This volume brings together selected contributions from the conference "Functor and Tensor Categories, Models and Systems" (Santiago de Compostela, Spain, June 2024), along with several invited contributions. As a satellite conference of the 9th European Congress of Mathematics, it attracted many participants and excellent speakers, some of whose presentations form the basis of the papers collected in this volume.

Alex Martsinkovsky is an associate professor at the Department of Mathematics, Northeastern University, Boston, USA. He holds a PhD degree in Mathematics from Brandeis University. His main interests include functor categories, homological algebra, and their applications. He has co-edited six volumes for the American Mathematical Society, Cambridge University Press and Springer.