Alexander S. Kechris
Alexander Sotirios Kechris is a mathematician at the California Institute of Technology.
Contributions
Alekos' main research interests are in mathematical logic and its interaction with other areas of mathematics. He has made extensive contributions to the definability theory of the continuum and its connections and applications to classical analysis, harmonic analysis, ergodic theory, topological dynamics, combinatorics, computability theory and model theory.Kechris earned his Ph.D. at UCLA in 1972 under the direction of Yiannis N. Moschovakis, with a dissertation titled Projective Ordinals and Countable Analytical Sets. He was a C.L.E. Moore Instructor at MIT during 1972-1974 and has been at the California Institute of Technology since 1974. During his academic career he advised 27 PhD students and sponsored 23 postdoctoral researchers.
Honors
- 1978 - A.P. Sloan Foundation Fellow.
- 1986 - Invited Speaker at the International Congress of Mathematicians in Berkeley
- 1987 - Honorary Doctoral Degree from the University of Athens, Greece.
- 1998 - Visiting Miller Research Professor, U.C. Berkeley.
- 1998 - Gödel Lectures.
- 2002 - J.S. Guggenheim Memorial Foundation Fellow.
- 2003 - Received the Karp Prize, along with Gregory Hjorth for work on Borel equivalence relations, in particular for their results on turbulence and countable Borel equivalence relations
- 2004 - Tarski Lectures
- 2012 - Inaugural Fellow of the American Mathematical Society.
- 2017 - Trjitzinsky Memorial Lectures, University of Illinois at Urbana-Champaign.
- 2018 - Rademacher Lectures, University of Pennsylvania.
- 2024 - Brin Mathematics Research Center Distinguished Lecture, University of Maryland.
Books
- A.S. Kechris and A. Louveau, Descriptive Set Theory and the Structure of Sets of Uniqueness, London Math.Society Lecture Note Series, 128, Cambridge University Press, 1987.
- A. S. Kechris, Classical Descriptive Set Theory, Springer-Verlag, 1995.
- H. Becker, A. S. Kechris, The descriptive set theory of Polish group actions, London Math. Society Lecture Note Series, 232, Cambridge University Press, 1996.
- A.S. Kechris and B.D. Miller, Topics in Orbit Equivalence, Lecture Notes in Mathematics, 1852, Springer, 2004.
- A. S. Kechris, Global Aspects of Ergodic Group Actions, Mathematical Surveys and Monographs, 160, American Mathematical Society, 2010.
- A. S. Kechris, The theory of countable Borel equivalence relations, Cambridge Tracts in Mathematics, 234, Cambridge University Press, 2025.