The conference “Algebraic and Geometrical Methods in String Theory” was held in Argentina during the period 28 October-8 November, 2019. The aim of this research school was to present a general mathematical background of relevance for the study of many subjects appearing in theoretical physics, in particular in string theory and, more broadly, in quantum field theory. This was done though a collection of courses explicitly covering the physical topics that these mathematical tools help to understand. Some of the specific mathematical subjects covered during the school were representation theory of Lie and Kac-Moody algebras, vertex algebras, Hopf algebras, homological and homotopical algebras, complex geometry and Landau-Ginzburg models, whereas the physics courses covered some basics on Quantum Field Theory, string theory, string compactifications and Wess-Zumino-Witten models, as well as some new research concerning these.Every course introduced the subject providing the participants with the necessary background before proceeding with more advanced topics. Problem solving sessions were organized under the supervision of the corresponding lecturer as well as a poster session.

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