The Algebra and Combinatorics Group conducts research across several interconnected areas of modern algebra and combinatorics, combining theoretical foundations with structural and computational perspectives. The main fields of expertise include Representations of Groups and Algebras, Lie Algebras, Algebraic Combinatorics, Algebraic Geometry, Combinatorial Matrix Theory, and Matrix Analysis. The group's results are published in leading international journals, and its members actively contribute to the advancement of the field through publications, collaborations, and participation in international conferences. The group provides a supportive environment for graduate students and early-career researchers and plays an important role in organising seminars, workshops, and outreach activities, thereby strengthening the mathematical community in Coimbra and beyond.