Aran Tattar
Maths
I used to be a research mathematician specialising in algebra (representation theory, homological algebra, category theory, stability conditions, ... ). You can find a copy of my academic CV here (updated 05/09/23).
Publications
1. Stability spaces of string and band modules;
(with S Schroll, H Treffinger, Y Valdivieso and N J Williams.)
Journal of Pure and Applied Algebra (2023): Volume 228, Issue 4. doi:10.1016/j.jpaa.2023.107503 , arXiv:2208.15000
2. Intersections, sums, and the Jordan-Hölder property for exact categories;
(with T Brüstle and S Hassoun.)
Journal of Pure and Applied Algebra (2021): Volume 225, Issue 11. doi: 10.1016/j.jpaa.2021.106724 , arXiv:2006.03505
3. Torsion pairs and quasi-abelian categories;
Algebras and Representation Theory 24, 1557–1581 (2021). doi: 10.1007/s10468-020-10004-yy, arXiv:1907.10025.
PhD Thesis: Torsion structures, subobjects and unique filtrations in non-abelian categories;
Universität zu Köln (2022) Access here: kups.ub.uni-koeln.de/61013/
Preprints
1. Weak stability conditions and the space of chains of torsion classes;
(with H Treffinger.)
Preprint, arXiv:2306.08589 (2023)
2. A geometric perspective on the τ-cluster morphism category;
(with S Schroll, H Treffinger and N J Williams.)
Preprint, arXiv:2302.12217 (2023)
3. Stratifying systems and Jordan-Hölder extriangulated categories;
(with T Brüstle, S Hassoun and A Shah.)
Preprint, arXiv:2208.07808 (2022)
4. Right triangulated categories: As extriangulated categories, aisles and co-aisles;
Preprint, arXiv:2106.09107 (2021)
Music
- Passierte Tomaten
New songs roughly every other week!
A small music collective from Köln of no fixed genre
To listen: Soundcloud , YouTube
- AVNT GARDS
Alternative rock band from my time in Leicester.
Contact
Email for maths: atattar[at]uni-koeln.de