The Algebra and Geometry Research Group investigates foundational questions in algebra, geometry, and analysis through structural and categorical methods. Core expertise includes Homological Algebra and Category Theory, which provide a unifying framework for studying algebraic structures, derived invariants, and equivalences. The group conducts research in Group Theory, Field Theory, and Representation Theory, particularly the representation theory of finite groups, local group theory, and the theory of fusion systems, aimed at understanding symmetry and p-local phenomena. Work on Hopf algebras further develops algebraic approaches to symmetry, duality, and deformation.
Complementing these algebraic directions, the group is active in Noncommutative Geometry, Differential Geometry, and Geometric Analysis. Research explores how algebraic and categorical tools illuminate geometric structures, including those governed by nonlinear partial differential equations. By integrating representation-theoretic, homological, and analytic techniques, the group advances the study of invariants, curvature-driven structures, and noncommutative spaces. Collectively, these activities are unified by a focus on symmetry, structure, and the deep interplay between algebra and geometry.
Department Members in This Field
Faculty
- Dr Anton Asare-Tuah Banach Algebra, Differential Geometry
- Dr John Boiquaye Homological Algebra, Category Theory, Hopf Algebras,Noncommutative Geometry
- Dr Benedict Vasco Normenyo Group Theory, Field Theory
- Dr Ralph Agyei Twum Representation Theory
- Dr Abdullah Abubakar Theory of Fusion Systems, Local Group Theory, Representation Theory of Finite Groups
- Dr Eugene Yaw Adade Adjei Geometric Analysis, Differential Geometry
Graduate Students
- Charles Owusu Baah (M.Phil. Candidate -- Current), Natural transformations and generators
Publications
- TBA