Stevo Todorčević

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Stevo Todorčević 1984

Stevo Todorčević (* 1955 in Mrkonjić Grad ) is a Canadian-French-Serbian mathematician and leading mathematical logician. He is a Canada Research Chair Professor in Mathematics at the University of Toronto, and Research Director at the Center national de la recherche scientifique (CNRS) in Paris.

Stevo Todorčević received his doctorate from the University of Belgrade under beiuro Kurepa in 1979 and was a Miller Fellow at the University of California, Berkeley from 1983 to 1985 . Afterwards he was at the University of Colorado in Boulder (Ulam Research Chair 1987/88), at the Institute for Advanced Study and researched for the CNRS in Paris and at the University of Paris VII before becoming a professor in Toronto.

He organized workshops at the Mittag-Leffler Institute , the CRM in Barcelona and the Fields Institute in Toronto, among others .

He is known for his contributions to combinatorial set theory with connections to topology and analysis. In 1984 he solved the problem of the Ramsey basis of the first infinite ordinal number. He introduced his method of minimal walk on the ordinal numbers. In 1999 he used forcing methods in an unconventional way to prove theorems from analysis about compact sets of functions of Baire class 1. He dealt with Boole algebras, unseparable Banach spaces and developed one in 2005 with Alexander S. Kechris and VG Pestov Duality theory, which combines finite Ramsey theory and topological dynamics.

In 2014 he gave the Tarski Lectures and in 2012 he received the CRM-Fields-PIMS Prize . He is a member of the Serbian Academy of Sciences and Arts and, since 2016, the Royal Society of Canada . In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin (Basic problems in combinatorial set theory). In 2016 Todorcevic is invited to give the Gödel Lecture .

Fonts

Books:

  • with Argyros Spiros: Ramsey methods in analysis, Birkhäuser 2005
  • Introduction to Ramsey spaces, Princeton University Press 2010
  • Notes on forcing axioms, World Scientific 2014
  • Partition problems in topology, American Mathematical Society 1989
  • Topics in Topology, Springer Verlag 1997
  • Walks on ordinals and their characteristics, Birkhäuser 2007

Some essays:

  • A note on the proper forcing axiom, in: Axiomatic Set Theory, Boulder 1983, Contemporary Mathematics, Volume 31, 1984, pp. 209-218
  • Partitioning pairs of countable ordinals, Acta Mathematica, Vol. 159, 1987, 261-294
  • Trees and linearly ordered sets, in K. Kunen, R. Vaughan (editors), Handbook of Set-theoretic Topology, Elsevier 1984, 235-293
  • Oscillations of real numbers, in F. Drake, JK Truss (editor), Logic Colloquium 86, Elsevier 1988, pp. 325-331
  • Compact subsets of the first Baire class, Journal of the American Mathematical Society, Volume 12, 1999, pp. 1179-1212
  • with Kechris, Pestov: Fraissé limits, Ramsey theory and topological dynamics of automorphism groups, Geom. Funct. Analysis, Vol. 15, 2005, pp. 106-189
  • Combinatorial dichotomies in set theory, J. Symb. Logic, 17, 2011, 1-72
  • Chain-condition methods in topology, Topology Appl., 101, 2000, 45-82
  • Lipschitz maps on trees, J. Inst. Math. Jussieu, 6, 2007, 527-566
  • Coherent sequences, in Foreman, Kanamori: Handbook of Set Theory, Springer Verlag 2010
  • with Paul Larson: Chain conditions in maximal models , Fund. Math., Vol. 168, 2001, pp. 77-104
  • with Paul Larson: Katetov's Problem , Transactions AMS, 354, 2002, 1783–1791, online

Web links

Individual evidence

  1. RSC Fellowship Citation and Detailed Appraisal: Stevo Todorcevic
  2. Stevo Todorcevic, a Canada Research Chair Professor ( Memento of the original dated November 23, 2016 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. , retrieved 2016-11-22. @1@ 2Template: Webachiv / IABot / www.math.toronto.edu
  3. CNRS Directeurs de research de 2nd class: TODORCEVIC Stevo
  4. Stevo Todorčević in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used