Rank functions on triangulated categories, homotopy theory and representations of finite groups
Lead Research Organisation:
City St George’s, University of London
Department Name: Sch of Engineering and Mathematical Sci
Abstract
Abstracts are not currently available in GtR for all funded research. This is normally because the abstract was not required at the time of proposal submission, but may be because it included sensitive information such as personal details.
People |
ORCID iD |
| Joseph Chuang (Principal Investigator) |
Publications
Bayinder HO
(2023)
ADJUNCTION OF ROOTS, ALGEBRAIC K-THEORY AND CHROMATIC REDSHIFT
Bayinder HO
(2023)
ALGEBRAIC K-THEORY OF THE TWO-PERIODIC FIRST MORAVA K-THEORY
Booth M
(2025)
Nonsmooth Calabi-Yau structures for algebras and coalgebras
Chuang J
(2021)
Rank functions on triangulated categories
in Journal für die reine und angewandte Mathematik (Crelles Journal)
Chuang J
(2023)
One-sided localisation in dg categories
Chuang J
(2024)
Cohomology of Lie coalgebras
| Description | The work on rank functions has been continued, leading to a publication which appeared in October 2021. Further research has been developed on rank functions, one-sided localisations, algebraic K-theory, dg coLiealgebras and Calabi-Yau and Gorenstein algebras. A preprint on one-sided localisation was produced in 2023. Two preprints on Algebraic K-Theory were produced in 2023, and one of these has been accepted for publication. A preprint on Koszul duality for dg coLiealgebras was produced in 2024. A preprint on Calabi-Yau structures was produced in 2025. A manuscript on the algebraic K-theory of finite abelian groups is in preparation. |
| Exploitation Route | The outcomes will be of interest and use to mathematicians. |
| Sectors | Other |