Stevo Todorcevic
Institut de Mathématiques de Jussieu - Paris Rive Gauche
CNRS UMR 7586
75205 Paris Cedex 05
France
E-Mail: stevo_at_math.univ-paris-diderot.fr
Selected Publications
- Forcing positive partition relations. Trans. Amer. Math. Soc. 280 (1983), no. 2, 703–720.
- A note on the proper forcing axiom. Axiomatic set theory (Boulder, Colo., 1983), 209–218, Contemp. Math., 31, Amer. Math. Soc., Providence, RI, 1984.
- Directed sets and cofinal types. Trans. Amer. Math. Soc. 290 (1985), no. 2, 711–723.
- Partition relations for partially ordered sets. Acta Mathematica 155 (1985), no. 1-2, 1–25.
- Partitioning pairs of countable ordinals, Acta Mathematica, 159 (1987), 261-294.
- A classification of transitive relations on $\omega_1$, Proceedings of the London Mathematical Society,(3) 73 (1996), 501-533.
- Analytic gaps. Fund. Math. 150 (1996), no. 1, 55–66.
- Basis problems in combinatorial set theory, Proceedings of the International Congress of Mathematicians, Berlin 1998. Documenta Mathematica-Extra Volume ICM 1998-II-43-52.
- Compact subsets of the first Baire class, Journal of the American Mathematical Society. 12 (1999), 1179- 1212.
- A dichotomy for P-ideals of countable sets. Fund. Math. 166 (2000), no. 3, 251–267.
- Generic absoluteness and the continuum. Math. Res. Lett. 9 (2002), no. 4, 465–471.
- A problem of von Neumann and Maharam about algebras supporting continuous submeasures. Fund. Math. 183 (2004), no. 2, 169–183.
- Biorthogonal systems and quotient spaces via Baire category methods. Math. Ann. 335 (2006), no. 3, 687–715.
- Lipschitz maps on trees. J. Inst. Math. Jussieu 6 (2007), no. 3, 527–556.
- Combinatorial dichotomies in set theory, Bulletin of Symbolic Logic. Vol 17 (2011), 1-72.
Recent prizes and honors
- 2012 CRM-Fields-PIMS Prize
- 2014-2013 Shoenfield Prize