# 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.

#### Sam Mutter

Sam is currently researching the connections between higher-rank graphs, Bruhat-Tits buildings, and geometric group theory, with a particular emphasis on cube complexes.

#### Amos Ajibo

Amos's research interests include Mathematical analysis, in particular, interpolation problems, complex analysis, analytic functions theory and wavelet theory. Their PhD research project is investigating Interpolation problems and quasi-Cartan domains

#### Jack Aiston

Jack’s research interest is in Homomorphic encryption in algebraic structures.

#### 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.

#### Matina Trachana

Matina’s primary area of interest is multidimensional moment problems. Their proposed PhD thesis title is The matrix-valued moment problem for flat data.

#### 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'