Combinatorial group

Jan obtained his PhD from the University of Warwick in 2011 under the supervision of Artur Czumaj and from Charles University in 2013 under the supervision of Dan Kral. Jan's research focuses on extremal graph theory, random discrete structures, and graph limits. His most important projects include progress on the Loebl-Komlos-Sos Conjecture, Caccetta-Haggkvist Conjecture, and the Tree Packing Conjecture. |

My research interests lie in extremal and probabilistic combinatorics. In particular, I am interested in the study of extremal graph theory, random graphs, and the interface between these areas. Recently, I have also gained an interest in graph limits and beyond. |

Vahideh Keikha
My main research area is in Computational Geometry. I am particularly interested in problems involving data uncertainty, approximation algorithms, data structures, and random algorithms. I have joined the project "Structural properties of visibility in terrains and farthest color Voronoi diagrams" and, I have also become interested in graph drawing and many related problems. |

Volodymyr Kuznietsov
Volodymyr is getting training in combinatorics. Due to the war in Ukraine, he chose to study in the Czech Republic. |

Anna Limbach
My research interests are structural and probabilistic combinatorics. I like to work on problems regarding graph weightings and colourings, the dynamics of the clique graph operator, problabilistic methods in graph theory, and graph limits. Moreover, I am interested in applying various techniques to the ErdÅ‘s multiplication table problem. |

Diana's research interests lie in extremal graph theory, Ramsey theory, probabilistic method, and limits of graphs. In particular together with Komlós, Hladký, Simonovits, Stein, and Szemerédi, she used a generalisation of the regularity lemma to sparse graphs to assymptotically solve a cojecture of Loebl, Komlós and Sós on trees. Together with Böttcher, Hladký and Taraz, she used the Rödl nibble method to make significant progress on a conjecture of Gyárfás about packing trees. |

My main interests are random discrete structures and tail probability inequalities. I have contributed to progress on the Kim-Vu Sandwich Conjecture (and its extension to random hypergraphs) and the Upper Tail Problem for subgraph counts in the random graph G(n,p). Moreover, I have applied results of extremal hypergraph theory to obtain some optimal tail inequalities for sums of independent random variables. |