This proceedings of a conference devoted to number theory aspects of the theory of polynomials contains 19 papers written by leading specialists in the field. The range of the papers is correspondingly broad and stretches from classical topics (such as Mahler’s measure through primitive divisors, greatest common divisors and smooth divisors) to properties of special polynomials. Besides that, we can also find here papers devoted to some more specialised facets of the theory of polynomials. For instance, a paper giving an introduction to Belyi-maps and Grothendieck’s dessins, to the Hansen-Mullen primitivity conjecture and a survey of results on algebraic numbers having all Galois conjugates on a conic, etc. The collection is certainly interesting not only for those interested in some selected topic but also for those who like to browse the papers with the aim of extending their knowledge.