Research

Publications

• Simultaneously nonvanishing higher derived limits (with Chris Lambie-Hanson), Advances in Mathematics. Early access,  ArXiv.

• Homological algebra of pro-Lie Polish abelian groups (with Alessandro Codenotti and Martino Lupini), Theory and Applications of Categories (2026). Journal 

• Nonvanishing derived limits without scales, Archive for Mathematical Logic (2026). Journal.

Preprints

• Higher limits of wider systems (with Jeffrey Bergfalk), submitted. ArXiv. 

• Projective length, phantom extensions, and the structure of flat modules (with Martino Lupini), submitted. ArXiv. 

• Nonvanishing derived limits from $\clubsuit$-type principles. ArXiv.

• Failure of the $G_0$-dichotomy for generalized Cantor spaces (with Philipp Schlicht). ArXiv 

In preparation

• Higher derived limits, Kurepa families, and Chang's conjecture (with Dianthe Basak, Chris Lambie-Hanson, Pedro Marun, Boban Velickovic, and Alessandro Vignati).

• The descriptive complexity of nonabelian $\lim^1$ (with Martino Lupini).