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
Projections between topological Ramsey spaces In Preparation
Full mad families of vector spaces and two local Ramsey theories To Appear
Fundamenta Mathematicae
Weak A2 spaces, the Kastanas game and strategically Ramsey sets To Appear
Journal of Symbolic Logic
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
Invited Talks
Feb 2026
There is a completely separable mad family of vector spaces
Set theory seminar, University of Toronto
Ontario, Canada
Nov 2025
Projections between topological Ramsey spaces Lightning Talk
Infinite Structural Ramsey Theory, Banff International Research Station
Alberta, Canada
Oct 2025
Definability of mad families of vector spaces and the fullness property
North American Descriptive Set Theory Meeting, Brin Mathematics Research Center
Maryland, USA
Mar 2025
Mad families of vector spaces
Set theory seminar, University of Toronto
Ontario, Canada
Feb 2025
Weak A2 spaces, the Kastanas game and strategically Ramsey sets
Logic seminar, University of Waterloo
Ontario, Canada
Nov 2024
An alternative proof to the Mathias-Silver theorem using the Kastanas game
CMS Winter Meeting 2024
British Columbia, Canada
Oct 2024
Weak A2 spaces, the Kastanas game and strategically Ramsey sets
Logic seminar, University of Maryland
Maryland, USA
Mar 2024
Weak A2 spaces and Ramsey games
Set theory seminar, University of Toronto
Ontario, Canada