Stevo Todorčević

Stevo Todorčević
Born	1955 Ubovića Brdo, Yugoslavia (now Bosnia and Herzegovina)
Alma mater	University of Belgrade
Awards	CRM-Fields-PIMS 2012 Shoenfield 2013
Scientific career
Fields	Ramsey theory mathematical analysis set theory set-theoretic topology
Institutions	University of Toronto CNRS
Thesis	Rezultati i dokazi nezavisnosti u kombinatornoj teoriji skupova  (1979)
Doctoral advisor	Đuro Kurepa

Stevo Todorčević is a Serbian-French-Canadian mathematician, known for his research in Ramsey theory, mathematical analysis, set theory, and set-theoretic topology. 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 earned his Ph.D. from the Serbian University of Belgrade in 1979, and was a Miller Research Fellow in Berkeley from 1983 to 1985.

He is a member of the Serbian Academy of Sciences and Arts, and is the winner of the 2012 CRM-Fields-PIMS prize in mathematical sciences, and of the 2013 Shoenfield prize.

Mathematical work

Todorcevic

• made major contributions to the study of S- and L-spaces in topology,
• proved a remarkable classification theorem for transitive relations on the first uncountable ordinal,
• made a deep study of compact subsets of the Baire class 1 functions thus continuing work of Bourgain, Fremlin, Talagrand, and others in Banach space theory.
• completed (together with P. Larson ) the solution of Katetov’s old compact spaces metrization problem
• made major contributions (with co-authors) to the von Neumann and Maharam problems on Boolean algebras, the theory of non-separable Banach spaces, including the solution of an old problem of Davis and Johnson,
• solved a long standing problem of Laver,
• developed of a duality theory relating finite Ramsey theory and topological dynamics.

P. Erdös made an explicit appreciation of Todorovic's contributions to mathematics by writing: "Very recently Todorcevic proved $\aleph _{1}\vdash \sideset {}{_{\eta _{1}}^{2}}[\aleph _{1}]$. This certainly is an unexpected and sensational result".

Advisory work

One of his PhD students, Ilijas Farah won 1997 Sacks Prize for his PhD, The PhD was received on June, 1997, at the University of Toronto.

External links

• Papers by Stevo Todorcevic [1]
• Stevo Todorcevic at Institut de Mathématiques de Jussieu - Paris Rive Gauche [2]
• Todorčević najcenjeniji (Todorčević most respected) [3]