José Alvarado: Exploring Open Problems in Combinatorics

José Alvarado: Exploring Open Problems in Combinatorics ** Abstract**: As the title suggests, this presentation will explore some open problems in key areas of combinatorics, including extremal combinatorics, probabilistic combinatorics, and additive combinatorics. For each problem, we will begin with the preliminaries, followed by the statement and, where relevant, I will also discuss recent progress and developments.