Stevo Todorčević

Stevo Todorčević FRSC (Serbian Cyrillic: Стево Тодорчевић; born February 9, 1955), is a Yugoslavian mathematician specializing in mathematical logic and set theory. He holds a Canada Research Chair in mathematics at the University of Toronto,[1][2] and a director of research position at the Centre national de la recherche scientifique in Paris.

Stevo Todorčević
Todorčević in 1984
BornFebruary 9, 1955 (1955-02-09) (age 69)
Ubovića Brdo, Yugoslavia (now Bosnia and Herzegovina)
Alma materUniversity of Belgrade
AwardsBalkan Mathematical Society First Prize 1980, 1982
CRM-Fields-PIMS 2012
Shoenfield 2013
Gödel Lecturers 2016
Scientific career
Fields
InstitutionsUniversity of Toronto
CNRS
Thesis Results and Independence Proofs in Combinatorial Set Theory  (1979)
Doctoral advisorĐuro Kurepa
Doctoral students
  • Ilijas Farah
  • Justin T. Moore

Early life and education

Todorčević was born in Ubovića Brdo. As a child he moved to Banatsko Novo Selo,[3] and went to school in Pančevo.[4] 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.[5]

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.[6] 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.[7]

Awards and honours

Todorčević is the winner of

  • the first prize of the Balkan Mathematical Society for 1980 and 1982,[8]
  • the 2012 CRM-Fields-PIMS prize in mathematical sciences,[9] 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.[10][IRS]

He was selected by the Association for Symbolic Logic as their 2016 Gödel Lecturer.[11]

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.[12] In 2016 Todorčević became a fellow of the Royal Society of Canada.[13]

Todorčević has been described as "the greatest Serbian mathematician" since the time of Mihailo Petrović Alas.[14]

Books

Todorčević is the author of books in mathematics that include:

  • Partition problems in topology (1989)[15]
  • Some applications of the method of forcing (with I. Farah, 1995)[16]
  • Topics in topology (1997)[17]
  • Ramsey methods in analysis (with S. A. Argyros, 2005)[18]
  • Walks on ordinals and their characteristics (2007)[19]
  • Introduction to Ramsey spaces (2010)[20]
  • Notes on forcing axioms (2014)[21]

See also

  • Baumgartner's axiom
  • Kechris–Pestov–Todorčević correspondence
  • Open coloring axiom
  • S and L spaces

References

Sources

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