Topics in algebraic topology

Funder	Engineering and Physical Sciences Research Council
Recipient Organization	University of Sheffield
Country	United Kingdom
Start Date	Sep 30, 2024
End Date	Mar 30, 2028
Duration	1,277 days
Number of Grantees	2
Roles	Student; Supervisor
Data Source	UKRI Gateway to Research
Grant ID	`2934932`

Grant Description

The project will involve various questions about the topological Hochschild homology of commutative ring spectra and their relationship with algebraic K-theory, building on the results used by Burklund, Hahn, Levy and Schlank in their recent disproof of Ravenel's Telescope Conjecture.

In particular, those authors prove various results about truncated Brown-Peterson spectra, and we hope to prove results about other spectra that are analogous but more precise.