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/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, submitted. arXiv.

Notes

This is a collection of my side projects, which consist of results I obtained for some interesting problems I encountered during my research.

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

Talks

• 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).