Invited talks

Conference talks and colloquia

Definable algebraic invariants in (noncommutative) topology, 2Tart Operator Theory Online Conference, June 2020;

Universal sofic groups, Groups and Geometry, January 2019, University of Auckland;

An infinitary Gowers theorem for multiple tetris operation, Unifying Themes in Ramsey Theory, November 2018, BIRS;

The complexity of the classification problem in ergodic theory, Logic In Southern California, March 2018, University of California at Irvine;

The noncommutative Poulsen simplex, Gupta Memorial Lecture, University of Regina, March 2018;

The complexity of the classification problem in ergodic theory, 26th Meeting of the Italian Logic Association, September 2017, Padova;

A notion of dimension for inclusion of C*-algebras, and applications, Workshop on Applications of Model Theory to Operator Algebras, University of Houston, August 2017;

A notion of dimension for inclusion of C*-algebras, and applications, 2017 Noncommutative Geometry and Operator Algebras, May 2017;

A notion of dimension for inclusion of C*-algebras, Workshop on C*-algebras and Dynamical Systems, CRM, Barcelona, March 2017;

Noncommutative simplices, Colloquium at Queen's University Belfast, February 2017;

Operator systems in quantum information theory and noncommutative Choquet theory, Colloquium at the University of Ottawa, January 2017;

Universal objects and extreme amenability: where topological dynamics meets Ramsey theory, Colloquium at the University of Illinois at Chicago, December 1st, 2016;

Borel complexity and C*-dynamics, UCLA Logic Colloquium, November 2016;

The noncommutative Poulsen simplex, 27th International Workshop on Operator Theory and Applications, Special Section on Noncommutative Inequalities, July 2016;

The Lusky simplex, Spring 2016 AMS Sectional Meeting, Special Session on Descriptive set theory and its applications, April 2016;

The noncommutative Poulsen simplex, Classification and set theory, Intitut Mittag-Leffler, March 2016;

Weak equivalence of actions and first order logic, Logic in Southern California, Caltech, February 2016;

Polish groupoids and the classification of operator algebraic varieties, 2015 Winter CMS Meeting, Special Session on Descriptive set theory, December 2015;

The noncommutative Poulsen simplex (slides), 2015 Winter CMS Meeting, Special Session on Operator Algebras, December 2015;

Noncommutative simplices and the mathematics of quantum physics, Oliver Club (Department Colloquium), Cornell University, November 19th, 2015;

Polish groupoids and the classification problem for operator algebraic varieties, Logic Seminar, Cornell University, November 2015;

The Poulsen simplex and Fraïssé theory for metric structures, Workshop on Homogeneous Structures, November 2015, BIRS, Banff, Alberta, Canada;

Nonstandard methods in combinatorics, Claremont Colleges Colloquium (October 21st, 2015);

The noncommutative Poulsen simplex, 2015 West Coast Opeator Algebras Symposium, University of California at San Diego, October 2015;

The classification of multiplier algebras of operator algebraic varieties, Colloquium, Universidad Complutense de Madrid, June 2015;

Noncommutative analogs of the Gurarij Banach space (abstract, slides), 2015 Annual ASL Meeting, Special Session on Set Theory, University of Illinois at Urbana-Champaign, March 2015;

The complexity of classification problems in operator algebras, Joint Mathematics Meeting 2015, Special Session on Classification Problems in Operator Algebras -- San Antonio, January 2015;

Uniqueness, homogeneity, and universality of the noncommutative Gurarij space (abstract), Canadian Mathematical Society 2014 Winter Meeting, Special Session on Operator Algebras and Operator Theory, December 2014;

The classification problem for separable operator systems (abstract, slides), 12th East Coast Operator Algebras Symposium -- Fields Institute, October 2014;

Ehrenfeucht–Fraïssé games in the logic for metric structures, Workshop on Model Theory and C*-algebras -- University of Münster, July 2014;

Conjugacy and cocycle conjugacy of automorphisms of O_2 are not Borel (abstract, slides), Workshop on C*-algebras and Dynamical Systems -- Fields Institute, June 2014;

An invitation to sofic groups, Math Department Colloquium -- Boise State University, Boise, United States (April 22nd, 2014);

Borel complexity and automorphisms of C*-algebras (abstract, slides), Workshop on Set Theory -- Mathematical Research Institute of Oberwolfach, January 2014;

