Moti Gitik

Moti Gitik
Alma mater	Hebrew University of Jerusalem
Awards	Karp Prize (2013)
Scientific career
Fields	Set theory
Institutions	Tel Aviv University
Thesis	All Uncountable Cardinals can be Singular  (1980)
Doctoral advisors	Azriel Levy Menachem Magidor
Website	math.tau.ac.il/~gitik/

Mordechai "Moti" Gitik (Hebrew: מרדכי ״מוטי״ גיטיק) is a mathematician, working in set theory, who is professor at the Tel-Aviv University. He was an invited speaker at the 2002 International Congresses of Mathematicians, and became a fellow of the American Mathematical Society in 2012.

Research

Gitik proved the consistency of "all uncountable cardinals are singular" (a strong negation of the axiom of choice) from the consistency of "there is a proper class of strongly compact cardinals". He further proved the equiconsistency of the following statements:

• There is a cardinal κ with Mitchell order κ⁺⁺.
• There is a measurable cardinal κ with 2^κ > κ⁺.
• There is a strong limit singular cardinal λ with 2^λ > λ⁺.
• The GCH holds below ℵ_ω, and 2^ℵ_ω=ℵ_ω+2.

Selected publications

• Moti Gitik, "The power set function", Proceedings of the ICM, Beijing 2002, vol. 1, 507–513. Also arXiv.

See also

• Moti Gitik at the Mathematics Genealogy Project