Project description: The purpose of the project is to pursue research in discrete mathematics, with particular emphasis on extremal combinatorics and related topics. The specific research questions will be determined based on the candidate’s interests and expertise, as well as the ongoing projects of the research group. Possible areas of research include (but are not limited to):

Ramsey theory: the study of the maximum size of cliques or independent sets in graphs and hypergraphs. Some particular topics of interest are the Erdős-Hajnal conjecture and the chi-boundedness phenomenon.

Turán-type problems: the study of the maximum number of edges of graphs and hypergraphs avoiding certain forbidden subconfigurations. Potential research questions include the Rational exponents conjecture, Turán-type problems of topological flavor, and extremal numbers of ordered graphs.

Umeå offers excellent working and living conditions. The city is young and located right next to a large river. It is surrounded by forests and lakes and lies close by the sea. In the vicinity there are plenty of opportunities for both indoor and outdoor activities.

For further information and instructions on how to apply, see: https://www.umu.se/en/work-with-us/postdoctoral-scholarships/6-1322-23/