Dr Sira Gratz
- Honorary (School of Mathematics & Statistics)
email:
Sira.Gratz@glasgow.ac.uk
School of Mathematics and Statistics, Office 439, University of Glasgow, University Place
https://orcid.org/0000-0002-5333-0869Publications
2021
Erdmann, K., Gratz, S. and Lamberti, L. (2021) Cluster tilting modules for mesh algebras. Linear Algebra and Its Applications, 630, pp. 112-157. (doi: 10.1016/j.laa.2021.07.021)
Baur, K., Faber, E., Gratz, S. , Serhiyenko, K. and Todorov, G. (2021) Friezes satisfying higher SL_k-determinants. Algebra and Number Theory, 15(1), pp. 29-68. (doi: 10.2140/ant.2021.15.29)
2020
Gratz, S. and Stevenson, G. (2020) Homotopy invariants of singularity categories. Journal of Pure and Applied Algebra, 224(12), 106433. (doi: 10.1016/j.jpaa.2020.106433)
2019
Gratz, S. , Holm, T. and Jorgensen, P. (2019) Cluster tilting subcategories and torsion pairs in Igusa-Todorov cluster categories of Dynkin type A infinity. Mathematische Zeitschrift, 292(1-2), pp. 33-56. (doi: 10.1007/s00209-018-2117-y)
2018
Gratz, S. and Stevenson, G. (2018) On the graded dual numbers, arcs, and non-crossing partitions of the integers. Journal of Algebra, 515, pp. 360-388. (doi: 10.1016/j.jalgebra.2018.08.023)
Baur, K., Faber, E., Gratz, S. , Serhiyenko, K. and Todorov, G. (2018) Conway-Coxeter friezes and mutation: a survey. In: Deines, A., Ferrero, D., Graham, E., Seong Im, M., Manore, C. and Price, C. (eds.) Advances in Mathematical Sciences. Series: Association for Women in Mathematical Sciences (15). Springer: Cham, pp. 47-68. ISBN 9783319986838 (doi: 10.1007/978-3-319-98684-5_4)
Grabowski, J. E. and Gratz, S. (2018) Graded quantum cluster algebras of infinite rank as colimits. Journal of Pure and Applied Algebra, 222(11), pp. 3395-3413. (doi: 10.1016/j.jpaa.2017.12.014)
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 Mathématiques, 142, pp. 1-48. (doi: 10.1016/j.bulsci.2017.09.004)
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)
Articles
Erdmann, K., Gratz, S. and Lamberti, L. (2021) Cluster tilting modules for mesh algebras. Linear Algebra and Its Applications, 630, pp. 112-157. (doi: 10.1016/j.laa.2021.07.021)
Baur, K., Faber, E., Gratz, S. , Serhiyenko, K. and Todorov, G. (2021) Friezes satisfying higher SL_k-determinants. Algebra and Number Theory, 15(1), pp. 29-68. (doi: 10.2140/ant.2021.15.29)
Gratz, S. and Stevenson, G. (2020) Homotopy invariants of singularity categories. Journal of Pure and Applied Algebra, 224(12), 106433. (doi: 10.1016/j.jpaa.2020.106433)
Gratz, S. , Holm, T. and Jorgensen, P. (2019) Cluster tilting subcategories and torsion pairs in Igusa-Todorov cluster categories of Dynkin type A infinity. Mathematische Zeitschrift, 292(1-2), pp. 33-56. (doi: 10.1007/s00209-018-2117-y)
Gratz, S. and Stevenson, G. (2018) On the graded dual numbers, arcs, and non-crossing partitions of the integers. Journal of Algebra, 515, pp. 360-388. (doi: 10.1016/j.jalgebra.2018.08.023)
Grabowski, J. E. and Gratz, S. (2018) Graded quantum cluster algebras of infinite rank as colimits. Journal of Pure and Applied Algebra, 222(11), pp. 3395-3413. (doi: 10.1016/j.jpaa.2017.12.014)
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 Mathématiques, 142, pp. 1-48. (doi: 10.1016/j.bulsci.2017.09.004)
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)
Book Sections
Baur, K., Faber, E., Gratz, S. , Serhiyenko, K. and Todorov, G. (2018) Conway-Coxeter friezes and mutation: a survey. In: Deines, A., Ferrero, D., Graham, E., Seong Im, M., Manore, C. and Price, C. (eds.) Advances in Mathematical Sciences. Series: Association for Women in Mathematical Sciences (15). Springer: Cham, pp. 47-68. ISBN 9783319986838 (doi: 10.1007/978-3-319-98684-5_4)