2026 Saharon Shelah: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Computer Science	73	1566	1519	32	30	1259	25401
Mathematics	81	136	113	3	3	1619	30294

Research.com Recognitions

2026 - Research.com Mathematics in Israel Leader Award
2025 - Research.com Mathematics in Israel Leader Award
2023 - Research.com Mathematics in Israel Leader Award
2013 - Steele Prize for Seminal Contribution to Research
2012 - Member of Academia Europaea
2001 - Wolf Prize in Mathematics for his many fundamental contributions to mathematical logic and set theory, and their applications within other parts of mathematics.
1992 - George Pólya Prize
1991 - Fellow of the American Academy of Arts and Sciences

Overview

Saharon Shelah is affiliated with the Hebrew University of Jerusalem in Israel. Their research spans the disciplines of mathematics and computer science, with a particular focus on advanced fields and theoretical aspects of these areas.

The main fields of study they have contributed to include:

Mathematics
Computer Science

Within these broad categories, their work touches on several subfields such as:

Geometry and Topology
Computational Theory and Mathematics
Mathematical Physics
Discrete Mathematics and Combinatorics
Algebra and Number Theory

Their main research topics cover diverse areas within mathematics and logic, including:

Advanced Topology and Set Theory
Computability, Logic, AI Algorithms
Limits and Structures in Graph Theory
Mathematical and Theoretical Analysis
Rings, Modules, and Algebras
Mathematical Dynamics and Fractals
Homotopy and Cohomology in Algebraic Topology

Recent publications from Saharon Shelah include:

Infinite combinatorics in mathematical biology, 2021, Biosystems
Divide and Conquer: Dividing Lines and Universality, 2021, Theoria

Although not authored by Shelah, certain recent papers affiliated with their research network or frequent collaborators include:

A Borel maximal eventually different family, 2023, Annals of Pure and Applied Logic
A BOREL MAXIMAL COFINITARY GROUP, 2023, Journal of Symbolic Logic
Keisler's order is not simple (and simple theories may not be either), 2021, Advances in Mathematics

Frequent coauthors with whom Saharon Shelah has collaborated include:

Haim Horowitz
M. Malliaris
Gianluca Paolini
Martin Goldstern
Mohammad Golshani

Their work has been published regularly in the following venues:

Annals of Pure and Applied Logic
arXiv (Cornell University)
Israel Journal of Mathematics
Journal of Symbolic Logic
Acta Mathematica Academiae Scientiarum Hungaricae

Throughout their career, Saharon Shelah has received several awards, including:

Steele Prize for Seminal Contribution to Research, 2013
Member of Academia Europaea, 2012
Wolf Prize in Mathematics, 2001, for contributions to mathematical logic and set theory and their applications within other parts of mathematics
George Pólya Prize, 1992
Fellow of the American Academy of Arts and Sciences, 1991

Best Publications

Classification theory and the number of non-isomorphic models

Saharon Shelah

1680
Citations
On the temporal analysis of fairness

Dov Gabbay;Amir Pnueli;Saharon Shelah;Jonathan Stavi

1099
Citations
Proper and Improper Forcing

Saharon Shelah

811
Citations
A combinatorial problem; stability and order for models and theories in infinitary languages.

Saharon Shelah

657
Citations
Martin's Maximum, saturated ideals and non-regular ultrafilters. Part II

Matthew Dean Foreman;Menachem Magidor;Saharon Shelah

533
Citations
Fixed-point extensions of first-order logic

Yuri Gurevich;Saharon Shelah;Saharon Shelah

432
Citations
The monadic theory of order

Saharon Shelah

401
Citations
Can you take Solovay’s inaccessible away?

Saharon Shelah;Saharon Shelah

381
Citations
Infinite abelian groups, whitehead problem and some constructions

Saharon Shelah

332
Citations
Zero-one laws for sparse random graphs

Saharon Shelah;Joel Spencer

292
Citations
Simple unstable theories

Saharon Shelah

268
Citations
Primitive recursive bounds for van der Waerden numbers

Saharon Shelah

263
Citations
Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory

Saharon Shelah;Saharon Shelah

244
Citations
A weak version of ◊ which follows from 2ℵ 0<2ℵ 1

Keith J. Devlin;Keith J. Devlin;Saharon Shelah;Saharon Shelah

222
Citations
Every two elementarily equivalent models have isomorphic ultrapowers

Saharon Shelah

214
Citations
Classification of non elementary classes II abstract elementary classes

Saharon Shelah

214
Citations
Categoricity for abstract classes with amalgamation

Saharon Shelah;Saharon Shelah

209
Citations
A compactness theorem for singular cardinals, free algebras, Whitehead problem and tranversals

Saharon Shelah;Saharon Shelah;Saharon Shelah

205
Citations
Finite diagrams stable in power

Saharon Shelah

202
Citations
There may be simple Pℵ1 and Pℵ2-points and the Rudin-Keisler ordering may be downward directed

Andreas Blass;Saharon Shelah

202
Citations
The Small Index Property for ω‐Stable (ω‐Categorical Structures and for the Random Graph

Wilfrid Hodges;Ian Hodkinson;Daniel Lascar;Saharon Shelah

197
Citations

Frequent Co-Authors

Yuri Gurevich University of Michigan–Ann Arbor

Andreas Blass University of Michigan–Ann Arbor

Joel Spencer Courant Institute of Mathematical Sciences

Manfred Droste Leipzig University

Shai Ben-David University of Waterloo

Neil Immerman University of Massachusetts Amherst

Ehud Hrushovski University of Oxford

Tomasz Łuczak Adam Mickiewicz University in Poznań

Amir Pnueli Weizmann Institute of Science

Paul Erdös Hungarian Academy of Sciences

External Links

Wikipedia of Saharon Shelah Personal website of Saharon Shelah Google Scholar page

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