About me
Hello and welcome to my academic website!
I am a mathematician specializing in set theory, particularly infinite combinatorics, forcing and set-theoretic topology.
I am a Postdoctoral Fellow in the Department of Mathematics at the University of Toronto, working under the mentorship of Prof. Stevo Todorcevic Previously, I held a postdoctoral fellowship at the Hebrew University of Jerusalem’s Einstein Institute of Mathematics, where I worked with Prof. Yair Hayut . I completed my PhD at Bar-Ilan University under the supervision of Prof. Assaf Rinot .
Feel free to reach out at royshalev2 [at] gmail [dot] com
Publications and Preprints
Papers:
- A guessing principle from a Souslin tree with applications to topology , (with Assaf Rinot), In Topology Appl., volume 323, 2023.
- A new small Dowker space (with Assaf Rinot and Stevo Todorcevic), In Period. Math. Hungar., volume 88, 2024.
- Cofinal types below ℵω , In The Journal of Symbolic Logic , Volume 89, Issue 4, December 2024, pp. 1581 - 1606.
- More minimal non-σ-scattered linear orders , In European Journal of Mathematics, Accepted October 2024.
Preprints:
- [A dichotomy for transitive lists] (with Stevo Todorcevic and Borisa Kuzeljevicv), Submitted in November 2025.