Stevo Todorčević

Stevo Todorčević
Todorčević in 1984
Born February 9, 1955 (1955-02-09) (age 63)
Ubovića Brdo, Yugoslavia (now Bosnia and Herzegovina)
Residence Toronto, Canada
Nationality Serbia
Alma mater University of Belgrade
Awards Balkan Mathematical Society first prize 1980, 1982
CRM-Fields-PIMS 2012
Shoenfield 2013
Gödel Lecturers 2016
Scientific career
Fields
Institutions University of Toronto
CNRS
Thesis Results and Independence Proofs in Combinatorial Set Theory (1979)
Doctoral advisor Đuro Kurepa

Stevo Todorčević FRSC is a Canadian-French-Serbian mathematician specializing in mathematical logic and set theory. He holds a Canada Research Chair in mathematics at the University of Toronto,[1] and a director of research position at the Centre national de la recherche scientifique (CNRS) in Paris.

Early life and education

Todorčević was born in Ubovića Brdo. As a child he moved to Banatsko Novo Selo,[2] and went to school in Pančevo.[3] At Belgrade University, he studied pure mathematics, attending lectures by Đuro Kurepa. He began graduate studies in 1978, and wrote his doctoral thesis in 1979 with Kurepa as his advisor.[4]

Research

Todorčević's work involves mathematical logic, set theory, and their applications to pure mathematics.

In Todorčević's 1978 master’s thesis, he constructed a model of MA + ¬wKH in a way to allow him to make the continuum any regular cardinal, and so derived a variety of topological consequences. Here MA is an abbreviation for Martin's axiom and wKH stands for the weak Kurepa Hypothesis.[5] In 1980, Todorčević and Abraham proved the existence of rigid Aronszajn trees and the consistency of MA + the negation of the continuum hypothesis + there exists a first countable S-space.[6]

In 1987 he published the result in infinitary combinatorics that it is possible to assign an uncountable number of colors to the pairs of countable ordinal numbers, in such a way that every uncountable subset of these ordinals includes pairs of all colors.[AM] As part of establishing this result Todorčević devised the rho functions. This was one of the subjects of his talk at the Berlin International Congress of Mathematicians.[ICM]

In 1989 Todorčević published a monograph, Partition Problems in Topology.[7][PP] He published a second monograph, Introduction to Ramsey Spaces, in 2010.[8][IRS] He is also the author of a more introductory textbook, Topics in Topology (1997).[TT]

Awards and honours

Todorčević is the winner of

He was selected by the Association for Symbolic Logic as their 2016 Gödel lecturer.[12]

He became a corresponding member of the Serbian Academy of Sciences and Arts as of 1991 and a full member of the Academy in 2009.[13] In 2016 Todorčević became a fellow of the Royal Society of Canada.[14]

Selected publications

Books

PP.Todorčević, Stevo (1989), Partition problems in topology, Contemporary Mathematics, 84, Providence, RI: American Mathematical Society, doi:10.1090/conm/084, ISBN 0-8218-5091-1, MR 0980949 .
TT.Todorcevic, Stevo (1997), Topics in topology, Lecture Notes in Mathematics, 1652, Berlin: Springer-Verlag, doi:10.1007/BFb0096295, ISBN 3-540-62611-5, MR 1442262 .
IRS.Todorcevic, Stevo (2010), Introduction to Ramsey spaces, Annals of Mathematics Studies, 174, Princeton, NJ: Princeton University Press, doi:10.1515/9781400835409, ISBN 978-0-691-14542-6, MR 2603812 .

Papers

AM.Todorčević, Stevo (1987), "Partitioning pairs of countable ordinals", Acta Mathematica, 159 (3–4): 261–294, doi:10.1007/BF02392561, MR 0908147 .
ICM.Todorcevic, Stevo (1998), "Basis problems in combinatorial set theory", Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), Documenta Mathematica (Extra Vol. II): 43–52, MR 1648055 .

References

  1. ↑ Canada Research Chairholders: Stevo Todorcevic, retrieved 2012-03-07.
  2. ↑ Rešavač „nerešivih“ problema
  3. ↑ „Uroš Predić“ Grammar School, Pančevo
  4. ↑ Stevo Todorčević, memories of Ž. Miloradović
  5. ↑ Larson 2012, p. 281
  6. ↑ Larson 2012, p. 290
  7. ↑ Larson (2012), p. 291.
  8. ↑ Laflamme, Claude (2011), "Introduction to Ramsey Spaces", Book reviews, Bulletin of Symbolic Logic, 17 (2): 269–270, doi:10.1017/S1079898600000585, MR 2839793
  9. ↑ Le 6ème Congrès Européen de Mathématiques Cracovie, 2 au 7 Juillet 2012
  10. ↑ Stevo Todorcevic (Toronto) receives 2012 CRM-Fields-PIMS Prize, Fields Institute, retrieved 2012-03-07.
  11. ↑ Stevo Todorcevic receives 2013 Shoenfield Prize for a book, ASL, retrieved 2014-07-07
  12. ↑ The Twenty-seventh Annual Gödel Lecture 2016: Stevo Todorcevic
  13. ↑ Membership, Serbian Academy, retrieved 2012-03-07.
  14. ↑ Eight U of T science faculty join Royal Society of Canada as fellows

Sources

  • Larson, Jean A. (2012), "Infinite combinatorics", in Gabbay, Dov M.; Kanamori, Akihiro; Woods, John, Sets and extensions in the twentieth century, Handbook of the History of Logic, 6, Amsterdam: Elsevier/North-Holland, pp. 145–357, doi:10.1016/B978-0-444-51621-3.50003-7, ISBN 978-0-444-51621-3, MR 3409860 .
  • RSC Fellowship Citation and Detailed Appraisal: Stevo Todorcevic
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