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.

Papers/Preprints

• Definability of mad families of vector spaces and two local Ramsey theories, submitted. arXiv.
• Weak A2 spaces, the Kastanas game and strategically Ramsey sets, to appear in the Journal of Symbolic Logic. arXiv.

Notes

This collection of side projects presents results I obtained while working on interesting problems that arose during my research.

• Mad families of Gowers' infinite block sequences. arXiv.

Invited Talks/Travels

• There is a completely separable mad family of vector spaces, Set theory seminar, University of Toronto, Ontario, Canada (Feb 2026). Slides.
• Projections between topological Ramsey spaces, Infinite Structural Ramsey Theory, Banff International Research Station, Alberta, Canada (Nov 2025).
• Definability of mad families of vector spaces and the fullness property, North American Descriptive Set Theory Meeting, Brin Mathematics Research Center, Maryland, USA (Oct 2025). Slides.
• Mad families of vector spaces, Set theory seminar, University of Toronto, Ontario, Canada (Mar 2025). Slides.
• Weak A2 spaces, the Kastanas game and strategically Ramsey sets, Logic seminar, University of Waterloo, Ontario, Canada (Feb 2025). Slides.
• An alternative proof to the Mathias-Silver theorem using the Kastanas game, CMS Winter Meeting 2024, British Columbia, Canada (Nov 2024). Slides.
• Weak A2 spaces, the Kastanas game and strategically Ramsey sets, Logic seminar, University of Maryland, Maryland, USA (Oct 2024). Slides.
• Weak A2 spaces and Ramsey games, Set theory seminar, University of Toronto, Ontario, Canada (Mar 2024).