Stevo Todorčević
Stevo Todorčević | |
---|---|
Born | February 9, 1955 | (age 69)
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
- the first prize of the Balkan Mathematical Society for 1980 and 1982,[9]
- the 2012 CRM-Fields-PIMS prize in mathematical sciences,[10] 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.[11][IRS]
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, vol. 84, Providence, RI: American Mathematical Society, doi:10.1090/conm/084, ISBN 0-8218-5091-1, MR 0980949.
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TT. | Todorcevic, Stevo (1997), Topics in topology, Lecture Notes in Mathematics, vol. 1652, Berlin: Springer-Verlag, doi:10.1007/BFb0096295, ISBN 3-540-62611-5, MR 1442262.
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IRS. | Todorcevic, Stevo (2010), Introduction to Ramsey spaces, Annals of Mathematics Studies, vol. 174, Princeton, NJ: Princeton University Press, doi:10.1515/9781400835409, ISBN 978-0-691-14542-6, MR 2603812.
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Papers
AM. | Todorčević, Stevo (1987), "Partitioning pairs of countable ordinals", Acta Mathematica, 159 (3–4): 261–294, doi:10.1007/BF02392561, MR 0908147.
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ICM. |
References
- ^ Canada Research Chairholders: Stevo Todorcevic, retrieved 2012-03-07.
- ^ 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
Sources
- 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, vol. 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
External links
- CRM-Fileds-PIM Prize Lecture: Stevo Todorcevic on Walks on Ordinals and Their Characteristics by Assaf Rinot
- 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)Template:Sr icon
- 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 InterviewTemplate:Sr icon
- Living people
- Serbian mathematicians
- Canadian mathematicians
- Combinatorialists
- Set theorists
- Topologists
- Mathematical analysts
- Canada Research Chairs
- Members of the Serbian Academy of Sciences and Arts
- Fellows of the Royal Society of Canada
- University of Toronto faculty
- University of Paris faculty
- University of Belgrade Faculty of Mathematics alumni
- 20th-century mathematicians
- 21st-century mathematicians
- 1955 births
- Tarski lecturers
- Canadian people of Serbian descent
- Serbs of Bosnia and Herzegovina