Studies

My name is Sota Asai.
I got a PhD on 27th September in 2018 under the supervision of Prof. Osamu Iyama.
I mainly study on representation theory of finite-dimensional algebras over a field.
In particular, I am interested in numercial or combinatorial properties of modules over such algebras.

Papers

• Sota Asai, The Grothendieck Groups and Stable Equivalences of Mesh Algebras, Algebra and Representation Theory, 21, Issue 3 (2018), 635–681, https://doi.org/10.1007/s10468-017-9732-x.
• Sota Asai, Semibricks, International Mathematics Research Notices, https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rny150/5049384.

Preprints

• Sota Asai, Bricks over preprojective algebras and join-irreducible elements in Coxeter groups, arXiv:1712.08311.