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.
Later this year, I will begin a postdoctoral position at the University of Toronto under the mentorship of Prof. Stevo Todorcevic.
Previously, 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:

1. A guessing principle from a Souslin tree with applications to topology , (with Assaf Rinot), In Topology Appl., volume 323, 2023.
2. A new small Dowker space (with Assaf Rinot and Stevo Todorcevic), In Period. Math. Hungar., volume 88, 2024.
3. Cofinal types below ℵω , In The Journal of Symbolic Logic , Volume 89, Issue 4, December 2024, pp. 1581 - 1606.
4. More minimal non-σ-scattered linear orders , In European Journal of Mathematics, Accepted October 2024.

Preprints:

5. [A dichotomy for transitive lists] (with Stevo Todorcevic and Borisa Kuzeljevicv), Submitted in November 2025.