Stevo Todorčević
| Stevo Todorčević | |
|---|---|
Todorčević in 1984
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| Born |
February 9, 1955 (age 62) Ubovića Brdo, Yugoslavia (now Bosnia and Herzegovina) |
| Residence | Toronto, Canada |
| Nationality | Serbia |
| Fields | |
| Institutions |
University of Toronto CNRS |
| Alma mater | University of Belgrade |
| Thesis | Results and Independence Proofs in Combinatorial Set Theory (1979) |
| Doctoral advisor | Đuro Kurepa |
| Notable awards | Balkan Mathematical Society first prize 1980, 1982 CRM-Fields-PIMS 2012 Shoenfield 2013 Gödel Lecturers 2016 |
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, and a director of research position at the Centre national de la recherche scientifique (CNRS) in Paris.
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. 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.
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