# 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

1. Forcing positive partition relations. Trans. Amer. Math. Soc. 280 (1983), no. 2, 703–720.
2. A note on the proper forcing axiom. Axiomatic set theory (Boulder, Colo., 1983), 209–218, Contemp. Math., 31, Amer. Math. Soc., Providence, RI, 1984.
3. Directed sets and cofinal types. Trans. Amer. Math. Soc. 290 (1985), no. 2, 711–723.
4. Partition relations for partially ordered sets. Acta Mathematica 155 (1985), no. 1-2, 1–25.
5. Partitioning pairs of countable ordinals, Acta Mathematica, 159 (1987), 261-294.
6. A classification of transitive relations on $\omega_1$, Proceedings of the London Mathematical Society,(3) 73 (1996), 501-533.
7. Analytic gaps. Fund. Math. 150 (1996), no. 1, 55–66.
8. Basis problems in combinatorial set theory, Proceedings of the International Congress of Mathematicians, Berlin 1998. Documenta Mathematica-Extra Volume ICM 1998-II-43-52.
9. Compact subsets of the first Baire class, Journal of the American Mathematical Society. 12 (1999), 1179- 1212.
10. A dichotomy for P-ideals of countable sets. Fund. Math. 166 (2000), no. 3, 251–267.
11. Generic absoluteness and the continuum. Math. Res. Lett. 9 (2002), no. 4, 465–471.
12. A problem of von Neumann and Maharam about algebras supporting continuous submeasures. Fund. Math. 183 (2004), no. 2, 169–183.
13. Biorthogonal systems and quotient spaces via Baire category methods. Math. Ann. 335 (2006), no. 3, 687–715.
14. Lipschitz maps on trees. J. Inst. Math. Jussieu 6 (2007), no. 3, 527–556.
15. Combinatorial dichotomies in set theory, Bulletin of Symbolic Logic. Vol 17 (2011), 1-72.

## Recent prizes and honors

1. 2012 CRM-Fields-PIMS Prize
2. 2014-2013 Shoenfield Prize