Tree for modular group
Algebra
-
Modular forms
-
Geometric group theory
The four colour pentagon
The traditional objects of study in algebra are algebraic structures such as groups, rings, and modules. However, the developments of the last decades have increasingly emphasised the subject's connections with other areas of mathematics and science, such as geometry, topology, classical and quantum field theory, integrable systems, and theoretical computing science.
Here in Glasgow, we study both classical and modern problems and questions in algebra. The research interests of our staff members include geometric group theory and computational semigroup theory, both commutative and noncommutative ring theory, as well as topics in representation theory and homological algebra.
Dr Andrew J Baker Reader
Hopf algebras and formal groups; homological algebra; Galois theory of commutative rings
Member of other research groups: Geometry and Topology
Dr Tara Brendle Lecturer
Geometric group theory; mapping class groups of surface
Member of other research groups: Geometry and Topology
Research student: Neil Fullarton
Prof Kenneth A Brown Professor of Mathematics
Noncommutative algebra; Hopf algebras; homological algebra
Member of other research groups: Geometry and Topology
Research students: Astrid Jahn, Steven O'Hagan
Dr Alastair Craw Senior lecturer
Algebraic geometry; representations of quivers; noncommutative algebra
Member of other research groups: Geometry and Topology
Research staff: Alexander Quintero Velez
Research students: Nathan Prabhu-Naik, Jesus Tapia Amador
Dr Mikhail Feigin Lecturer
Representations of Chrednik algebras; rings of quasi-invariants
Member of other research groups: Integrable Systems and Mathematical Physics, Geometry and Topology
Dr Christian Korff Research Fellow of the Royal Society/Reader
Representation theoretic and combinatorial aspects in mathematical physics
Member of other research groups: Integrable Systems and Mathematical Physics
Dr Ulrich Kraehmer Lecturer
Noncommutative geometry; Hopf algebras and quantum groups; homological algebra
Member of other research groups: Geometry and Topology, Analysis
Research students: Jake Goodman, Ana Rovi
Prof Peter H Kropholler Chair of Pure Mathematics
Geometric group theory; homological algebra
Member of other research groups: Analysis
Research students: Fawad Hussain, Joseph Mullaney
Dr Tom Leinster EPSRC Advanced Research Fellow/Reader
Category theory
Member of other research groups: Geometry and Topology
Research student: Barry Devlin
Prof Stephen J Pride Professor of Mathematics
Combinatorial group theory; semigroup theory; automata theory
Research students: Alan Logan, Nicholas Loughlin
Dr Alexander Quintero Velez Postdoctoral Research Fellow
Algebraic geometry; noncommutative algebra
Member of other research groups: Geometry and Topology
Supervisor: Alastair Craw
Dr Constanze Roitzheim EPSRC Postdoctoral Fellow
Homological algebra; A-infinity algebras
Member of other research groups: Geometry and Topology
Dr Stuart White Lecturer
Rigidity properties for groups; noncommutative geometry
Member of other research groups: Geometry and Topology, Analysis
Research students: Liam Dickson, Tomasz Pierzchala
Barry Devlin PhD Student
Research Topic: Category Theory
Member of other research groups: Geometry and Topology
Supervisor: Tom Leinster
Neil Fullarton PhD Student
Research Topic: Mapping class groups and related groups
Member of other research groups: Geometry and Topology
Supervisor: Tara Brendle
Jake Goodman PhD Student
Research Topic: Homological algebra
Supervisor: Ulrich Kraehmer
Fawad Hussain PhD Student
Research Topic: Homological algebra
Supervisor: Peter H Kropholler
Astrid Jahn PhD Student
Research Topic: Hopf algebras
Member of other research groups: Geometry and Topology
Supervisor: Kenneth A Brown
Alan Logan PhD Student
Research Topic: Semigroup theory
Supervisor: Stephen J Pride
Nicholas Loughlin MSc Student
Supervisor: Stephen J Pride
Joseph Mullaney PhD Student
Research Topic: Homological algebra
Supervisor: Peter H Kropholler
Steven O'Hagan PhD Student
Research Topic: Hopf algebras
Member of other research groups: Geometry and Topology
Supervisor: Kenneth A Brown
Ana Rovi PhD Student
Research Topic: Lie algebroids
Member of other research groups: Geometry and Topology
Supervisor: Ulrich Kraehmer
Dr Alastair Craw awarded EPSRC grant
Tuesday 27th March, 2012
Dr Alastair Craw was awarded an EPSRC grant for working on Bridgeland stability and the moveable cone. ...
Dr Ulrich Kraehmer awarded EPSRC grant to study Hopf algebroids and operads
Friday 10th February, 2012
Ulrich Kraehmer has won an EPSRC First Grant that will fund a project studying Hopf algebroids and operads. These are research areas in algebra and...