Publications and Preprints

My complete list of preprints can be found on the arXiv.

• Metric completions of discrete cluster categories.

With Charley Cummings.

Preprint available on arXiv:2407.17369

• Homotopy Invariants for gradable finite dimensional algebras.

With Theo Raedschelders, Špela Špenko and Greg Stevenson.

Preprint available on arXiv:2405.05609

• Approximating triangulated categories by spaces.
  With Greg Stevenson.
  To appear in Advances in Mathematics.
  Preprint available on arXiv:2205.13356

• Cluster structures for the A∞ singularity.
  With Jenny August, Man-Wai Cheung, Eleonore Faber and Sibylle Schroll.
  Journal of the London Mathematical Society, Vol. 107 (2023), 2121-2149
  http://doi.org/10.1112/jlms.12735

• Categories for Grassmannian Cluster Algebras of Infinite Rank.
  With Jenny August, Man-Wai Cheung, Eleonore Faber and Sibylle Schroll.
  International Mathematics Research Notices (2023), rnad004.
  https://doi.org/10.1093/imrn/rnad004

• Lattices of t-structures and thick subcategories for discrete cluster categories.
  With Alexandra Zvonareva.
  Journal of the London Mathematical Society, Vol. 107 (2023), no. 3, 973-1001 .
  http://doi.org/10.1112/jlms.12705

• Cluster tilting modules for mesh algebras.
  With Karin Erdmann and Lisa Lamberti.
  Linear Algebra and Its Applications, 630 (2021), 112-157.
  doi:10.1016/j.laa.2021.07.021

• Friezes satisfying higher SLk-determinants.
  With Karin Baur, Eleonore Faber, Khrystyna Serhiyenko and Gordana Todorov.
  Algebra & Number Theory, Vol. 15 (2021), no. 1, 29–68.
  doi:10.2140/ant.2021.15.29

• Homotopy invariants of singularity categories.
  With Greg Stevenson.
  Journal of Pure and Applied Algebra, Vol. 224 (2020), no. 12, 106433.
  doi: 10.1016/j.jpaa.2020.106433

• Cluster tilting subctegories and torsion pairs in Igusa-Todorov cluster categories of Dynkin type A∞.
  With Thorsten Holm and Peter Jorgensen.
  Mathematische Zeitschrift, 292 (2019), no. 1, 33–56.
  doi:10.1007/s00209-018-2117-y

• Conway-Coxeter friezes and mutation: a survey.
  With Karin Baur, Eleonore Faber, Khrystyna Serhiyenko and Gordana Todorov.
  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, vol. 15 (2018), 47–68.

• On the graded dual numbers, arcs, and non-crossing partitions of the integers.
  With Greg Stevenson.
  Journal of Algebra, J. Algebra 515 (2018), 360–388.
  doi.org/10.1016/j.jalgebra.2018.08.023

• Mutation of friezes.
  With Karin Baur, Eleonore Faber, Khrystyna Serhiyenko and Gordana Todorov.
  Bulletin des Sciences Mathematiques, 142 (2018), 1-48.
  doi:10.1016/j.bulsci.2017.09.004

• Graded quantum cluster algebras of infinite rank as colimits.
  With Jan E. Grabowski.
  Journal of Pure and Applied Algebra,222 (2018), no. 11, 3395-3413.
  doi:10.1016/j.jpaa.2017.12.014

• Transfinite mutations in the completed infinity-gon.
  With Karin Baur.
  Journal of Combinatorial Theory, Series A, 155 (2018), 321-359.
  doi:10.1016/j.jcta.2017.11.011

• Mutation of torsion pairs in cluster categories of Dynkin type D.
  Applied Categorical Structures, 24 (2016), no. 1, 79-104.
  doi:10.1007/s10485-014-9387-2

• Cluster algebras of infinite rank as colimits.
  Mathematische Zeitschrift, 281 (2015), no. 3, 1137--1169.
  doi:10.1007/s00209-015-1524-6

• Cluster algebras of infinite rank.
  With Jan E. Grabowski and an appendix by Michael Groechenig.
  Journal of the London Mathematical Society, 89 (2014), no. 2, 337--363.
  doi:10.1112/jlms/jdt064