World's Best Scientists 2026 revealed!

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Mathematics

D-Index
43
Citations
12982
World Ranking
1652
National Ranking
712

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2002 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1978 - Fellow of Alfred P. Sloan Foundation

Overview

Alexander S. Kechris is affiliated with the California Institute of Technology in the United States. Their research primarily spans the fields of Mathematics and Computer Science, with notable contributions within the subfields of Geometry and Topology, Computational Theory and Mathematics, and Mathematical Physics. Their work also touches upon Discrete Mathematics and Combinatorics as well as Theoretical Computer Science.

The scientist's main research topics include:

  • Advanced Topology and Set Theory
  • Computability, Logic, AI Algorithms
  • Advanced Operator Algebra Research
  • Advanced Algebra and Logic
  • Homotopy and Cohomology in Algebraic Topology
  • Semigroups and automata theory
  • Advanced Banach Space Theory

Alexander S. Kechris has participated in publishing papers across several academic venues, including:

  • arXiv (Cornell University)
  • Ergodic Theory and Dynamical Systems
  • New Zealand Journal of Mathematics
  • Contemporary Mathematics - American Mathematical Society
  • Israel Journal of Mathematics

Recent papers by the scientist include:

  • "On Polish groups admitting non-essentially countable actions," 2020, Ergodic Theory and Dynamical Systems
  • "Quasi-invariant measures for continuous group actions," 2020, Contemporary Mathematics - American Mathematical Society
  • "Realizations of countable Borel equivalence relations," 2021, arXiv (Cornell University)
  • "Global aspects of measure preserving equivalence relations and graphs," 2021, New Zealand Journal of Mathematics
  • "Lifts of Borel actions on quotient spaces," 2022, Israel Journal of Mathematics

They have collaborated frequently with several co-authors, notably:

  • Joshua Frisch
  • Forte Shinko
  • Michael Wolman
  • Maciej Malicki
  • Aristotelis Panagiotopoulos

Alexander S. Kechris is also an author of the book "Nine Mathematical Challenges," published in 2021 by the American Mathematical Society.

The scientist has been recognized with several fellowships including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of John Simon Guggenheim Memorial Foundation (2002)
  • Fellow of Alfred P. Sloan Foundation (1978)

Best Publications

  • Classical descriptive set theory

    Alexander S. Kechris

  • The descriptive set theory of Polish group actions

    Howard Paul Becker;Alexander S. Kechris

  • Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups

    A. S. Kechris;V. G. Pestov;S. Todorcevic

  • A Glimm-Effros dichotomy for Borel equivalence relations

    L. A. Harrington;A. S. Kechris;A. Louveau

  • Topics in orbit equivalence

    Alexander S. Kechris

  • TURBULENCE, AMALGAMATION, AND GENERIC AUTOMORPHISMS OF HOMOGENEOUS STRUCTURES

    Alexander S. Kechris;Christian Rosendal;Christian Rosendal

  • The structure of hyperfinite Borel equivalence relations

    R. Dougherty;S. Jackson;A. S. Kechris

  • Countable Borel equivalence relations

    Steve Jackson;Alexander S. Kechris;Alain Louveau

  • BOREL CHROMATIC NUMBERS

    A. S. Kechris;Slawomir Solecki;S. Todorcevic

  • Descriptive Set Theory and the Structure of Sets of Uniqueness

    Alexander S. Kechris;Alain Louveau

  • Global Aspects of Ergodic Group Actions

    Alexander S. Kechris

  • On the classification of Polish metric spaces up to isometry

    Su Gao;Alexander S. Kechris

  • The classification of hypersmooth Borel equivalence relations

    Alexander S. Kechris;Alain Louveau

  • The Structure of σ-Ideals of Compact Sets

    A. S. Kechris;A. Louveau;W. H. Woodin

  • Rigidity Theorems For Actions Of Product Groups And Countable Borel Equivalence Relations

    Greg Hjorth;Alexander S. Kechris

  • Measure and category in effective descriptive set theory

    Alexander S. Kechris

  • Borel equivalence relations and classifications of countable models

    Greg Hjorth;Alexander S. Kechris

  • Linear algebraic groups and countable Borel equivalence relations

    Scot Adams;Alexander S. Kechris

  • Countable sections for locally compact group actions

    Alexander S. Kechris

  • The theory of countable analytical sets

    Alexander S. Kechris

  • Descriptive Set Theory and the Structure of Sets of Uniqueness: REFERENCES

    Alexander S. Kechris;Alain Louveau

  • The Descriptive Set Theory of Polish Group Actions: ACTIONS OF POLISH GROUPS

    Howard Becker;Alexander S. Kechris

Frequent Co-Authors

Stevo Todorcevic
Stevo Todorcevic University of Toronto
Benjamin Weiss
Benjamin Weiss Hebrew University of Jerusalem
Russell Lyons
Russell Lyons Indiana University
Samuel R. Buss
Samuel R. Buss University of California, San Diego
Anand Pillay
Anand Pillay University of Notre Dame
Phokion G. Kolaitis
Phokion G. Kolaitis University of California, Santa Cruz
Vitaly Bergelson
Vitaly Bergelson The Ohio State University

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