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.

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]

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]

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]

Todorčević is the author of several books in mathematics, including:

• Partition Problems in Topology. Providence, R.I: American Mathematical Soc. 1989. ISBN 978-0-8218-5091-6. MR 0980949.
• (with Ilijas Farah) Some Applications of the Method of Forcing. Moscow: Yenisei. 1995. ISBN 978-5-88623-014-7. MR 1486583.
• Topics in Topology. Lecture Notes in Mathematics. Berlin ; New York: Springer. 1997. ISBN 978-3-540-62611-4. MR 1442262.
• (with Spiros A. Argyros) Ramsey Methods in Analysis. Basel ; Boston: Springer Science & Business Media. 2005. ISBN 978-3-7643-7264-4. MR 2145246.
• Walks on Ordinals and Their Characteristics. Basel: Birkhäuser. 2007. ISBN 978-3-7643-8528-6. MR 2355670. OCLC 166357947.
• Introduction to Ramsey Spaces. Annals of Mathematics Studies. Princeton: Princeton University Press. 2010. ISBN 978-0-691-14542-6. MR 2603812. OCLC 437054050.
• Notes on Forcing Axioms. New Jersey: World Scientific Publishing Company. 2014. ISBN 978-981-4571-57-9. MR 3184691.

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

• 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

• 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)