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Luca Motto Ros

Address: Albert-Ludwigs-Universität Freiburg
Mathematisches Institut - Abteilung für Logik
Eckerstraße, 1 - 79104 Freiburg im Breisgau, Germany
E-mail: "luca.motto.ros" followed by @ and the affiliation (
Phone: +49 - (0)761 - 203 5613
Fax: +49 - (0)761 - 203 5608

I currently work as assistant professor at the Logic Department of the University of Freiburg. Previously, I was a post-doc for three years (Oct 2007-Sep 2010) at the Kurt Gödel Research Center for Mathematical Logic (chair: Sy D. Friedman) at the University of Vienna. I got my PhD from the Polytechnic of Turin in 2007 under the direction of Riccardo Camerlo, professor at the Polytechnic of Turin, and Alessandro Andretta, professor at the University of Turin.

Set Theory Workshop in Freiburg, June 10 - 13, 2014

Research interests

Mathematical Logic, more specifically, Set Theory; even more specifically: Descriptive Set Theory, Wadge Theory, the Axiom of Determinacy and its consequences, Analytic Equivalence Relations and Quasi-orders.


The preprints of my papers can also be found on arXiv.

Refereed Journals

  1. A new characterization of the Baire class 1 functions, Real Analysis Exchange 34 (2008/2009), no. 1, 29-48 (20 pages).
  2. Borel-amenable reducibilities for sets of reals, Journal of Symbolic Logic 74 (2009), no. 1, 27-49 (23 pages).
  3. A new proof of a theorem of Jayne and Rogers, joint work with Brian Semmes, Real Analysis Exchange 35 (2010), no. 1, 195-203 (9 pages).
  4. Baire reductions and good Borel reducibilities, Journal of Symbolic Logic 75 (2010), no. 1, 323-345 (23 pages).
  5. Beyond Borel-amenability: scales and superamenable reducibilities, Annals of Pure and Applied Logic 161 (2010), 829-836 (8 pages).
  6. Game representations of classes of piecewise definable functions, Mathematical Logic Quarterly 57 (2011), no.1, 95-112 (18 pages).
  7. Analytic equivalence relations and bi-embeddability, joint work with Sy-D. Friedman, Journal of Symbolic Logic 76 (2011), no. 1, 243-266 (24 pages).
  8. On the complexity of the relations of isomorphism and bi-embeddability, Proceedings of the American Mathematical Society 140 (2012), no. 1, 309-323 (15 pages).
  9. Invariantly universal analytic quasi-orders, joint work with Riccardo Camerlo and Alberto Marcone, Transactions of the American Mathematical Society 365 (2013), no. 4, 1901-1931 (31 pages).
  10. Some observations on "A new proof of a theorem of Jayne and Rogers", joint work with Miroslav Kačena and Brian Semmes, Real Analysis Exchange 38 (2012/2013), no. 1, 121-132 (12 pages).
  11. The descriptive set-theoretical complexity of the embeddability relation on models of large size, Annals of Pure and Applied Logic 164 (2013), 1454-1492 (39 pages).
  12. On the structure of finite level and omega-decomposable Borel functions, Journal of Symbolic Logic 78 (2013), no. 4, 1257-1287 (31 pages).
  13. Bad Wadge-like reducibilities on the Baire space, Fundamenta Mathematicae 224 (2014), no. 1, 67-95 (29 pages).
  14. Lipschitz and uniformly continuous reducibilities on ultrametric Polish spaces, joint work with Philipp Schlicht in: V. Brattka, H. Diener, and D. Spreen (Eds.), Logic, Computation, Hierarchies, Ontos Mathematical Logic 4, de Gruyter, Berlin, Boston, 2014, pp. 213-258 (46 pages).
  15. Wadge-like reducibilities on arbitrary quasi-Polish spaces, joint work with Philipp Schlicht and Victor Selivanov, accepted for publication on Mathematical Structures in Computer Science (50 pages).


  1. General reducibilities for sets of reals, PhD thesis, Polytechnic of Turin, 2007 (thesis advisors: A. Andretta and R. Camerlo).
  2. Metodi effettivi in teoria degli insiemi: la topologia di Gandy-Harrington, degree thesis, University of Turin, 2003 (thesis advisor: A. Andretta).

Slides of some talks

Curriculum Vitae

My CV (in english) (last update: August 27 2014).



Association for Symbolic Logic
European Set Theory Society
AILA (Associazione Italiana di Logica e sue Applicazioni)
Mathematical logicians in Turin
University of Turin - Department of Mathematics
Polytechnic of Turin - Department of Mathematics
University of Vienna - Kurt Gödel Research Center for Mathematical Logic

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