Papers
Preprints
| 10. | Perfect matchings, dimer partition functions and cluster characters, with İlke Çanakçı and Alastair King. Preprint available on arXiv. |
| 9. | From frieze patterns to cluster categories. Lecture notes from LMS Autumn Algebra School, October 2020. Preprint available on arXiv. |
| 8. | Calabi–Yau properties of Postnikov diagrams. Preprint available on arXiv. |
| 7. | A categorification of acyclic principal coefficient cluster algebras. Preprint available on arXiv. |
Publications
| 6. |
On quiver Grassmannians and orbit closures for gen-finite modules, Algebr. Represent. Theory (to appear), with Julia Sauter.
Journal version available online (open access), accepted manuscript available on arXiv. Summary (with same title) available in Proceedings of the 50th Symposium on Ring Theory and Representation Theory (2018), 155–164. |
| 5. | Special tilting modules for algebras with positive dominant dimension, Glasg. Math. J. 64 (2022), no. 1, 79–105, with Julia Sauter. Journal version available online (open access), accepted manuscript available on arXiv. |
| 4. | Mutation of frozen Jacobian algebras, J. Algebra 546 (2020), 236–273. Corrigendum, J. Algebra 588 (2021), 533–537. Journal version and corrigendum available online (with subscription), accepted manuscript including corrigendum available on arXiv. The corrigendum gives various corrected versions of Proposition 5.16 from the original, and addresses some other more minor inaccuracies. |
| 3. | Graded Frobenius cluster categories, Doc. Math. 23 (2018), 49–76, with Jan E. Grabowski. Journal version available online (open access), final version available on arXiv. |
| 2. | Internally Calabi–Yau algebras and cluster-tilting objects, Math. Z. 287 (2017), no. 1–2, 555–585. Journal version available online (open access), final version available on arXiv. |
| 1. | Labelled seeds and the mutation group, Math. Proc. Cambridge Philos. Soc. 163 (2017), no. 2, 193–217, with Alastair King. Journal version available online (with subscription), accepted manuscript available on arXiv. |
Other
Auslander–Reiten translations for Gorenstein algebras, with Sondre Kvamme.
Appendix to 'Monomial Gorenstein algebras and the stably Calabi–Yau property', Algebr. Represent. Theory 24 (2021), 1083–1099, by Ana García Elsener.
Journal version available online (open access), submitted version available on arXiv.
Corrigendum: The functor \(\Sigma\) is defined via left (not right) \(\operatorname{proj}\Lambda\)-approximation.
Frobenius categorification of cluster algebras. Ph.D. thesis, available on Bath Research Portal (open access) and EThOS (requires registration).