Kechris Alexandros

Professor

USA

California

Athens, 1946

California Institute of Technology (Caltech)

Division of Physics, Mathematics and Astronomy

Department of Mathematics


Education
1964-69: National Technical University of Athens (NTUA), School of Mechanical
and Electrical Engineering. 1969: Diploma in Mechanical and Electrical
Engineering. 1969-72: University of California at Los Angeles (UCLA), Department
of Mathematics. 1972: Ph.D. in Mathematics, UCLA.
Employment
1972-74: C.L.E. Moore Instructor, M.I.T. 1972-74/1974-76: Assistant Professor, Caltech.
1976-81: Associate Professor, Caltech. 1981-: Professor, Caltech.
1994-97: Executive Officer (Chair) for Mathematics, Caltech. 1978-79: Visiting
Professor, University of Paris VII (1st semester).
Selected Books and Other Publications

  1. (With A. Louveau) Descriptive Set Theory and the Structure of Sets of
    Uniqueness, London Math. Society Lecture Note Series, 128, Cambridge Univ.
    Press, Cambridge, 1987 (reprinted in 1989).
  2. Classical Descriptive Set Theory, Graduate Texts in Mathematics, 156,
    Springer-Verlag, New York, 1995.
  3. (With H. Becker) The Descriptive Set Theory of Polish Group Actions,
    London Math. Society Lecture Note Series, 232, Cambridge University Press,
    Cambridge, 1996.
  4. (With B.D. Miller) Topics in Orbit Equivalence, Lecture Notes in Mathematics,
    1852, Springer, 2004.
  5. Global aspects of ergodic group actions, Math. Surveys and Monographs,
    160, Amer. Math. Soc., 2010.
  6. (Co-editor with B. Löwe, J.R. Steel) The Cabal Seminar, Volumes I-IV,
    Lecture Notes in Logic, Cambridge University Press, 2020.
  7. (With L. Harrington and A. Louveau) A Glimm-Effros dichotomy for
    Borel equivalence relations. J. Amer. Math. Soc. 3 (1990), no. 4, 903-928.
  8. (with A. Louveau) The classication of hypersmooth Borel equivalence
    relations. J. Amer. Math. Soc. 10 (1997), no. 1, 215-242.
  9. (with S. Adams) Linear algebraic groups and countable Borel equivalence
    relations. J. Amer. Math. Soc. 13 (2000), no. 4, 909-943.
  10. (with S. Gao) On the classication of Polish metric spaces up to isometry.
    Mem. Amer. Math. Soc. 161 (2003), no. 766, viii+78 pp.
  11. (With V. Pestov and S. Todorcevic) Fraissé limits, Ramsey theory, and
    topological dynamics of automorphism groups. Geom. Funct. Anal. 15 (2005), no.
    1, 106-189.
  12. (With O. Angel and R. Lyons) Random orderings and unique ergodicity
    of automorphism groups. J. Eur. Math. Soc. 16 (2014), no. 10, 2059-2095.
  13. (with R. Chen) Structurable equivalence relations. Fund. Math. 242
    (2018), no. 2, 109-185.
  14. (With V. Quorning) Co-induction and invariant random subgroups.
    Groups Geom. Dyn. 13 (2019), no. 4, 1151-1193.

Honors
1969: Honorary Award of NTUA. 1972: Academic Distinction Doctoral Award
of the Division of Physical Sciences, UCLA. 1978-80: A.P. Sloan Foundation
Fellow. 1986: 45-minute invited address at the International Congress of Mathematicians.
1987: Honorary Doctoral Degree from the University of Athens,
Greece. 1990: Invited series of lectures under the Distinguished Lecture Series
Program at Indiana University. 1998: Gödel Lecturer at the Annual Meeting of
the Association for Symbolic Logic (ASL). 1998: Visiting Miller Research
Professor, U.C. Berkeley (Fall Semester). 2002: Evelyn Nelson Lecture at
McMaster University. 2003: J.S. Guggenheim Memorial Foundation Fellow.
2003: Carol Karp Prize of the ASL (This prize is given every five years for a
connected body of research, most of which has been completed in the time since
the previous prize was awarded). 2004: Alfred Tarski Lectures at U.C. Berkeley.
2007: Erdös Colloquium Lecture, University of Florida. 2012: Inaugural
Fellow of the American Mathematical Society (AMS). 2017: Trjitzinsky Memorial
Lectures, University of Illinois at Urbana-Champaign. 2018: Rademacher
Lectures, University of Pennsylvania.
Selected Professional Activities
1983-89, 2007-2012: Member of the Council of the ASL. 2001-2004: Member
of the Executive Committee of the ASL. 2004-2007: President of the ASL.
1984: Member of the Faculty Electoral Committee for the Department of Mathematics,
University of Crete, Greece. 1985, 1990: Chairman of the Program
Committee of the Annual Meeting of the ASL. 2002: Chairman of the Program
Committee of the Annual European ASL Summer Meeting. 2006-2020:
Member of the Scientic Research Board of the American Institute of Mathematics
(AIM). 2007: Member of a scientic advisory panel of the President
of Greece. 2009: Member of the Organizing Committee of the workshop on
Large Cardinals and Descriptive Set Theory, E. Schrödinger International Institute
for Mathematical Physics, Vienna. 2013: Member of the Organizing
Committee of the Trimester Program on Universality and Homogeneity, Hausdorff
Research Institute for Mathematics, Bonn. 2015: Member of the Scientific
Advisory Committee, Program on the Mathematical, Foundational and Computational
Aspects of the Higher Infinite, Isaac Newton Institute for Mathematical
Sciences, Cambridge. 2018: Member of the Organizing Committee of the conference
on Descriptive Set Theory, Bernoulli Center, Lausanne.
1983-89: Editor, Journal of Symbolic Logic (JSL). 1985-87: Coordinator
of Editors, JSL. 1992-2012: Editor, Mathematical Logic Quarterly. 1994-:
Editor, Fundamenta Mathematicae. 1993-1999: Editor, Bulletin of Symbolic
Logic. 1997-2006: Editor, Electronic Research Announcements of the AMS.
1999-: Associate Editor, Journal of Mathematical Logic. 2001-2007: Editor
of the book series “Studies in Logic and the Foundations of Mathematics”,
Elsevier. 2003-2009: Editor, Annals of Pure and Applied Logic. 2003-2009:
Associate Editor, Journal of the AMS. 2006-: Editor, Journal of Logic and
Analysis. 2007-: Editorial board member, Topology and Its Applications.
2020-: Senior Editor, Mathematics Research Reports.