Residence Toronto, Canada | Doctoral advisor Duro Kurepa Name Stevo Todorcevic | |
 | ||
Fields Ramsey TheorySet TheorySet-theoretical TopologyAnalysis Institutions University of TorontoCNRS Thesis Rezultati i dokazi nezavisnosti u kombinatornoj teoriji skupova (1979) | ||
Stevo Todorcevic: Walks on Ordinals and Their Characteristics
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.
Contents
- Stevo Todorcevic Walks on Ordinals and Their Characteristics
- Early life and education
- Research
- Awards and honours
- References
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.
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. 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
He was also 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.
