Stevo Todorčević Explained

Stevo Todorčević
Field:	mathematical logic set theory Banach space theory topological dynamics set-theoretic topology
Work Institutions:	University of Toronto CNRS
Alma Mater:	University of Belgrade
Doctoral Advisor:	Đuro Kurepa
Doctoral Students:	Ilijas Farah Justin T. Moore
Thesis Title:	Results and Independence Proofs in Combinatorial Set Theory
Thesis Year:	1979
Prizes:	Balkan Mathematical Society First Prize 1980, 1982 CRM-Fields-PIMS 2012 Shoenfield 2013 Gödel Lecturers 2016

Stevo Todorčević (Serbian: 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.

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.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.

Awards and honours

Todorčević is the winner of

• the first prize of the Balkan Mathematical Society for 1980 and 1982,^[6]
• the 2012 CRM-Fields-PIMS prize in mathematical sciences,^[7] 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.^[8]

He was selected by the Association for Symbolic Logic as their 2016 Gödel Lecturer.^[9]

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.^[10] In 2016 Todorčević became a fellow of the Royal Society of Canada.^[11]

Todorčević has been described as "the greatest Serbian mathematician" since the time of Mihailo Petrović Alas.^[12]

Books

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

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

See also

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

Sources

• .
• RSC Fellowship Citation and Detailed Appraisal: Stevo Todorcevic

External links

• 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)
• 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

Notes and References

1. http://www.chairs-chaires.gc.ca/chairholders-titulaires/profile-eng.aspx?profileId=1387 Canada Research Chairholders: Stevo Todorcevic
2. http://www.math.toronto.edu/cms/people/faculty/todorcevic-stevo/ Department of Mathematics, Stevo Todorcevic, Canada Research Chair Professor
3. http://www.danas.rs/danasrs/drustvo/terazije/resavac_neresivih_problema.14.html?news_id=281356 Rešavač „nerešivih“ problema
4. http://www.goethe.de/ins/cs/sr/bel/lhr/pas/pss/5428421.html „Uroš Predić“ Grammar School, Pančevo
5. http://digilander.libero.it/generacija102/ucenici/IV5/stevo/secanje_zm.html Stevo Todorčević, memories of Ž. Miloradović
6. http://smf.emath.fr/files/6ecm-cracovie-2012.pdf Le 6ème Congrès Européen de Mathématiques Cracovie, 2 au 7 Juillet 2012
7. http://www.fields.utoronto.ca/press/11-12/111214Todorcevic.html Stevo Todorcevic (Toronto) receives 2012 CRM-Fields-PIMS Prize
8. https://aslonline.org/asl-information/prizes-and-awards/shoenfield-prize-recipients/ Stevo Todorcevic receives 2013 Shoenfield Prize for a book
9. https://aslonline.org/asl-information/prizes-and-awards/godel-lecturers/ The Twenty-seventh Annual Gödel Lecture 2016: Stevo Todorcevic
10. http://www.sanu.ac.rs/English/Clanstvo/Clan.aspx?arg=1331, Membership
11. http://thevarsity.ca/2016/09/25/eight-u-of-t-science-faculty-join-royal-society-of-canada-as-fellows/ Eight U of T science faculty join Royal Society of Canada as fellows
12. Web site: 2017-01-25. GEDELOV PREDAVAČ. 2020-07-16. Galaksija Nova. sr-RS.