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

New songs roughly every other week! 

A small music collective from Köln of no fixed genre

To listen: Soundcloud  , YouTube


Alternative rock band from my time in Leicester.

To listen: YouTube, Spotify.

Contact