intersection patterns of planar sets. Discrete Comput. Geom. 64(2): 304–323, 2020.

  2. 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.

  3. 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

  4. 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

  5. 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

  6. 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

  7. J. Kynčl, Z. Patáková:
    On the nonexistence of k-reptile simplices in R3 and R4. The Electronic Journal of Combinatorics 24(3): P3.1, 2017, arXiv

  8. 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

  9. J. Matoušek, Z. Patáková:
    Multilevel polynomial partitions and simplified range searching. Discrete and Computational Geometry, 54(1):22-41, 2015, arXiv

  10. X. Goaoc, J. Matoušek, P. Paták, Z. Safernová, M. Tancer:
    Simplifying inclusion-exclusion formulas. Combinatorics, Probability and Computing. 24(2):438-456. 2015, arXiv

  11. 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

  12. H. Kaplan, J. Matoušek, Z. Safernová, M. Sharir:
    Unit Distances in Three Dimensions. Combinatorics, Probability and Computing. 21(4): 597-610. 2012, arXiv

  13. J. Matoušek, Z. Safernová:
    On the nonexistence of k-reptile tetrahedra. Discrete and Computational Geometry. 46(3): 599-609. 2011, arXiv

Education

2015PhD degree in Computer Science
Faculty of Mathematics and Physics, Charles University in Prague
supervisor: Jiří Matoušek
thesis: Problems in discrete geometry
2010Master degree in Mathematical Structures (Summa Cum Laude)
Faculty of Mathematics and Physics, Charles University in Prague
supervisor: Jiří Matoušek
thesis: Reptile simplices
2008Bachelor degree in General Mathematics (Summa Cum Laude)
Faculty of Mathematics and Physics, Charles University in Prague
supervisor: Jiří Matoušek
thesis: Samodlážditelné simplexy (in Czech)