Alessandro Vignati
Curriculum Vitae
Positions
March-April 2016
Postodoctoral fellowship grant to participate to Classification of
operator algebras: complexity, rigidity, and dynamics, Institut
Mittag-Leffler, Djursholm, Sweden
2013–
Visiting Researcher at Fields Institute, Toronto, Ontario, Canada
2012–
PhD student and Teaching Assistant at York University, Toronto,
Ontario, Canada
Education
2012–
Ph.D. student at York University, Toronto, Ontario, Canada
Supervisor Professor Ilijas Farah
2009-2011
Grade
Master Thesis
Supervisor
Cosupervisor
Master degree in Mathematics, University of Turin, Torino, Italy
110/110 - Magna cum laude
Combinatorial principles in set theory
Professor Alessandro Andretta
Professor Matteo Viale
2006-2009
Bachelor degree in Mathematics, University of Turin, Torino,
Italy
Publications
Quantifier elimination in C ∗ -algebras, j.w.
C.J. Eagle,
I. Farah and E. Kirchberg, submitted, arXiv preprint:
http://arxiv.org/abs/1502.00573, to appear in International
Mathematics Research Notices
York University – 4700 Keele Street, M3J1P3
Toronto, Ontario, Canada
B [email protected]
1/6
The pseudoarc is a co-existentially closed continuum, joint with
C.J. Eagle and I. Goldbring, Topology and its Applications 207,
(2016), 1-9
Saturation and elementary equivalence of C*-algebras, joint with
C. J. Eagle , Journal of Functional Anaysis 269 (2015), no. 8,
2631 - 2664
An algebra whose subalgebras are characterized by density, Journal of Symbolic Logic 80 (2015), no. 3, 1066 - 1074
Preprints
Forcing axioms and coronas of nuclear C*-algebras, joint with
P. McKenney, in preparation
Nontrivial homeomorphisms of Čech-Stone remainders, submitted, arXiv preprint: https://arxiv.org/abs/1609.02616
Model Theory for nuclear C ∗ -algebras, j. w. I. Farah, B.
Hart, M. Lupini, L. Robert, A. Tikuisis and W. Winter,
http://arxiv.org/abs/1602.08072, to be submitted to the Memoirs of the American Mathematical Society
On Ulam stability for some classes
j.w.
P. McKenney,
submitted,
http://arxiv.org/abs/1601.05445
of C*-algebras,
arXiv preprint:
Awards and grants
July 2016 Association for Symbolic Logic travel grant to attend the 2016
Logic Colloquium in Leeds, UK
2016-2017 Susan Mann Dissertation Scholarship, York University Award
2012– York University International student grant
May 2016 Association for Symbolic Logic travel grant to attend the ASL
2016 Annual Meeting in Storrs, CT, USA
February Association for Symbolic Logic travel grant to attend the Men2016 achem Magidor 70th Birthday Conference, Jerusalem, Israel
January 2016 Association for Symbolic Logic Grant for the Conference for the
70th birthday of Menachem Magidor, Jerusalem, Israel
June 2013 INFTY Short Visit Grant 5552 For the 6th Young Set Theory
Workshop in Oropa, Italy
June 2013 Association for Symbolic Logic Grant for the 6th Young Set
Theory Workshop in Oropa, Italy
May 2013 Association for Symbolic Logic Grant for the 2013 ASL meeting
in Waterloo, Ontario, Canada
York University – 4700 Keele Street, M3J1P3
Toronto, Ontario, Canada
B [email protected]
2/6
2009-2011 Borsa di Studio a collaborazione parziale / Grant for partial
collaboration, University of Turin, Torino, Italy
Invited talks
2016
18 October Model theory for C*-algebras, Logic Seminar, University of Illi2016 nois at Urbana-Champaign, Champaign-Urbana, IL, USA
17 June 2016 Set theory and automorphisms of C*-algebras, 44th Canadian
Operator Algebra Symposium (COSy), Montreal, QC, Canada
26 May 2016 Set theory and automorphisms of C*-algebras, special session on
Set Theory at the Association for Symbolic Logic 2016 Annual
Meeting in Storrs, CT, USA
23 March Set theory and automorphisms of C*-algebras, Workshop of Clas2016 sification and Set Theory, Institut Mittag-Leffler, Djursholm,
Sweden
8 January Stability, C*-algebras and forcing axioms, Set theory seminar,
2016 University of Turin, Torino, Italy
2015
7 December On Ulam stability, Canadian Mathematical Society Winter Meet2015 ing, Operator Algebra session, Montreal, Quebec, Canada
13 July 2015 On quantifier elimination for C*-algebras, Workshop of C*algebras: geometry and actions, University of Münster, Münster,
Germany
13 March Set theory, Amenable Banach algebras and the isomorphism
2015 problem, Analysis Seminar, Waterloo University, Waterloo, Ontario, Canada
2014
21 October Amenable operator algebras and the isomorphisms problem, Dy2014 namics and C*-algebras: amenability and soficity, BIRS, Banff,
Alberta, Canada
10 July 2014 Saturation of operator algebras, Workshop on model theory and
operator algebras, University of Münster, Münster, Germany
