Luca Motto Ros
I'm a tenuretrack researcher (ricercatore TD di tipo B) at the
Mathematics Department
of the
University of Turin.
Previously, I was a postdoc for three years (Oct 2007Sep 2010) at the Kurt Gödel Research
Center for Mathematical Logic (chair: Sy
D. Friedman) at the University of Vienna, and then an assistant professor at the
Logic Department
of the
University of Freiburg (Oct 2010Sep 2014).
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.
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 Quasiorders, Generalised Descriptive Set Theory.
Publications
The preprints of my papers can also be found on arXiv.
Refereed Journals

A new
characterization of the Baire class 1 functions,
Real Analysis Exchange 34 (2008/2009), no. 1, 2948 (20 pages).

Borelamenable reducibilities for sets of reals,
Journal of Symbolic Logic 74 (2009), no. 1, 2749 (23 pages).
 A new proof of a
theorem of Jayne and Rogers,
joint work with Brian Semmes,
Real Analysis Exchange 35 (2010), no. 1, 195203 (9 pages).
 Baire reductions and good Borel
reducibilities,
Journal of Symbolic Logic 75 (2010), no. 1, 323345 (23 pages).
 Beyond
Borelamenability: scales and superamenable reducibilities,
Annals of Pure and Applied Logic 161 (2010), 829836 (8 pages).
 Game representations of classes of piecewise
definable functions, Mathematical Logic Quarterly 57
(2011), no.1, 95112 (18 pages).
 Analytic equivalence relations and biembeddability, joint work with SyD. Friedman,
Journal of Symbolic Logic 76 (2011), no. 1, 243266 (24 pages).
 On the complexity of the relations of isomorphism
and biembeddability, Proceedings of the American Mathematical Society 140 (2012), no. 1, 309323 (15 pages).
 Invariantly universal analytic quasiorders, joint work
with
Riccardo Camerlo and Alberto
Marcone, Transactions of the American Mathematical Society 365 (2013), no. 4, 19011931 (31 pages).

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, 121132 (12 pages).

The descriptive settheoretical complexity of the embeddability relation on models of large size, Annals of Pure and Applied Logic 164 (2013), 14541492 (39 pages).

On the structure of finite level and omegadecomposable Borel functions, Journal of Symbolic Logic 78 (2013), no. 4, 12571287 (31 pages).

Bad Wadgelike reducibilities on the Baire space, Fundamenta Mathematicae 224 (2014), no. 1, 6795 (29 pages).

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. 213258 (46 pages).

Wadgelike reducibilities on arbitrary quasiPolish spaces, joint work with Philipp Schlicht and Victor Selivanov, accepted for publication on Mathematical Structures in Computer Science (50 pages).
Preprints and papers in preparation

The Hurewicz dichotomy for generalized Baire spaces,
joint work with Philipp Luecke and
Philipp Schlicht, preprint, submitted.

On isometry and isometric embeddability between metric and ultrametric Polish spaces, joint work
with
Riccardo Camerlo and Alberto
Marcone, preprint, submitted.

Souslin quasiorders, definable cardinality, and the classification of uncountable structures and
nonseparable spaces up to biembeddability, joint work
with Alessandro Andretta, in preparation.

A classification of \Delta^0_2functions and a boundness theorem, in preparation.
Others

Hierarchies of complexity for sets, functions, and binary relations, Habilitationsschrift (thesis for obtaining my German habilitation), AlbertLudwigsUniversität Freiburg, 2014. The thesis consists of an introduction plus 10 of my papers. All of them may be found here, together with some other material related to my Habilitation procedure.

General reducibilities
for sets of reals,
PhD thesis, Polytechnic of Turin, 2007 (thesis advisors: A. Andretta and R. Camerlo).

Metodi effettivi in teoria degli insiemi: la topologia di
GandyHarrington,
degree thesis, University of Turin, 2003 (thesis advisor: A. Andretta).
Slides of some talks
 Here are the slides of my talk at the "XX Congresso dell'Unione Matematica Italiana" (September
2015) concerning the classification of locally compact Polish ultrametric spaces up to isomorphism and biembeddability (joint work with Riccardo Camerlo and Alberto Marcone).
 Here are the slides of my talk at the "Amsterdam Workshop on Set Theory 2014" (November
2014) concerning the generalization of the Hurewicz dichotomy to the context of generalized descriptive set theory (joint work with Philipp Luecke and Philipp Schlicht).
 Here are the slides of my talk at the meeting "Set Theory" held in Oberwolfach (January
2014) concerning the descriptive settheoretical complexity of the embeddability relation on uncountable models. This is a continuation of the work presented at the Logic Colloquium 2011 in Barcelona and is partially joint work with Alessandro Andretta and Heike Mildenberger.

Here are the slides of my talk at the "Descriptive Set Theory in Paris" meeting (December
2013) concerning Lipschitz and uniformly continuous reducibilities on arbitrary ultrametric Polish spaces (partially joint work with P. Schlicht).

Here are the slides of my talk at the Dagstuhl seminar "Duality in Computer Science" (August 2013)
concerning Wadgelike reducibilities on arbitrary quasiPolish spaces (joint work with Philipp Schlicht and Victor Selivanov).
 Here are the slides of my talk at the "Descriptive Set Theory in Paris" meeting (December
2012) concerning the structure of finite level and \omegadecomposable Borel functions.
 Here are the slides of my talk in the Set Theory special session of the Logic Colloquium 2011 held in Barcelona (July 2011) concerning the universality of the relation of embeddability among models of size a weakly compact cardinal.
 Here are the slides of my
talk at the KGRC of Vienna (January
2010) concerning the relations of isomorphism and
biembeddability.
 Here are the slides of my
talk at the "ESI workshop on large cardinals and descriptive set theory" held in Vienna (June
2009) concerning (partial results on) invariantly universal analytic quasiorders
(partially joint work with Sy D. Friedman and Riccardo Camerlo).
 Here are the slides of my talk at the "Descriptive Set Theory in Paris" meeting (December
2008) concerning analytic equivalence relations and
biembeddability (joint work with Sy D. Friedman).
 Here are the slides of my talk in Amsterdam
(August 2007) concerning Borel reducibilities for sets of reals
(generalizations of the Wadge structure).
Curriculum Vitae
My
CV in English and in Italian (last update: September 17 2015).
Teaching
Links
Logic group at the University of Turin (mirror site; page of the group in the Mathematics Department site)
Association for Symbolic Logic
European Set Theory Society
AILA (Associazione Italiana di Logica e sue Applicazioni)
University of Turin
 Department of Mathematics
Polytechnic of Turin
 Department of Mathematics
University of Freiburg

Logic Department
University of Vienna
 Kurt Gödel Research
Center for Mathematical Logic