H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 81 Citations 30,867 1,291 World Ranking 62 National Ranking 3
Computer Science H-index 57 Citations 13,451 661 World Ranking 1839 National Ranking 36

Research.com Recognitions

Awards & Achievements

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

What is he best known for?

The fields of study he is best known for:

  • Discrete mathematics
  • Combinatorics
  • Algebra

His scientific interests lie mostly in Discrete mathematics, Combinatorics, Pure mathematics, Algebra over a field and Algebra. By researching both Discrete mathematics and Whitehead problem, Saharon Shelah produces research that crosses academic boundaries. His biological study spans a wide range of topics, including Consistency and Cardinality.

Simple is closely connected to Class in his research, which is encompassed under the umbrella topic of Pure mathematics. He usually deals with Algebra and limits it to topics linked to Set theory and Calculus. Saharon Shelah has researched Forcing in several fields, including Iterated function and Mathematical analysis.

His most cited work include:

  • On the temporal analysis of fairness (640 citations)
  • Proper and Improper Forcing (384 citations)
  • A combinatorial problem; stability and order for models and theories in infinitary languages. (367 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Combinatorics, Discrete mathematics, Pure mathematics, Forcing and Algebra over a field. Specifically, his work in Combinatorics is concerned with the study of Abelian group. His work on Group expands to the thematically related Abelian group.

As part of his studies on Discrete mathematics, Saharon Shelah frequently links adjacent subjects like Class. Pure mathematics and Property are frequently intertwined in his study. His Lambda study frequently draws connections to other fields, such as Kappa.

He most often published in these fields:

  • Combinatorics (60.63%)
  • Discrete mathematics (61.16%)
  • Pure mathematics (31.14%)

What were the highlights of his more recent work (between 2014-2021)?

  • Combinatorics (60.63%)
  • Discrete mathematics (61.16%)
  • Pure mathematics (31.14%)

In recent papers he was focusing on the following fields of study:

Saharon Shelah spends much of his time researching Combinatorics, Discrete mathematics, Pure mathematics, Forcing and Omega. His Combinatorics research is multidisciplinary, incorporating perspectives in Lambda, Aleph, Class, Algebra over a field and Cardinality. His Discrete mathematics research integrates issues from Set theory and Model theory.

He combines subjects such as Chain, Independence relation and Type with his study of Pure mathematics. The concepts of his Forcing study are interwoven with issues in Null, Ideal and Extension. His Omega study which covers Uncountable set that intersects with Ideal.

Between 2014 and 2021, his most popular works were:

  • Dependent theories and the generic pair conjecture (33 citations)
  • Dependent theories and the generic pair conjecture (33 citations)
  • Cofinality spectrum theorems in model theory, set theory and general topology (28 citations)

In his most recent research, the most cited papers focused on:

  • Combinatorics
  • Discrete mathematics
  • Algebra

Combinatorics, Pure mathematics, Discrete mathematics, Model theory and Order are his primary areas of study. His work on Uncountable set as part of his general Combinatorics study is frequently connected to Consistency, thereby bridging the divide between different branches of science. His Pure mathematics research is multidisciplinary, relying on both Partition and Forcing.

He works mostly in the field of Discrete mathematics, limiting it down to topics relating to Saturated model and, in certain cases, Measure. His Model theory study combines topics in areas such as Divide and conquer algorithms, Universality and Spectrum. His Order study combines topics from a wide range of disciplines, such as Simple and Conjecture.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

On the temporal analysis of fairness

Dov Gabbay;Amir Pnueli;Saharon Shelah;Jonathan Stavi.
symposium on principles of programming languages (1980)

1014 Citations

Proper and Improper Forcing

Saharon Shelah.
(1998)

551 Citations

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

Matthew Dean Foreman;Menachem Magidor;Saharon Shelah.
Annals of Mathematics (1988)

472 Citations

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

Saharon Shelah.
Pacific Journal of Mathematics (1972)

463 Citations

Classification theory and the number of non-isomorphic models

Saharon Shelah.
(1978)

461 Citations

The monadic theory of order

Saharon Shelah.
Annals of Mathematics (1975)

422 Citations

Fixed-point extensions of first-order logic

Yuri Gurevich;Saharon Shelah;Saharon Shelah.
foundations of computer science (1985)

365 Citations

Can you take Solovay’s inaccessible away?

Saharon Shelah;Saharon Shelah.
Israel Journal of Mathematics (1984)

331 Citations

Infinite abelian groups, whitehead problem and some constructions

Saharon Shelah.
Israel Journal of Mathematics (1974)

283 Citations

Zero-one laws for sparse random graphs

Saharon Shelah;Joel Spencer.
Journal of the American Mathematical Society (1988)

273 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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