School of Mathematics & Statistics

Dr Sira Gratz

Lecturer (Mathematics)

email: Sira.Gratz@glasgow.ac.uk

Research interests

Research Interests

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.

Research Groups

Algebra

Publications

List all by: Type | Date

Jump to: 2018 | 2017 | 2016 | 2015 | 2014

Number of items: 6.

2018

Baur, K. and Gratz, S. (2018) Transfinite mutations in the completed infinity-gon. Journal of Combinatorial Theory, Series A, 155, pp. 321-359. (doi:10.1016/j.jcta.2017.11.011)

Baur, K., Faber, E., Gratz, S. , Serhiyenko, K. and Todorov, G. (2018) Mutation of friezes. Bulletin des Sciences Mathematiques, 142, pp. 1-48. (doi:10.1016/j.bulsci.2017.09.004)

2017

Grabowski, J. E. and Gratz, S. (2017) Graded quantum cluster algebras of infinite rank as colimits. Journal of Pure and Applied Algebra, (doi:10.1016/j.jpaa.2017.12.014) (Early Online Publication)

2016

Gratz, S. (2016) Mutation of torsion pairs in cluster categories of Dynkin type D. Applied Categorical Structures, 24(1), pp. 79-104. (doi:10.1007/s10485-014-9387-2)

2015

Gratz, S. (2015) Cluster algebras of infinite rank as colimits. Mathematische Zeitschrift, 281(3-4), pp. 1137-1169. (doi:10.1007/s00209-015-1524-6)

2014

Grabowski, J. E. and Gratz, S. (2014) Cluster algebras of infinite rank. Journal of the London Mathematical Society, 89(2), pp. 337-363. (doi:10.1112/jlms/jdt064)

This list was generated on Sun Apr 22 16:22:57 2018 BST.

Jump to: Articles

Number of items: 6.

Articles

Baur, K. and Gratz, S. (2018) Transfinite mutations in the completed infinity-gon. Journal of Combinatorial Theory, Series A, 155, pp. 321-359. (doi:10.1016/j.jcta.2017.11.011)

Baur, K., Faber, E., Gratz, S. , Serhiyenko, K. and Todorov, G. (2018) Mutation of friezes. Bulletin des Sciences Mathematiques, 142, pp. 1-48. (doi:10.1016/j.bulsci.2017.09.004)

Grabowski, J. E. and Gratz, S. (2017) Graded quantum cluster algebras of infinite rank as colimits. Journal of Pure and Applied Algebra, (doi:10.1016/j.jpaa.2017.12.014) (Early Online Publication)

Gratz, S. (2016) Mutation of torsion pairs in cluster categories of Dynkin type D. Applied Categorical Structures, 24(1), pp. 79-104. (doi:10.1007/s10485-014-9387-2)

Gratz, S. (2015) Cluster algebras of infinite rank as colimits. Mathematische Zeitschrift, 281(3-4), pp. 1137-1169. (doi:10.1007/s00209-015-1524-6)

Grabowski, J. E. and Gratz, S. (2014) Cluster algebras of infinite rank. Journal of the London Mathematical Society, 89(2), pp. 337-363. (doi:10.1112/jlms/jdt064)

This list was generated on Sun Apr 22 16:22:57 2018 BST.

Grants

Supervision

Postgraduate opportunities

Cluster Algebras and their implementation on the computer

Teaching

Additional information