# Pure Mathematics Postgraduate Research Students

Learn about the pure mathematics research undertaken by some of our current postgraduate research students.

## Some of our current PGR students

#### Graham Campbell

Graham’s primary areas of interest are algebra and theoretical computer science, especially (graph) rewriting systems, (geometric) group theory, semigroup theory, automata and formal languages, and decision problems.

#### Joseph Dessi

Joseph's primary areas of interest are in C*-algebra and operator theory, as well as the theory of Hilbert C*-modules. His PhD research project focuses on investigating the structure of C*-algebras of product systems.

#### Horacio Guerra Ocampo

Horacio’s primary areas of interest are Lie theory, Algebraic groups, Modular Lie algebras, and Representation theory. Their PhD research project is titled 'Representation Theory of Non-graded, Non-restricted Modular Lie algebras'

#### Jake Stephens

Jake’s research interests are representation theory, Lie algebras, quantum groups, and combinatorics. The focus of my PhD is on the representation theory of quantum symmetric pairs

#### Jordan Barnes

Jordan’s research interests are representation theory in positive characteristic. Their PhD research project is titled 'Representations of rational Cherednik algebras in positive characteristic'

#### Aura-Cristiana Radu

Aura’s research interests are representation theory and cohomology theory of algebraic groups. Their PhD research project is titled 'The extensions between simple modules for Ree groups of type F_4'