Publications and Preprints

Books edited: 

1. Modern trends in algebra and representation theory

London Math. Soc. Lecture Note Ser., 486

Cambridge University Press, Cambridge, 2023, x+395 pp.

2. Galois covers, Grothendieck-Teichmüller theory and dessins d'enfants

Springer Proc. Math. Stat., 330

Springer, Cham, 2020, viii+240 pp.

Publications and Preprints: 

1. The Hochschild (co)homology of gentle algebras (with Cristian Chaparro, Andrea Solotar, Mariano Suárez-Álvarez), arXiv:2311.08003.

2. Posets for F-polynomials in cluster algebras from surfaces (with Vincent Pilaud, Nathan Reading), arXiv:2311.06033.

3. A complete derived invariant and silting theory for graded gentle algebras (with Haibo Jin and Zhengfang Wang), arXiv:2303.17474. 

4. A geometric perspective on the τ-cluster morphism category (with Aran Tattar, Hipolito Treffinger, Nicholas Williams), arXiv:2302.08169. 

5. Braid group actions on branched coverings and full exceptional sequences, (with Wen  Chang and Faiban Haiden), arXiv:2301.04398, pdf.

6. Recollements of derived categories of graded gentle algebras and surface cuts, (with Wen Chang and Haibo Jin), arXiv:2206.11196, pdf.

7. Characterisations of trivial extensions, (with E. Fernandez, H. Treffinger, S. Trepode, Y. Valdivieso), arXiv:2206.04581, pdf. 

8. Grassmannian categories of infinite rank, (with J. August, M.-W. Cheung, E. Faber and S. Gratz) arXiv:2000.14224, pdf. 

9. Dessins d'enfants, Brauer graph algebras and Galois invariants, (with G. Marlic), preprint, arXiv: 1902.09876, pdf.

10. A geometric model of the derived category of a gentle algebra (with P.-G. Plamondon and S. Opper), arXiv:1801:09659, pdf. 

11. The Commuting Algebra (with E. L. Green), J. Pure Appl. Algebra 228 (2024), no. 5, Paper No. 107536, pdf.

12. Stability spaces of string and band modules, (with A. Tattar, H. Treffinger, Y. Valdivieso, N.-J. Williams), J. Pure Appl. Algebra 228 (2024), no. 4, Paper No. 107503, 30 pp., pdf.

13. Exceptional sequences in the derived category of a gentle algebra, (with Wen Chang), Selecta Math. (N.S.) 29 (2023), no. 3, Paper No. 33, 41 pp, pdf. 

14. Cluster structures for the A∞ singularity (with J. August, M.-W. Cheung, E. Faber and S. Gratz), J. Lond. Math. Soc. (2) 107 (2023), no. 6, 2121–2149, pdf.

15. A geometric realization of silting theory for gentle algebras, (with Wen Chang), Math. Z. 303 (2023), no. 3, Paper No. 67, 37 pp, pdf. 

16. A complete derived invariant for gentle algebras via winding numbers and Arf invariants, (with C. Amiot, P.-G. Plamondon), preprint, Selecta Math. (N.S.) 29 (2023), no. 2, Paper No. 30, 36 pp, pdf. 

17. The first Hochschild cohomology as a Lie algebra, (with L. Rubio y Degrassi and A. Solotar), Quaest. Math. 46 (2023), no. 9, 1955–1980, pdf.

18. Derived categories of skew-gentle algebras and orbifolds, (with D. Labardini-Fragoso and Y. Valdivieso), Glasg. Math. J. 64(2022), no.3, 649–674, pdf.

19. A tau-tilting approach to the first Brauer-Thrall conjecture, (with H. Treffinger), Proc. Amer. Math. Soc. 150 (2022), no. 11, 4567–4574, pdf.

20. The role of gentle algebras in higher homological algebra, (with J. Haugland, K. Jacobsen), Forum Math. 34 (2022), no. 5, 1255–1275, pdf.

21. On higher torsion classes, (with J. Asadollahi, P. Jorgensen and H. Treffinger), Nagoya Math. J. 248 (2022), 823–848, pdf. 

22. On band modules and \tau-tilting finiteness, (with H. Treffinger and Y. Valdivieso), Math. Z. 299 (2021), no. 3-4, 2405–2417, pdf.

23. Higher extensions for gentle algebras, (with K. Baur), Bull. Sci. Math. 170 (2021), Paper No. 103010, 21 pp, pdf.

24. On extensions for gentle algebras, (with I. Canakci and D. Pauksztello), Canad. J. Math. 73 (2021), no. 1, 249–292, pdf. 

25. Lattice bijections for string modules, snake graphs and the weak Bruhat order (with I. Canakci), Adv. in Appl. Math. 126 (2021), Paper No. 102094, 22 pp, pdf. 

26. Algebras and Varieties, (with E. L. Green and L. Hille), Algebras and Representation Theory 24 (2021), no. 2, 367–388, pdf.  

27. Addendum and Corrigendum: Mapping cones for morphisms involving a band complex in the bounded derived category of a gentle algebra, (with I. Canakci and D. Pauksztello), Journal of Algebra, 569 (2021), 856–874, pdf.

