Algebraic methodology has in recent years proven to be a very versatile framework to tackle problems in applied sciences and data. Key advances include the evolution of algebraic statistics into an increasingly active research area that not only provides models for statistical data analysis but also finds numerous applications in other fields like phylogenetics, chemical reaction networks and more recently quantum chemistry. In this workshop we bring together people from the field of applied algebra with scientists working on data science and quantum systems with the goal of fostering fruitful interactions and further expanding the use of algebraic methods in the sciences.