The school is designed to provide advanced training in Algebra, Number Theory, Geometry and Cryptography and to facilitate the exchange of knowledge and ideas among researchers and students from various countries. The main focus of this year was the number theory around the L-functions and modular forms database (LMFDB), aimed at introducing the students to the main ideas and philosophies around modularity theorems. These relate to the mathematics behind the famous Fermat’s Last Theorem which connect algebraic curves and abelian varieties on one side with modular forms and L-functions on the other. Theoretically, such ideas are part of the Langlands program; the LMFDB can be seen as a way to make this program accessible and concrete by means of a huge treasure trove of examples. Participants learnt the concepts behind modularity conjectures, and how these relate with the huge treasure trove of examples furnished by the LMFDB. They also obtained deeper knowledge on one of the themes of a number of research groups that was devoted to supervised research on a more specialized mathematical topic in the area.