Resources

Experiments with AI

The following experimental web applications are AI-generated. Use at your own risk!

• AI disclosures in math.{RT,RA}
  Submission and AI-disclosure statistics of arXiv preprints with primary category math.RT or math.RA, submitted since January 2026.
• gentle
  Invariant calculator for gentle algebras, based on work by Chaparro, Schroll, Solotar and Suárez-Álvarez, and by Amiot, Plamondon and Schroll.

For more details see the following webpage: Experiments with AI

Notes and slides from talks and other materials

Below are the notes/slides from some of my talks and also a poster. Click on the titles to open/download the corresponding PDF file.

1. The Calabi-Yau Auslander-Iyama Correspondence. New Directions in Group Theory and Triangulated Categories. Online seminar (2026).
2. Length categories and their taxonomy. The Legacy of Peter Gabriel. Bielefeld University, Germany (2025).
3. Minimal A-infinity algebras of endomorphisms. XXI International Conference on Representations of Algebras (ICRA). Shanghai Jiao Tong University, China (2024).
4. The Donovan–Wemyss Conjecture via the Derived Auslander–Iyama Correspondence. McKay correspondence, Tilting Theory and Related Topics. Kavli IPMU, Kashiwa, Japan (2023).
5. Auslander’s Formula for stable infinity-categories, after Klemenc. Representation theory and non-commutative geometry/ARTIG 3. Paderborn, Germany (2023).
6. Exact infinity-categories. Current trends in representation theory, cluster algebras and geometry. CIRM-Luminy, Marseille, France (2023).
7. The Donovan–Wemyss Conjecture via the Derived Auslander–Iyama Correspondence. Workshop: Silting in Representation Theory, Singularities, and Noncommutative Geometry. Casa Matemática Oaxaca, Mexico (2023).
8. Quivers, quivers and more quivers. Maths Student’s Day. Lund, Sweden (2023).
9. (Non-)uniqueness of strong DG enhancements. Combinatorial aspects of Representation Theory. Oslo, Norway (2023).
10. (Non-)uniqueness of strong DG enhancements. New Directions in Group Theory and Triangulated Categories. Online seminar (2023).
11. Brackets, trees and the Borromean rings. Lund Mathematics Colloquium. Lund, Sweden (2022).
12. The Donovan-Wemyss Conjecture via the Derived Auslander–Iyama Correspondence. Geometric Representation Theory Seminar. YMSC, Beijing, China (2022).
13. The Triangulated Auslander–Iyama Correspondence. Algebra Days in Paris in honor of Bernhard Keller. IHP, Paris, France (2022).
14. The Triangulated Auslander–Iyama Correspondence. 28th Nordic Congress of Mathematicians. Helsinki, Finland (2022).
15. The Triangulated Auslander–Iyama Correspondence, part I. Abel Symposium 2022, Ålesund, Norway. (2022).
    Notes of part II by F. Muro (external link)
16. La conjetura “optimista” de Lekili y Polishchuk. Coloquio Oaxaqueño de Matemáticas. Oaxaca, Mexico (2022).
17. The Triangulated Auslander–Iyama Correspondence. Online Workshop on Higher Dimensional Homological Algebra. IPM-Isfahan, Iran (2022).
18. Generalised BGP reflection functors. Workshop: Representation Theory of Algebras and Sheaves. Bielefeld, Germany (2021).
19. Homotopical algebra in exact (infinity-)categories. 2021 London Mathematical Society Northern Regional Meeting and Conference (A conference in celebration of the work of Bill Crawley-Boevey). Bielefeld, Germany (2021).
20. The Waldhausen S-dot construction and the symplectic geometry of surfaces and their symmetric products. Opening Workshop (IRP Higher Homotopical Structures). CRM Barcelona, Spain (2021).
21. Universal properties of derived categories, after Lurie. BIREP Seminar. Bielefeld, Germany (2021).
22. Deriving a theorem of Ladkani. Flash Talks in Representation Theory at NTNU. Trondheim, Norway (2021).
23. Partially wrapped Fukaya categories of symmetric products of marked disks. Winter School: Connections between representation theory and geometry. Bonn, Germany (online event) (2020).
24. Stable infinity-categories: localisations and recollements:. ‘Two Weeks of Silting’ Summer School. Stuttgart, Germany (2019).
    Exercises
25. Higher-dimensional Auslander algebras of type A and the higher-dimensional Waldhausen S-constructions. XVIII International Conference on Representations of Algebras (ICRA). Prague, Czech Republic (2018).
26. d-homological algebra. Panorama of Mathematics. Bonn, Germany (2015).
27. tau-tilting reduction. XV International Conference on Representations of Algebras (ICRA). Bielefeld, Germany (2012).
28. The extended affine Lie algebra associated with a connected non-negative unit form. XIV International Conference on Representations of Algebras (ICRA). Tokyo, Japan (2010).

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