Laertis Vaso

From October 2021 to September 2024 I was a postdoctoral fellow at the Department of Mathematical Sciences of the Norwegian University of Science and Technology. My mentor was Steffen Oppermann. Previously I was a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn, where my mentor was Jan Schröer. Before that, I completed my PhD at the Department of Mathematics of Uppsala University under the supervision of Martin Herschend. My research is in representation theory of finite-dimensional algebras, mainly concerning higher-dimensional Auslander–Reiten theory and the global dimension of algebras.

Research interests

A crucial notion in higher dimensional Auslander–Reiten theory is that of the so-called n-cluster tilting modules and subcategories. Furthermore, due to the homological nature of this theory, an important role is played by the global dimension of the underlying algebra. In my research I try to answer questions about both of these notions. 

First I try to construct and classify n-cluster tilting modules and subcategories that exhibit interesting properties. Secondly, I am interested in the global dimension of algebras, especially those which admit n-cluster tilting modules. To these ends I have been focusing on some special classes of algebras like Nakayama algebras, representation-directed algebras and radical square zero algebras and I have used tools such as algebra epimorphisms and categorical limits to construct algebras where one can both confirm the existence of an n-cluster tilting module and control the global dimension. 

Publications

Preprints

Accepted for publication

Published

Invited talks

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Past

Contributed talks

Conference and Workshop participation

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Past

Research visits

Teaching

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Thesis supervision

Reading Seminars

Teaching assistant

Organisation of conferences and seminars

Outreach

Contact

email: laertis dot vaso @ gmail dot com