# Alexander S. Kechris

**Alexander Sotirios Kechris** (Greek: Αλέξανδρος Σωτήριος Κεχρής; born March 23, 1946) is a set theorist and logician at the California Institute of Technology.

Alexander S. Kechris | |
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Alexander S. Kechris (left) | |

Born | |

Nationality | Greek |

Scientific career | |

Fields | Mathematics |

Institutions | California Institute of Technology |

Doctoral advisor | Yiannis N. Moschovakis |

## Contributions

Kechris has made contributions to the theory of Borel equivalence relations and the theory of automorphism groups of uncountable structures. His research interests cover foundations of mathematics, mathematical logic and set theory and their interactions with analysis and dynamical systems.

Kechris earned his Ph.D. in 1972 under the direction of Yiannis N. Moschovakis, with a dissertation titled *Projective Ordinals and Countable Analytic Sets*. During his academic career he advised 23 PhD students and sponsored 20 postdoctoral researchers.

In 2012 he became an Inaugural Fellow of the American Mathematical Society.[1]

## Honors

- 1986 - Invited Speaker at the International Congress of Mathematicians in Berkeley (Mathematical Logic & Foundations) [2]
- 1998 - a Gödel lecturer (Current Trends in Descriptive Set Theory). [3]
- 2003 - received along with Gregory Hjorth the Karp Prize for joint work on Borel equivalence relations, in particular for their results on turbulence and countable Borel equivalence relations[4]
- 2004 - Tarski Lecturer (
*New Connections Between Logic, Ramsey Theory and Topological Dynamics*) [5]

## Selected publications

- A. S. Kechris, "Classical Descriptive Set Theory", Springer-Verlag, 1995.
- H. Becker, A. S. Kechris, "The descriptive set theory of Polish group actions" (London Mathematical Society Lecture Note Series), University of Cambridge, 1996.
- A. S. Kechris, V. G. Pestov and S. Todorcevic, "Fraïssé limits, Ramsey theory and topological dynamics of automorphism groups", Geometric and Functional Analysis 15 (1) (2005), 106-189.
- A. S. Kechris, "Global Aspects of Ergodic Group Actions", Mathematical Surveys and Monographs, 160, American Mathematical Society, 2010.[6]

## References

- List of Fellows of the American Mathematical Society, retrieved 2013-01-27.
- ICM Plenary and Invited Speakers since 1897
- "ASL Gödel Lecturers". Archived from the original on 2016-10-21. Retrieved 2017-04-21.
- "ASL Karp Prize Recipients". Archived from the original on 2017-03-06. Retrieved 2017-04-21.
- 2004 Tarski Lectures
- Weiss, Benjamin (2014). "Review:
*Global aspects of ergodic group actions*by Alexander S. Kechris" (PDF).*Bull. Amer. Math. Soc. (N.S.)*.**51**(1): 163–168. doi:10.1090/s0273-0979-2013-01422-8.