World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
4112
World Ranking
3499
National Ranking
1357

Research.com Recognitions

  • 2015 - Fellow of the American Mathematical Society For contributions to logic, computability theory, and Turing structures.

Overview

Carl G. Jockusch is affiliated with the University of Illinois at Urbana-Champaign in the United States. Their academic work spans several fields with a focus on computer science and mathematics, particularly in computational theory, logic, and related applications.

Their main fields of study include:

  • Computer Science
  • Mathematics

The scientist explores subfields such as:

  • Computational Theory and Mathematics
  • Statistics and Probability

Key topics in their research cover areas like:

  • Computability, Logic, AI Algorithms
  • Cellular Automata and Applications
  • Benford's Law and Fraud Detection

Among their recent publications is the paper titled "Coarse computability, the density metric, Hausdorff distances between Turing degrees, perfect trees, and reverse mathematics", published in 2023 in the Journal of Mathematical Logic.

Frequent collaborators include:

  • Denis R. Hirschfeldt
  • Paul E. Schupp

The Journal of Mathematical Logic has been a venue for their published work.

In recognition of their contributions, Carl G. Jockusch was named a Fellow of the American Mathematical Society in 2015 for their work in logic, computability theory, and Turing structures.

Best Publications

  • Π⁰₁ classes and degrees of theories

    Carl G. Jockusch;Robert I. Soare

  • Semirecursive sets and positive reducibility

    Carl G. Jockusch

  • On the strength of Ramsey's theorem for pairs

    Peter A. Cholak;Carl G. Jockusch;Theodore A. Slaman

  • Ramsey's Theorem and Recursion Theory

    Carl G. Jockusch

  • An algebraic decomposition of the recursively enumerable degrees and the coincidence of several degree classes with the promptly simple degrees

    Klaus Ambos-Spies;Carl G. Jockusch;Richard A. Shore;Robert I. Soare

  • Degrees of members of $\Pi^0_1$ classes.

    Carl G. Jockusch;Robert I. Soare

  • Pseudo-Jump Operators. II: Transfinite Iterations, Hierarchies and Minimal Covers

    Carl G. Jockusch;Richard A. Shore

  • Array nonrecursive sets and multiple permitting arguments

    Rod Downey;Carl Jockusch;Michael Stob

  • Every low Boolean algebra is isomorphic to a recursive one

    Rod Downey;Carl G. Jockusch

  • Array nonrecursive degrees and genericity

    Rod Downey;Carl G. Jockusch;Michael Stob

  • Degrees in Which the Recursive Sets are Uniformly Recursive

    Carl G. Jockusch

  • Double jumps of minimal degrees

    Carl G. Jockusch;David B. Posner

  • A cohesive set which is not high

    Carl Jockusch;Frank Stephan

  • Jumps of orderings

    C. J. Ash;C. G. Jockusch;J. F. Knight

  • Degrees of Functions with no Fixed Points

    Carl G. Jockusch

  • Degrees of orderings not isomorphic to recursive linear orderings

    Carl G. Jockusch;Robert I. Soare

  • Pseudojump operators. I. The r.e. case

    Carl G. Jockusch;Richard A. Shore

  • Recursively Enumerable Sets Modulo Iterated Jumps and Extensions of Arslanov's Completeness Criterion

    Carl G. Jockusch;Manuel Lerman;Robert I. Soare;Robert Solovay

  • Generic computability, Turing degrees, and asymptotic density

    Carl G. Jockusch;Paul E. Schupp

  • A degree-theoretic definition of the ramified analytical hierarchy

    Carl G. Jockusch;Stephen G. Simpson

  • The Strength of Some Combinatorial Principles Related to Ramsey's Theorem for Pairs

    Denis R. Hirschfeldt;Carl G. Jockusch;Bjørn Kjos-Hanssen;Steffen Lempp

  • Relationships between reducibilities

    Carl G. Jockusch

Frequent Co-Authors

Rodney G. Downey
Rodney G. Downey Victoria University of Wellington
Zoltán Füredi
Zoltán Füredi University of Illinois at Urbana-Champaign
Mike Paterson
Mike Paterson University of Warwick
Jeffrey B. Remmel
Jeffrey B. Remmel University of California, San Diego
John C. Mitchell
John C. Mitchell Stanford University
Stephen G. Simpson
Stephen G. Simpson Pennsylvania State University

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