Research interests
- Representation theory of finite-dimensional algebras
- Purity in compactly generated triangulated and finitely accessible additive categories
- Large silting and cosilting theory
- Model theory of modules
We are looking for applicants with research experience in representation theory of finite-dimensional algebras, silting and tilting theory, t-structures and torsion pairs, gentle algebras or related areas. Deadline: 16/01/2024.
Winter school: Large Modules and Endofiniteness, 23 - 28 February 2025
I am a co-organiser of a winter school taking place at the University of Stuttgart in February 2025. There will be mini-courses delivered by Teresa Conde, William Crawley-Boevey, Ivo Herzog, Henning Krause and Jan Stovicek.
London Mathematical Society Newsletter
I am a member of the editorial board of the LMS Newsletter. If you have any idea for a features article, then please feel free get in touch with me.
Network on Silting Theory
I am a member of a European research network on silting theory, funded by the Deutsche Forschungsgemeinschaft.
FDLIST
I am one of the administrators of the FDLIST, a mailing list and community for representation theorists with an interest in finite‐dimensional algebras.
Preprints
- Torsion pairs via the Ziegler spectrum
L. Angeleri Hügel, R. Laking and F. Sentieri
(Preprint, 2024).
arXiv
Publications
- Mutation and torsion pairs
L. Angeleri Hügel, R. Laking, J. Šťovíček and J. Vitória
To appear in Algebra and Number Theory.
arXiv - Simples in a cotilting heart
L. Angeleri Hügel, I. Herzog and R. Laking
Mathematische Zeitschrift, Volume 307, article number 12 (2024).
Journal · arXiv - Classification of cosilting modules in type Ã
K. Baur and R. Laking
Journal of Pure and Applied Algebra, Volume 226, Issue 10 (2022).
Journal · arXiv - Cotilting sheaves over weighted noncommutative regular projective curves
D. Kussin and R. Laking
Documenta Mathematica, Volume 25, 1029-1077 (2020).
Journal · arXiv - Definability and approximations in triangulated categories
R. Laking and J. Vitória
Pacific Journal of Mathematics, Volume 306, 557-586 (2020).
Journal · arXiv - Purity in compactly generated derivators and t-structures with Grothendieck hearts
R. Laking
Mathematische Zeitschrift, Volume 295, 1615-1641 (2020).
Journal · arXiv - Krull-Gabriel dimension of domestic string algebras
R. Laking, M. Prest and G. Puninski
Transactions of the American Mathematical Society, Volume 370, 4813-4840 (2018).
Journal · arXiv - The Ziegler spectrum for derived-discrete algebras
K. Arnesen, R. Laking, D. Pauksztello and M. Prest
Advances in Mathematics, Volume 319, 653-698 (2017).
Journal · arXiv - Morphisms between indecomposable objects in the bounded derived category of a gentle algebra
K. Arnesen, R. Laking and D. Pauksztello
Journal of Algebra, Volume 467, 1-366 (2016).
Journal · arXiv
Survey articles and other materials
- Bricks and mutation
R. Laking
in Proceedings of the 20th Workshop and International Conference on Representations of Algebras
To appear in the EMS series of congress reports. - Infinite-dimensional representations of algebra
R. Laking
in Modern Trends in Algebra and Representation Theory
London Math. Soc. Lecture Note Ser. Vol. 486, CUP (2023), 109–145.
Journal - The shape of a module category
R. Laking
LMS Newsletter feature article (Issue: 494 - May 2021).
PDF - Krull-Gabriel dimension and the Ziegler spectrum
R. Laking
in Proceedings of the 17th Workshop and International Conference on Representations of Algebras
Contemporary Mathematics, Volume 705, 115-130 (2018).
Journal
Short CV
| Dates | Place | Position |
|---|---|---|
| Dec 2024 - present | Università degli Studi di Verona, Italy | Associate professor |
| Dec 2021 - Nov 2024 | Università degli Studi di Verona, Italy | Lecturer (RtdB) |
| Apr 2021 - Nov 2021 | Università degli Studi di Verona, Italy | Postdoctoral researcher |
| Jan 2021 - Mar 2021 | Università degli Studi di Verona, Italy | Marie Skłodowska-Curie fellow |
| Oct 2020 - Dec 2021 | Hausdorff Research Institute for Mathematics, Bonn, Germany | Junior Trimester Program |
| Jan 2019 - Sept 2020 | Università degli Studi di Verona, Italy | Marie Skłodowska-Curie fellow |
| Oct 2017 - Sept 2018 | MPIM, Bonn, Germany | Postdoctoral researcher |
| Oct 2016 - Sept 2017 | Universität Bonn, Germany | Postdoctoral researcher |
| Jun 2016 - Aug 2016 | University of Manchester, UK | Postdoctoral researcher |
| Sept 2012 - May 2016 | University of Manchester, UK | PhD student (Advisor: Mike Prest, Title: String Algebras in Representation Theory ) |