I’m mostly working on set theory and Ramsey theory. In particular, I’m interested in studying Ramsey theory in topological Ramsey space-like spaces, where the pigeonhole principle fails. I’m also interested in expanding the framework of local Ramsey theory to such spaces.

Papers

• Weak A2 spaces, the Kastanas game and strategically Ramsey sets, submitted. arXiv.

Preprints

• MAD families of Gowers' infinite block sequences, arXiv.

Talks

• An alternative proof to the Mathias-Silver theorem using the Kastanas game, CMS Winter Meeting 2024, University of Victoria (Nov 2024).
• Weak A2 spaces, the Kastanas game and strategically Ramsey sets, Logic Seminar, University of Maryland (Oct 2024). Slides.
• Weak A2 spaces and Ramsey games, Fields Institute, University of Toronto (Mar 2024).