Gottschalk's surjunctivity conjecture (abstract), Arbeitsgemeinschaft: Sofic Entropy, Mathematical Research Institute of Oberwolfach, October 2013;

Unitary equivalence of automorphisms of C*-algebras (abstract, slides), 2013 North American Annual ASL Meeting -- University of Waterloo, May 2013;

Model theoretic reformulations of the Connes embedding problem (abstract), Workshop on sofic and hyperlinear groups and the Connes embedding conjecture, UFSC, Florianopolis, June 2013;

The complexity of the relation of unitary equivalence of automorphisms of separable C*-algebras (abstract), Workshop on C*-Algebras, Dynamics, and Classification -- Mathematical Research Institute of Oberwolfach, October 2012;

Continuous logic and sofic groups (abstract, slides), Workshop on Continuous Logic and Functional Analysis -- Institut Camille Jordan, Lyon, July 2012;

Nonclassifiability of automorphisms of C*-algebras up to unitary equivalence (abstract, slides), Worskhop on Descriptive Set Theory and Functional Analysis -- BIRS, June 2012;

Descriptive set theory and classification problems in C*-algebra theory (abstract, slides), NSF/CBMS Regional Conference in the Mathematical Sciences -- University of Louisiana at Lafayette, May 2012.

Minicourses

Tutorial on Model Theory, Workshop on Model theory and C*-algebras, Banff International Research Station (November 26-30, 2018);

Masterclass on Applications of Model Theory to Operator Algebras, Workshop on Applications of Model Theory to Operator Algebras, University of Houston (July 31 - August 4, 2017);

Fraïssé theory and generic objects in functional analysis, Instituto de Ciencias Matemáticas, Madrid (June 27-29, 2015);

Lecture series on sofic groups, hyperlinear groups, and the Connes embedding problem (with Valerio Capraro), Workshop on sofic and hyperlinear groups and the Connes embedding conjecture, UFSC, Florianopolis, Brazil (June 10-21, 2013).

Invited research visits

University of Glasgow, October 2-6, 2017 (host: Christian Voigt)
University of Houston, July 24-28, 2017 (host: Mehrdad Kalantar)
University of Waterloo, December 7-15, 2015 (host: Matthew Kennedy)
University College London, August 19-20 and December 16-17 (host: Simone Severini)
Instituto de Ciencias Matemáticas, May 26-29, 2015 (host: Jordi Lopez-Abad)
University of Copenhagen, April 28 - May 4, 2015 (host: Asger Tornquist)
McGill University, January 26-31, 2015 (host: Marcin Sabok)
University of Illinois at Chicago, November 17-22, 2014 (host: Isaac Goldbring)
Boise State University, April 16-24, 2014 (host: Samuel Coskey)
University of Copenhagen, August 25 - September 22, 2013 (host: Asger Tornquist)
Universidade Federal de Santa Catarina, June 9-28, 2013 (host: Daniel Concalves and Vladimir Pestov)
University of Vienna, April 15-20, 2012 (host: Goulnara Arzhantseva)

Invited participation to workshops

26th meeting of the Italian Logic Association, University of Padova, September 25-28, 2017;

Workshop on Applications of Model Theory to Operator Algebras, University of Houston, July 31 - August 4, 2017;

2017 Noncommutative Geometry and Operator Algebras, Vanderbilt University, May 5-11, 2017;

Workshop on C*-algebras and Dynamical Systems, CRM, Barcelona, March 22, 2017;

The classification problem for quantum groups, Banff International Research Station, November 20-27, 2016

Heilbronn Focussed Research Meeting "Noncommutative graphs in quantum information theory", October 3-7, 2016 and February 6-10, 2017

LMS Research school "Combinatorics and operators in quantum information theory", September 5-9, 2016

27th International Workshop on Operator Theory and Applications, July 18-22, 2016

Workshop on Dynamical Systems and Operator Algebras, May 29 - June 1, 2016;

Spring 2016 AMS Sectional Meeting, April 2016;

2015 Winter CMS Meeting, December 5-7, 2015, Montreal, Canada;

Homogeneous Structures, November 8-13, 2015, BIRS, Banff, Alberta, Canada;