28. On the Lie algebra structure of the first Hochschild cohomology of gentle algebras and Brauer graph algebras (with C. Chaparro and A. Solotar), Journal of Algebra, 558, (2020), 293-326, pdf.

29. Dessins d'enfants and Brauer configuration algebras, (with G. Malic), Galois covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants, 205–225, Springer Proc. Math. Stat., 330, Springer, Cham, pdf. 

30. On quasi-hereditary algebras, (with E. L. Green), Bull. Sci. Math. 157 (2019), 102797, 14pp, pdf.

31. Almost gentle algebras and their trivial extensions, (with E. L. Green), Proc. Edinb. Math. Soc. (2) 62 (2019), no. 2, 489-504, pdf.

32. The first Hochschild (co)homology when adding arrows to a bound quiver algebra, (with C. Cibils, M. Lanzilotta, E. Marcos and A. Solotar), Journal of Algebra, 540, (2019), pp. 63-77,  pdf.

33. Mapping cones in the bounded derived category of a gentle algebra, (with I. Canakci and D. Pauksztello), Journal of Algebra 530 (2019), 163-194, pdf.

34. On the representation dimension and finitistic dimension of special multiserial algebras, Proc. Amer. Math. Soc. 147 (2019), pp. 2275-2280, pdf.

35. Special multiserial algebras, Brauer configuration algebras and more: A survey, (with E. L. Green), Representations of algebras, 69–77, Contemp. Math., 705, Amer. Math. Soc., Providence, RI, 2018, pdf. 

36. Brauer graph algebras, Homological Methods, Representation Theory and Cluster Algebras, CRM Short Courses, Springer, 2018, pp. 177-223, pdf.

37. Brauer configuration algebras: A generalization of Brauer graph algebras, (with E. L. Green), Bulletin des Sciences Mathematiques 141 (6) (2017), pp. 539-572, (pdf arXiv version)

38. The Ext algebra of a Brauer graph algebra, (with E.L. Green, R. Taillefer, N. Snashall), Journal of Non-Commutative Geometry 11 (2) (2017), pp. 537-579, (pdf arXiv version)

39. Extensions in Jacobian Algebras and Cluster Categories of Marked Surfaces, (with I. Canakci), with an appendix by C. Amiot, Advances in Mathematics 313 (2017), pp. 1-49. (pdf arXiv version)

40. Special multiserial algebras are quotients of symmetric special multiserial algebras, (with E. L. Green), Journal of Algebra 473 (2017) pp. 397-405, (pdf arXiv version)

41. Multiserial and special multiserial algebras and their representations, (with E. L. Green), Advances in Mathematics 302 (2016), pp. 1111-1136. (pdf arXiv version)

42. Trivial extensions of gentle algebras and Brauer graph algebras, Journal of Algebra 444 (2015) pp.183-200, (pdf arXiv version)

43. The geometry of Brauer graph algebras and cluster mutations, (with R. Marsh), Journal of Algebra 419, (2014), pp. 141-166, (pdf arXiv version)

44. Group actions and coverings of Brauer graph algebras (with E.L Green and S. Snashall), Glasgow Mathematical Journal, 56, No. 02, (2014), pp. 439-464, (pdf arXiv version)

45. A circular order on edge-coloured trees and RNA m-diagrams (with R. Marsh),  Advances in Applied Mathematics, 54,  (2014), pp. 11-26. (pdf arXiv version)

46. Chebyshev polynomials on symmetric matrices (with K. Erdmann), Journal of Linear Algebra and its Applications, 434, No. 12, (2011), (pdf arXiv version)

47. Hochschild cohomology and support varieties for tame Hecke algebras (with N. Snashall), Q. J. Math., 62, No. 4, (2011) (pdf arXiv version)

48. On the Hochschild cohomology of tame Hecke algebras (with K. Erdmann), Arch. Math., 117, No. 2, (2010) (pdf arXiv version)

49. Rhombus filtrations and Rauzy algebras (with A. Clark and K. Erdmann), Bull. Sci. Math., 133, No. 1, (2009) (pdf arXiv version)

50. Weight 2 blocks of general linear groups and Alvis-Curtis duality (with K.M. Tan), Int. Math. Res. Not. IMRN 2007, Art. ID rnm130 (pdf arXiv version)

51. On decomposition numbers and Alvis-Curtis duality (with B. Ackermann), Math. Proc. Cambridge Philos. Soc. 143, No. 3, (2007) (pdf arXiv version)

52. Alvis-Curtis duality on q-Schur and Hecke algebras, Q. J. Math. 58, No. 2, (2007).

53. On Young modules of general linear groups (with K. Erdmann), Journal of Algebra 310, No. 1, (2007).

54. On the Coxeter complex and Alvis-Curtis duality for principal l-blocks of GLn(q), (with M. Linckelmann), J. Algebra Appl. 4, No. 3 (2005).

55. A two-sided q-analogue of the Coxeter complex, (with M. Linckelmann), Journal of Algebra 289, No. 1, (2005).

Last updated October 2022