20 June 2014 A complete theory whose saturated C*-algebras are characterized in terms of Boolean algebras, Workshop on C*-algebras and
dynamical systems, Fields Institute, Toronto, Ontario, Canada
York University – 4700 Keele Street, M3J1P3
Toronto, Ontario, Canada
B [email protected]
3/6
Other talks
2016
13 October Model Theory for C*-algebras, Toronto Operator Algebra semi2016 nar, Fields Institute, Toronto, Ontario, Canada
5 August Forcing axioms and automorphisms of C*-algebras, Logic Col2016 loquium 2016, Leeds, UK
3 June 2016 CH and homeomorphisms of Stone-Cech remainders, Toronto
Set Theory seminar, Fields Institute, Toronto, Ontario, Canada
2015
22 December On Ulam stability, Welcome Home, University of Turin, Torino,
2015 Italy
1 May 2015 Forcing axioms and Operator algebras: a lifting theorem for reduced products of matrix algebras, Toronto Set Theory seminar,
Fields Institute, Toronto, Ontario, Canada
11 February Set theory and amenable operator algebras, Toronto Operator
2015 Algebra seminar, Fields Institute, Toronto, Ontario, Canada
2014
22 December Saturation for C*-algebras, Welcome Home, University of Turin,
2014 Torino, Italy
26 November The total reduction property, Toronto Operator Algebra seminar,
2014 Fields Institute, Toronto, Ontario, Canada
12 November Abelian amenable operator algebras are isomorphic to C*2014 algebras, Toronto Operator Algebra seminar, Fields Institute,
Toronto, Ontario, Canada
29 September On what I learned in Glasgow about the UCT (Part 2), Toronto
2014 Operator Algebra seminar, Fields Institute, Toronto, Ontario,
Canada
22 September On what I learned in Glasgow about the UCT (Part 1), Toronto
2014 Operator Algebra seminar, Fields Institute, Toronto, Ontario,
Canada
25 August Model theory for commutative real rank zero C*-algebras, Mas2014 terclass on Classification, STructure, Amenability and Regularity,
University of Glasgow, Glasgow, UK
25 April 2014 An algebra whose subalgebras are characterized by density,
Toronto Set Theory seminar, Fields Institute, Toronto, Ontario,
Canada
York University – 4700 Keele Street, M3J1P3
Toronto, Ontario, Canada
B [email protected]
4/6
2013
28 November An amenable operator algebra that is not a C*-algebra, Toronto
2013 Operator Algebra seminar, Fields Institute, Toronto, Ontario,
Canada
Participation to focusing programs, masterclasses
and visiting
Spring 2016 Focusing program on Classification of operator algebras: complexity, rigidity, and dynamics, Institut Mittag-Leffler, Djursholm,
Sweden
Summer 2015 Focus Programme on C*-algebras, University of Münster, Münster, Germany
February Visiting Miami University, Ohio, USA
2015
August 2014 Masterclass on Classification, STructure, Amenability and Regularity, University of Glasgow, Glasgow, UK
Spring 2014 Thematic Program on Abstract Harmonic Analysis, Banach and
Operator Algebras, Fields Institute, Toronto, Ontario, Canada
September Visiting Copenhagen University, Copenhagen, Denmark
2013
Fall 2012 Thematic program on forcing and its applications, Fields Institute,
Toronto, Ontario, Canada
Relevant graduate courses
Winter
Winter
Fall
Winter
Fall
Fall
Fall
2015
2014
2013
2013
2012
2012
2012
Functional Analysis II, at York U., taught by Ilijas Farah
Crossed products, at Fields Institute, taught by N. C. Phillips
Measure Theory, at York U. taught by T. Salisbury
General Topology I, at York U. taught by P. Szeptycki
Functional Analysis I, at York U. taught by I. Farah
Forcing, at Fields Institute, taught by A. Dow
Large Cardinals, at Fields Institute, taught by P. Larson
2011 Set Theory, at University of Turin, taught by A. Andretta and
M. Viale
Teaching
Fall 2015 Instructor for Differential Calculus with Application, MATH1300,
section A, York University, Toronto, Ontario
York University – 4700 Keele Street, M3J1P3
Toronto, Ontario, Canada
B [email protected]
5/6
2012– TA, Tutor and Marker for 23 courses in MATH 1xxx, MATH
2xxx and MATH 3xxx related to Analysis, Logic and Topology,
York. University, Toronto, Ontario
2009-2012 Autistic students tutoring in Mathematics, University of Turin,
Torino, Italy
Others
Languages
Italian Mothertongue
English Very Good
French Basic
TOEFL certification, 2012
Computer skills
Intermediate PARIGP, C++, OpenOffice, Linux, Microsoft Windows, Unix,
Mathematica, MatLab
Advanced LATEX
Other work experiences
2008-2011 Assistant Manager at 360 Bar, Torino, Italy
2003-2008 Dishwasher (then bartender, cashier, server, cook) at 360 Bar,
Torino, Italy
York University – 4700 Keele Street, M3J1P3
Toronto, Ontario, Canada
B [email protected]
6/6