Research

(2024). Triangular decompositions: Reedy algebras and quasi-hereditary algebras. arXiv preprint, arXiv:2411.12912, 2024, p. 12.

arXiv

(2024). Rank functions for modules and categories. To appear in Boletim da Sociedade Portuguesa de Matemática, 2024, p. 10.

PDF

(2024). A functorial approach to rank functions on triangulated categories. Journal für die reine und angewandte Mathematik (Crelles Journal), 2024, no. 811, 2024, pp. 135-181.

DOI arXiv

(2023). Quasi-hereditary algebras with exact Borel subalgebras. Representation Theory of Quivers and Finite Dimensional Algebras, Oberwolfach Reports, 2023, vol. 20, no. 1, pp. 425–428.

DOI

(2021). All quasihereditary algebras with a regular exact Borel subalgebra. Advances in Mathematics, 384, no. 107751, p. 45.

DOI arXiv

(2021). All exact Borel subalgebras and all directed bocses are normal. Journal of Algebra, 579, pp. 106-113.

DOI arXiv

(2019). Gabriel-Roiter measure, representation dimension and rejective chains. The Quarterly Journal of Mathematics, 71, no. 2, pp. 619-635.

DOI arXiv

(2018). The Ringel dual of the Auslander-Dlab-Ringel algebra. Journal of Algebra, 504, pp. 506-535.

DOI arXiv

(2018). $\Delta$-Filtrations and Projective Resolutions for the Auslander-Dlab-Ringel Algebra. Algebras and Representation Theory, 21, no. 3, pp. 605-625.

DOI arXiv

(2018). (Strongly) quasihereditary algebras and Ringel duality. Representation Theory of Quivers and Finite Dimensional Algebras, Oberwolfach Reports, 2017, vol. 14, no. 1, pp. 635–638.

DOI

(2016). On certain strongly quasihereditary algebras. PhD thesis, University of Oxford.

PDF

(2016). The quasihereditary structure of the Auslander-Dlab-Ringel algebra. Journal of Algebra, 460, pp. 181-202.

DOI arXiv