PhD in Algebra and Algebraic Geometry in Sheffield United Kingdom | The University of Sheffield

Group members pursue diverse research interests spanning combinatorial algebraic geometry, moduli spaces, derived categories, enumerative invariants, mirror symmetry, and cluster varieties.
The algebra team has conducted significant research on tight closure theory and associated problems in commutative algebra.

A key research focus involves investigating local cohomology, which intersects with the Topology group's work through Greenlees' contributions on equivariant cohomology rings.

In noncommutative algebra, the group has examined various ring structures including (generalized) Weyl algebras, difference operator rings, quantum algebras, and Frobenius skew polynomial rings.