Moti Gitik

Moti Gitik
מוטי גיטיק
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/

Moti Gitik (Hebrew: 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.

Gitik discovered several methods for building models of ZFC with complicated Cardinal Arithmetic structure. His main results deal with consistency and equi-consistency of non-trivial patterns of the Power Function over singular cardinals.

External links

• Moti Gitik at the Mathematics Genealogy Project