PhD thesis
Synthetic modular forms | DOI | local PDF
To be defended on 11 November 2025.
My thesis consists of my expository paper on filtered and synthetic spectra, and modified versions of the two papers joint with Carrick and Davies linked below.
Papers
Entries appear in reverse chronological order of first appearance.
Introduction to filtered and synthetic spectra | arXiv | local PDF
Expository paper; based on first part of my PhD thesis.
26 September 2025. Preprint.
Cellularity of chromatic synthetic spectra | arXiv | local PDF
Joint with Shaul Barkan.
2 May 2025. Preprint.
The descent spectral sequence for topological modular forms | arXiv | local PDF
Joint with Christian Carrick and Jack Davies.
2 December 2024. Preprint, submitted.
Descent spectral sequences through synthetic spectra | DOI | arXiv | local PDF
Joint with Christian Carrick and Jack Davies.
International Mathematics Research Notices (IMRN), 15 (2025).
Published 24 July 2025.
The K-theory cochains of H-spaces and height 1 chromatic homotopy theory | arXiv | local PDF
With a joint appendix with Max Blans.
Last updated 4 March 2025.
To appear in Algebraic & Geometric Topology (AGT).
Topological phases and K-theory | local PDF
Bachelor’s thesis.
6 July 2019.