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
Publications
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)