Research

In preparation.

1. (With Pieter Spaas and Sofia Torelli.) Spectral theory and descriptive combinatorics for non-regular Borel pmp graphs.

Submitted for publication.

1. (With Pieter Spaas and Alexander Tenenbaum.) Spectral theory for Borel pmp graphs. [arXiv]

Published.

1. Measurable Brooks's theorem for directed graphs. To appear in Fund. Math. [arXiv]

2. (With Jan Grebík.) Complexity of finite Borel asymptotic dimension. Forum Math. Sigma 14 (2026), e31. [DOI] [arXiv] 

3. Measurable Brooks's Theorem for Directed Graphs and the Complexity of Finite Borel Asymptotic Dimension. Ph.D. thesis, 2025. [ProQuest]

1. A note on forward-recurrent sets with bounded gaps. 2023.

1. Notes on hyperfiniteness and genericity. 2025.