Dr Sira Gratz
- Senior Lecturer (Mathematics)
My research focuses on applying combinatorial methods to solve questions arising in representation theory; in suitable frameworks, abstract concepts from representation theory can be made tangible using combinatorics and, quite simply, pictures.
More specifically I am interested in cluster algebras and cluster categories of infinite rank, in classification problems in triangulated categories, and in the relations between cluster algebras and representation theory.
Current PhD students
David Murphy ( Representations of finite dimensional algebras
This project studies representations of finite dimensional
algebras via a homological approach. The central idea is to
study structures and properties of categories coming from
representations of finite dimensional algebras, with possible
focus on thick subcategories, Serre functors, lattice theory,
Damian Wierzbicki (cluster algebras)