Alexander S. Kechris

Alexander Sotirios Kechris (* 1946) is a Greek -born American mathematical logician.

Kechris studied at the Technical University in Athens, where he graduated in mechanical and electrical engineering in 1969. He studied mathematics at the University of California, Los Angeles in Yiannis N. Moschovakis ( Projective Ordinals and countable analytic sets). In 1972 he was Moore Instructor at Massachusetts Institute of Technology. He is currently a professor at the California Institute of Technology.

Kechris deals mainly with descriptive set theory as well as applications of dynamical systems ( ergodic theory, topological dynamics) and of analysis, such as the uniqueness of Fourier series.

In 1998 he was Lecturer Godel. In 2003 he received along with Gregory Hjorth the Karp Prize for the joint work on Borel equivalence relations and special applications in the theory of turbulence in hydrodynamics and countable Borel equivalence relations. In 2004 he held the ceremony Tarski Lectures. In 1986 he was invited speaker at the International Congress of Mathematicians in Berkeley (The complexity of antidifferentiation, Denjoy totalization and hyperarithmetic reals ). He is a Fellow of the American Mathematical Society.

Writings

  • Classical Descriptive Set Theory. Springer -Verlag, 1994, ISBN 0-387-94374-9.
  • With Greg Hjorth: Rigidity theorems for actions of product groups and countable borel equivalence relations, Memoirs of the AMS, 2005
  • Benjamin D. Miller: Topics in Orbit Equivalence, Lecture Notes in Mathematics, Springer Verlag 2004
  • With Su Gao: On the classification of Polish metric spaces up to isometry, AMS 2003
  • Global aspects of ergodic group actions, AMS 2010
  • With Alain Louveau: Descriptive set theory and the structure of sets of uniqueness, Cambridge University Press 1987
  • With Howard Becker: The descriptive set theory of Polish group actions, Cambridge University Press 1996
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