Sira Gratz works on cluster algebras, cluster categories, and the representation theory of algebras. She has made several significant contributions to these areas of mathematics. In representation theory, she has constructed a number of new combinatorial models. Such models are a major theme of modern representation theory, and using these tools, she has classified torsion pairs in cluster categories and determined the subcategory lattices of derived categories. She has also done pioneering work on the homotopy invariants of singularity categories.

The theory of cluster algebras is a very active area of 21st century mathematics, and Sira Gratz was behind the introduction of the first cluster algebras of infinite rank. She went on to explore a number of novel features exhibited by the infinite rank situation, not least the notion of transfinite mutation. She received a Villum Young Investigator Award in 2021, which will permit her to establish her own research group on cluster algebras and their invariants.

Sira Gratz obtained her PhD degree from the University of Hannover in 2015 under the supervision of Thorsten Holm. She was a Postdoctoral Fellow at the University of Oxford, was appointed to a lectureship at the University of Glasgow in 2017, and was promoted to Senior Lecturer in 2020.