Hiroshi Sakai

Hiroshi Sakai is a Professor at the Department of Mathematics within the Graduate School of Mathematical Sciences at the University of Tokyo. His research focuses on foundational aspects of set theory and infinite combinatorics.

• Research Interests: Large Cardinal Axioms, Forcing Axioms, and their consequences in infinite combinatorics and cardinal arithmetic. He investigates extensions of ZFC, such as those involving Large Cardinal Axioms, Forcing Axioms, and Reflection Principles.
• Publications Trends: His work spans topics like Stationary Logics, Reflection Principles, and Forcing. Notable collaborations include contributions to the Strong Downward Lowenheim-Skolem Theorem and analyses of Katetov orders on ideals.
• Activities: Editor of The Journal of Symbolic Logic (2020–present) and Councilor of The Mathematical Society of Japan (2022–2024).