Descriptive Set Theory

  • Continuity of universally measurable homomorphisms, Forum of Mathematics, Pi (2019), Vol. 7, e5, 20 pages, pdf.

  • Compact metrizable structures and classification problems (joint with J. Zielinski), J. Symb. Logic 83 (2018), no. 1, 165–186, pdf.

  • The isomorphism relation for separable C*-algebras, (joint with G. A. Elliott, I. Farah, V. I. Paulsen, A. S. Toms and A. Törnquist), Math. Res. Lett. 20 (2013), no. 6, 1071-1080, pdf.

  • Descriptive Classification Theory and Separable Banach Spaces, Notices of the American Mathematical Society, October 2011, 1251-1262, pdf.

  • Universally measurable subgroups of countable index J. Symbolic Logic 75 (2010), no. 3, 1081-1086, pdf.

  • Automatic continuity of group homomorphisms. Bull. Symbolic Logic 15 (2009), no. 2, 184-214, pdf.

  • Descriptive Kakutani equivalence, (joint with B. D. Miller) Journal of the European Mathematical Society 12 (2010), no. 1, 179-219, pdf.

  • The complexity of classifying separable Banach spaces up to isomorphism, (joint with V. Ferenczi and A. Louveau) J. London Math. Soc. 79 (2009), no. 2, 323-345, pdf.

  • Turbulence, amalgamation and generic automorphisms of homogeneous structures, (joint with A. S. Kechris), Proc. London Math. Soc. 94 (2007), no. 2, 302-350, pdf.

  • Isomorphisms of Borel full groups, (joint with B. D. Miller) Proc. Amer. Math. Soc. 135 (2007), no. 2, 517-522, pdf.

  • Complete analytic equivalence relations, (joint with A. Louveau) Trans. Amer. Math. Soc. 357 (2005), no. 12, 4839-4866, pdf.

  • Cofinal families of Borel equivalence relations and quasiorders. J. Symbolic Logic 70 (2005), no. 4, 1325-1340, pdf.

  • The complexity of continuous embeddability between dendrites, (joint with A. Marcone) J. Symbolic Logic 69 (2004), no. 3, 663-673, pdf.

  • Relations d'equivalence analytiques completes, (joint with A. Louveau), C. R. Acad. Sci. Paris Ser. I Math. 333 (2001), no. 10, 903-906, pdf.