Papers and Preprints

Papers and preprints

1. Weak stability conditions and the space of chains of torsion classes, joint with Aran Tattar. arXiv.

2. Wall-and-chamber structures for finite-dimensional algebras and τ-tilting theory (lecture notes),  joint with Maximilian Kaipel. arXiv.

3. A geometric perspective on the τ-cluster morphism category, joint with Sibylle Schroll, Aran Tattar and Nick Williams. arXiv.

4. A characterisation of higher torsion classes, joint with Jenny August, Johanne Haugland, Karin Jacobsen, Sondre Kvamme and Yann Palu. arXiv.

5. Stability spaces of string and band modules, joint with Sibylle Schroll, Aran Tattar, Yadira Valdivieso and Nick Williams.  Journal of Pure and Applied Algebra Volume 228, Issue 4, April 2024, 107503. arXiv. 

6. Extending (τ-)tilting subcategories and (co)silting modules, joint with Javad Asadollahi, Farzad Padashnik and Somayeh Sadeghi. Communications in Algebra. arXiv.

7. On τ-tilting subcateogies, joint with Javad Asadollahi and Somayeh Sadeghi. arXiv.

8. Characterisations of trivial extensions, joint with Elsa Fernandez, Sibylle Schroll, Sonia Trepode and Yadira Valdivieso. arXiv.

9. Towards a categorification of scattering amplitudes, joint with Severin Barmeier, Pafrulla Oak, Aritra Pal and Koushik Ray. arXiv.

10. Stratifying systems and g-vectors, joint with Octavio Mendoza and Corina Saenz. Journal of Pure and Applied Algebra Volume 227, Issue 3, March 2023, 107212. arXiv. 

11. Deformation theory for finite cluster complexes, joint with Nathan Ilten and Alfredo Najera. arXiv.

12. τ-tilting theory -- An introduction. Chapter in Modern Trends in Algebra and Representation Theory, a book in the LMS Lecture Series published by Cambridge University Press. arXiv.

13. The size of a stratifying system can be arbitrarily large. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 15-19. arXiv. 

14. On higher torsion classes, joint with Javad Asadollahi, Peter Jørgensen and Sibylle Schroll. Nagoya Mathematical Journal, 248 (2022), 823–848. arXiv.

15. A τ-tilting approach to the first Brauer-Thrall conjecture, joint with Sibylle Schroll. Proc. Amer. Math. Soc. 150 (2022), 4567-4574. arXiv. 

16. On band modules and τ-tilting finiteness, joint with Sibylle Schroll and Yadira Valdivieso. Math. Z. 299, 2405–2417 (2021). arXiv.

17. Stratifying systems through τ-Tilting theory, joint with Octavio Mendoza. Documenta Mathematica 25, 701-720 (2020). arXiv.

18. An algebraic approach to Harder-Narasimhan filtrations. arXiv.

19. Stability Conditions and Maximal Green Sequences in Abelian Categories, joint work with Thomas Brüstle and David Smith. Revista de la Unión Matemática Argentina, Volume 63, no. 1 (2022), pp. 203–221. arXiv.

20. Wall and Chamber Structure for finite-dimensional Algebras, joint work with Thomas Brüstle and David Smith. Advances in Mathematics, Volume 354, 1 October 2019, 106746. arXiv.

21. On sign coherence of c-vectors.  Journal of Pure and Applied Algebra, Volume 223, Issue 6, June 2019, Pages 2382-2400. arXiv

22. Sur la théorie de τ-inclinaison. PhD Thesis (in French). Univeristé de Sherbrooke. August 2017.

23. τ-Tilting theory and τ-slices, Journal of Algebra, Volume 481, 1 July 2017, Pages 362-392. arXiv.