Moti Gitik

Moti Gitik 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" 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.

Moti Gitik

Research

Selected publications