I’m Preston Cranford, and I’m a PhD student in mathematics at Northwestern University advised by Ben Antieau. In the 2026-2027 school year I am applying for jobs. My CV is here: [PDF].

Research Papers

Generalized Thom Spectra, Conjugate Stacks, and truncated Brown-Peterson Spectra. [arXiv].

Finding Bounded Simplicial Sets with Finite Homology with Peter Rowley. [arXiv].

Projective toric varieties of codimension 2 withmaximal Castelnuovo-Mumford regularity with Alan Peng, and Vijay Srinivasan. [J. Pure Appl. Algebra]. [arXiv].

Biconed graphs, weighted forests, and h-vectors of matroid complexes with Anton Dochtermann, Evan Haithcock, Joshua Marsh, Suho Oh, and Anna Truman. [Electron. J. Combin.]. [arXiv].

Other Resources

I wrote notes on my talk “K(1)-local Power Operations” at European Talbot 2025. [PDF].

I wrote notes on my talk “Syntomic Cohomology of $\mathbb{Z}$ and $\ell$” at Talbot 2024. [PDF].

In the Spring 2024 quarter I co-organized a seminar on synthetic spectra.