The group focuses on various interconnected areas within Algebra and Logic. These areas include the investigation of structural and combinatorial properties of transformation semigroups, Young tableaux, crystals, automata algebra, semigroups, combinatorics on words, Ramsey theory, graph decomposition, and Turán functions. We also study linear and multilinear algebra, algebraic, differential, and non-commutative geometry, mathematical logic, ordered algebraic structures, and finite fields. Additionally, the group is interested in utilizing computational tools to develop experimental mathematics, aiming to gain fresh insights into the diverse realms of our research.