Isaac Bird
bird (at) karlin.mff.cuni.cz
bird (at) karlin.mff.cuni.cz
I am a postdoctoral reseacher in the Department of Algebra at Charles University, Prague. My research is currently funded by the Primus grant “Categorical Knörrer periodicity, cluster categories and tensor triangulated geometry”, which also funds the research of Sebastian Opper (PI) and Jordan Williamson.
Between 08/2020 and 12/2022, I was a researcher on Liran Shaul's grant 'Cohen-Macaulay rings and their applications in higher algebra and topology'.
I completed a PhD in Pure Mathematics at the University of Manchester under the supervision of Prof. Mike Prest in 09/2019.
Homological algebra.
Purity and definability in abelian and triangulated categories.
Gorenstein homological algebra and its connections.
Purity, ascent and periodicity for Gorenstein flat cotorsion modules. Journal of the London Mathematical Society (2025).
The homological spectrum via definable subcategories. Bulletin of the London Mathematical Society (2025). Joint with J. Williamson.
Finitistic dimensions over commutative DG-rings. Mathematische Zeitschrift (2025). Joint with L. Shaul, P. Sridhar and J. Williamson.
Duality pairs, phantom maps, and definability in triangulated categories, Proc. Roy. Soc. Edinburgh Sect. A (2024). Joint with J. Williamson.
Cotilting with balanced big Cohen-Macaulay modules, Journal of Algebra (2023).
Two definable categories of maximal Cohen-Macaulay modules, Journal of Pure and Applied Algebra (2020).
The shift-homological spectrum and parametrising kernels of rank functions. (2025). Joint with J. Williamson and A. Zvonareva.
Definable functors between triangulated categories. (2023). Joint with J. Williamson.