2015 West Coast Operator Algebras Seminar, October 10-11, 2015, University of California at San Diego, California, US;

2015 Annual ASL Meeting, March 25-28, 2015, University of Illinois at Urbana-Champaign, Illinois, US;

2015 Joint Mathematics Meetings, January 10-13, 2015, San Antonio, Texas, US;

2014 Canadian Mathematical Society Winter Meeting, December 5-8, 2014, McMaster University, Hamilton, Ontario, Canada;

2014 East Coast Operator Symposium, October 11-12, 2014, Fields Institute, Toronto, Canada;

Borel complexity and classification of operator systems, August 10-17, 2014, Focussed Research Group meeting, BIRS, Banff, Canada;

Nonstandard methods in number theory, AIM SQuaRE meeting, Palo Alto, California, US;

Model Theory and Operator Algebras, July 7-11, 2014, University of Münster, Münster, Germany;

Set Theory, January 13-17, 2014, Mathematical Research Institute of Oberwolfach, Obwerwolfach (Germany);

Sofic and hyperlinear groups and the Connes embedding conjecture, June 10-21, 2013, UFSC, Florianopolis, Brazil;

Nonstandard methods in number theory, June 3-7 2013, August 4-8 2014, and June 22-26 2015, AIM SQuaRE meeting, Palo Alto;

2013 North American ASL Meeting, May 8-11, 2013, University of Waterloo, Waterloo, Canada;

C*-Algebras, Dynamics, and Classification, October 28 - Novermber 3, 2012, MFO, Oberwolfach, Germany;

Descriptive Set Theory and Functional Analysis, June 18-22, 2012, BIRS, Banff, Alberta, Canada;

NSF/CBMS Regional Conference in the Mathematical Sciences, May 11-15, 2012, University of Louisiana at Lafayette, Louisiana, US;

15th Appalachian Set Theory Workshop, March 3rd, 2012, Carnagie Mellon University, Pittsburg, Pennsylvania, US;

Set Theory and C*-algebras, January 23-27, 2012, American Institute of Mathematics, Palo Alto, California, US.

Seminar talks

The classification problem for extensions of C*-algebras, Logic Seminar, California Institute of Technology, December 2020;

Ulam stability and definability, Logic Seminar, Victoria University of Wellington, November 2020;

On solenoids and their complements, Operator Algebras and Noncommutative Geometry Seminar, University of Wollongong, August 2020;

On solenoids and their complements, Pure Mathematics Seminar, University of New South Wales, July 2020;

Nonstandard analysis and Diophantine equations, Caltech Logic Seminar, June 2019;

The noncommutative Poulsen simplex, Geometry and Analysis Seminar, University of Auckland, June 2018;

The complexity of the classification problem in ergodic theory, Functional Analysis Seminar, UCLA, March 2018;

Actions of rigid groups on C*-algebras, Analysis Seminar, University of Glasgow, January 2018;

The complexity of the classification problem in ergodic theory, Functional Analysis Seminar, University of California at San Diego, November 2017;

The complexity of the classification problem in ergodic theory (slides), Analysis Seminar, University of Glasgow, October 2017;

The complexity of the classification problem in ergodic theory, Logic Seminar, University of Illinois at Urbana-Champaign, September 2017;

Borel complexity and C*-dynamics, Intensive Research Program on Operator Algebras Weekly Seminar, CRM Barcelona, March 2017;

Noncommutative simplices, Wabash Modern Analysis Seminar, Wabash College, February 2017;

Cocycle superrigidity and group actions on C*-algebras, Operator Algebras Seminar, Purdue University, February 2017;

A game-theoretic approach to Hjorth's turbulence theory, Logic Seminar, California Institute of Technology (January 2017);

Universal objects and extreme amenability: where topological dynamics meets Ramsey theory, Logic Seminar, California Institute of Technology (November 29, 2016);

The omitting types theorem and the entropy realization problem, Logic Seminar, University of Turin (July 26, 2016);

Weak equivalence and the entropy realization problem, UCLA Functional Analysis Seminar, UCLA (March 2nd, 2016);

Weak equivalence for actions on the hyperfinite II_1 factor, UCSD (February 16th, 2016);

On the Erdős sumset conjecture, Combinatorics Seminar, Caltech (January 13th, 2016);

A functional analytic perspective on the Poulsen simplex, Functional Analysis seminar, University of Waterloo (December 13th, 2015);

Fraisse theory and the noncommutative Poulsen simplex, Caltech-UCLA logic seminar (October 9th 2015);

Fraïssé theory and universal objects in group theory and metric geometry, Geometry and Analysis on Groups Seminar -- University of Vienna (May 6th, 2015);

Borel complexity theory and Gromov's program, Geometry and Analysis on Groups Seminar -- University of Vienna (May 5th, 2015);

