Stevo Todorčević FRSC is a Serbian-born Canadian-French mathematician specializing in mathematical logic and set theory. He holds a Canada Research Chair in mathematics at the University of Toronto, and a director of research position at the Centre national de la recherche scientifique in Paris.
Todorčević in 1984
|Born||February 9, 1955 (age 64)|
|Alma mater||University of Belgrade|
|Awards||Balkan Mathematical Society First Prize 1980, 1982|
Gödel Lecturers 2016
|Institutions||University of Toronto |
|Thesis||Results and Independence Proofs in Combinatorial Set Theory (1979)|
|Doctoral advisor||Đuro Kurepa|
Early life and education
Todorčević was born in Ubovića Brdo. As a child he moved to Banatsko Novo Selo, and went to school in Pančevo. 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.
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. 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.
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.[PP] He published a second monograph, Introduction to Ramsey Spaces, in 2010.[IRS] He is also the author of a more introductory textbook, Topics in Topology (1997).[TT]
Awards and honours
Todorčević is the winner of
- the first prize of the Balkan Mathematical Society for 1980 and 1982,
- the 2012 CRM-Fields-PIMS prize in mathematical sciences, and
- the Shoenfield prize of the Association for Symbolic Logic for "outstanding expository writing in the field of logic" in 2013, for his book Introduction to Ramsey Spaces.[IRS]
He was selected by the Association for Symbolic Logic as their 2016 Gödel lecturer.
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. In 2016 Todorčević became a fellow of the Royal Society of Canada.
|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.|
|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.|
- Canada Research Chairholders: Stevo Todorcevic, retrieved 2012-03-07.
- Department of Mathematics, Stevo Todorcevic, Canada Research Chair Professor
- Rešavač „nerešivih“ problema
- „Uroš Predić“ Grammar School, Pančevo
- Stevo Todorčević, memories of Ž. Miloradović
- Larson 2012, p. 281
- Larson 2012, p. 290
- Larson (2012), p. 291.
- Laflamme, Claude (2011), "Introduction to Ramsey Spaces", Book reviews, Bulletin of Symbolic Logic, 17 (2): 269–270, doi:10.1017/S1079898600000585, MR 2839793
- Le 6ème Congrès Européen de Mathématiques Cracovie, 2 au 7 Juillet 2012
- Stevo Todorcevic (Toronto) receives 2012 CRM-Fields-PIMS Prize, Fields Institute, retrieved 2012-03-07.
- Stevo Todorcevic receives 2013 Shoenfield Prize for a book, ASL, retrieved 2014-07-07
- The Twenty-seventh Annual Gödel Lecture 2016: Stevo Todorcevic
- Membership, Serbian Academy, retrieved 2012-03-07.
- Eight U of T science faculty join Royal Society of Canada as fellows
- Larson, Jean A. (2012), "Infinite combinatorics", in Gabbay, Dov M.; Kanamori, Akihiro; Woods, John (eds.), 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
- CRM Fields PIMS Prize Lecture: Prof. Stevo Todorcevic (photo album)
- CRM-Fields-PIMS Prize Lecture: Stevo Todorcevic (University of Toronto)
- Stevo Todorcevic at University of Toronto
- Stevo Todorcevic at Institut de mathématiques de Jussieu – Paris Rive Gauche
- Todorčević najcenjeniji (Todorčević most respected)(in Serbian)
- Dispute over Infinity Divides Mathematicians by Natalie Wolchover, Quanta Magazine, November 26, 2013; contains some comments on choices of axioms for set theory
- Stevo Todorcevic at Institute for Advanced Study
- Prof. Todorčević Interview(in Serbian)