Operator system and operator space analogs of the Cuntz algebra. Operator Algebra Seminar --- University of Copenhagen (April 29th, 2015);

Generic spaces of operators, Séminaire de Logique --- Institut Camille Jordan, Lyon (March 31st, 2015);

A dichotomy for the complexity of the classification problem of automorphisms of C*-algebras, Descriptive Set Theory Seminar --- Université Paris 6 (February 17th, 2015);

Generic spaces of operators, Séminaire Général de Logique -- Université Paris 7 (February 16th, 2015);

An invitation to sofic groups, Geometric & Combinatorial Group Theory Seminar -- McGill University, Montreal (January 28th, 2015);

Polish groupoids and functorial complexity, Category Seminar -- McGill University, Montreal (January 27th, 2015);

The noncommutative Gurarij space (abstract), Logic Seminar -- University of Illinois at Chicago (November 18th, 2014):

The noncommutative Gurarij space and other Fraisse limits in functional analysis (abstract), Model Theory Seminar -- McMaster University, Hamilton, Ontario, Canada (October 28th, 2014);

Functorial complexity of Polish and analytic groupoids, Set Theory Seminar, Fields Institute (August 1st, 2014);

The Lopez-Escobar theorem for metric structures, and the topological Vaught conjecture, Toronto Set Theory Seminar, Fields Institute (May 23rd, 2014);

Conjugacy and cocycle conjugacy of automorphisms of O_2 are not Borel (abstract), Operator Algebras Seminar, Fields Institute (April 15th, 20114);

Borel complexity and automorphisms of C*-algebras (abstract, slides), Group Actions and Dynamics Seminar, University of Texas at Austin (March 5th, 2014);

The descriptive set theory of Polish groupoids, Set Theory Seminar, Fields Institute (December 13th, 2013);

The algebraic eigenvalues conjecture for sofic groups, Operator Algebras Seminar -- Fields Institute (October 29th, 2013);

Sofic and hyperlinear groups and the logic for metric structures (abstract), Geometry and Analysis on Groups Seminar -- University of Vienna (October 2nd, 2013);

The algebraic eigenvalues conjecture for sofic groups (abstract), Operator Algebras Seminar -- University of Copenhagen (September 18th, 2013);

Classification of automorphisms of operator algebras up to conjugacy (abstract), Seminar on Set Theory and Applications -- University of Copenhagen, Denmark (September 5th, 2013);

The automorphisms of a Jiang-Su stable C*-algebra are not classifiable up to conjugacy (abstract), Operator Algebras Seminar -- Fields Institute (August 8th, 2013);

Borel complexity of equivalence relations from operator algebras (abstract), Set Theory Seminar -- Fields Institute (May 3rd, 2013);

C*-algebras and omytting types (abstract), Seminar in operator theory and operator algebras -- University of Virginia, Charlottesville (March 5th, 2013);

The complexity of the relation of unitary equivalence for automorphisms of separable unital C*-algebras (abstract), Analysis Seminar -- University of Waterloo (October 19th, 2012);

The complexity of the relation of unitary equivalence for automorphisms of separable unital C*-algebras (abstract), Operator Algebras Seminar -- Fields Institute (October 16th, 2012);

La logica per strutture metriche ed il numero di gruppi sofici e iperlineari universali (abstract, slides) -- University of Turin, Italy (June 27th, 2012);

Turbulent actions on automorphism groups of C*-algebras (abstract), Operator Algebras Seminar -- Fields Institute (April 12th, 2012);

Nonstandard methods and additive combinatorics: effective estimates for Jin's theorem (abstract), Logic Seminars at Pisa -- University of Pisa (April 23rd, 2012);

On the number of universal sofic and hyperlinear groups (abstract, slides), LaWiNe Seminar -- University of Vienna (April 18th, 2012);

Ultraproducts in logic and group theory (abstract, slides), LaWiNe Seminar -- University of Vienna (April 18th, 2012);

Logic for metric structures and the number of universal sofic and hyperlinear groups (abstract), Set Theory Seminar -- Fields Institute (January 20th, 2012);

The Continuum Hypothesis and ultrapowers of C*-algebras and von Neumann algebras, Logic Seminars at Pisa -- University of Pisa (May 31st, 2011);

The structure theorem for unitary representations of amenable groups, Logic Seminars at Pisa -- University of Pisa (16th June, 2010).