Associate Professor Department of Mathematical Sciences University of Copenhagen Universitesparken 5 2100 Copenhagen Ø DENMARK Phone: (45) 3532 0745 Office: 04.2.05 Email: musat@math.ku.dk |

My main mathematical interests are in the fields of von Neumann algebras and operator spaces, as well as applications to noncommutative probability, with a focus on noncommutative L_{p}-spaces and inequalities for noncommutative martingales. I have also carried out research in classical potential theory.

Organizer of the Department colloquium and of the Harald Bohr Lectures.

- Ph.D. 2002, University of Illinois at Urbana-Champaign. Thesis advisors: Donald Burkholder and Marius Junge.

Title of Ph.D. thesis:*On the Operator Space UMD Property and non-commutative Martingale Inequalities.* - M.S. 1997, University of Illinois at Urbana-Champaign.
- Diploma in Mathematics 1993, University of Bucharest.

*Just-infinite C*-algebras*(with R. Grigorchuk and M. Rørdam), submitted.

arXiv:1604.08774*An asymptotic property of factorizable completely positive maps and the Connes embedding problem*(with U. Haagerup),

Comm. Math. Phys.**338**(2015), 721-752. arXiv:1408.6476*Factorization and dilation problems for completely positive maps on von Neumann algebras*(with U. Haagerup),

Comm. Math. Phys.**303**(2011), 555-594. arXiv:1009.0778*Classification of hyperfinite factors up to completely bounded isomorphism of their preduals*(with U. Haagerup),

J. Reine Angew. Math.**630**(2009), 141-176. arXiv:0706.3463*The Effros-Ruan conjecture for bilinear maps on C*-algebras*(with U. Haagerup),

Inventiones Mathematicae**174**(2008), 139-163. arXiv:0711.1851*On the best constants in noncommutative Khintchine-type inequalities*(with U. Haagerup),

J. Funct. Analysis**250**, no. 2, (2007), 588-624. arXiv:0611160*A noncommutative version of the John-Nirenberg theorem*(with M. Junge),

Trans. Amer. Math. Soc.**359**, no. 1 (2007), 115-142. arXiv:0410121*On the operator space UMD property for noncommutative L*_{p}-spaces

Indiana Univ. Math. J.**55**, no. 6 (2006), 1857-1892. arXiv:0501033*The condenser problem*(with J. Bliedtner),

Potential Analysis**21**(2004), 177-192.*Interpolation between non-commutative BMO and non-commutative L*,_{p}-spaces

J. Funct. Analysis**202**(2003), 195-225.*On strong Darboux property*

Stud. Cerc. Mat.**44**(1992), no. 4, 305-307.

*Extreme Points of Unital Quantum Channels*(with U. Haagerup and M.B. Ruskai), in preparation.*Finite dimensional approximations of hyperfinite martingales*, in preparation.*Notes on noncommutative L*(with Bruce Driver), Preprint, 2005._{p}-spaces (the tracial case)

- Symposium: The mathematical legacy of Uffe Haagerup. (June 24-26, 2016) at the University of Copenhagen. Organizers: Magdalena Musat, Mikael Rørdam and Wojciech Szymanski.
- Masterclass: Expanders and rigidity of group actions. (May 2-6, 2016) at the University of Copenhagen. Organizers: Chris Cave and Magdalena Musat.
- Masterclass on Groups, boundary actions and group C*-algebras. (April 13-17, 2015) at the University of Copenhagen. Organizers: Magdalena Musat and Mikael Rørdam.
- Ergodic Theory and von Neumann Algebras: Master Class (October 14-18, 2013) at the University of Copenhagen. Organizers: Steven Deprez and Magdalena Musat.
- Sofic Groups and Applications to Operator Algebras: Master Class (November 5-9, 2012) at the University of Copenhagen. Organizers: Uffe Haagerup, Magdalena Musat and Mikael Rørdam.
- Von Neumann Algebras and Group Actions: Master Class (January 25-29, 2010) and Workshop (February 1-5, 2010) at the University of Copenhagen. Organizers: Uffe Haagerup and Magdalena Musat.

- Chris Cave (2015-2018).

- Rasmus Sylvester Bryder (2017, expected), (joint supervision with M. Rørdam).
- Kristian Knudsen Olesen (2016). Ph.D. thesis:
*Analytic aspects of the Thompson groups,*(joint supervision with U. Haagerup). - Tim de Laat (2013), (joint supervision with U. Haagerup).
Ph.D. thesis:
*Approximation properties for Lie groups and noncommutative L*_{p}-spaces

Currently Juniorprofessor für Theoretische Mathematik, Westfälische Wilhelms-Universität Münster.

- Mikkel Strunge (2017, February, expected). M. S. Thesis:
*Expansion in groups: Coarse geometry and analytic aspects.* - Sanne Winther (2016, March), M. S. Thesis:
*Inner Amenability, Cost and Central Sequences in Factors.* - Anne Munk Ebbesen (2016, March), M. S. Thesis:
*Superreflexivity and property (T) for group actionson Banach spaces.* - Andreas Midjord (2015, July), M. S. Thesis:
*Poisson boundaries of groups: Entropy, growth and amenability.* - Rasmus Sylvester Bryder (2014, May), M. S. Thesis:
*Simplicity and uniqueness of trace for reduced group C*-algebras,*(joint supervision with M. Rørdam). - Marcus Dorph De Chiffre (2013, November), M. S. Thesis:
*Quasidiagonality of Group C*-algebras,*(joint supervision with M. Rørdam). - Kristian Knudsen Olesen (2012, November), M. S. Thesis:
*The Connes Embedding Problem: Sofic Groups and the QWEP Conjecture*

- Moritz Korte-Stapff (2016, November), Fagprojekt:
*Introduction to free probability* - Malthe M Karbo & Magnus B Kristensen (2016, June), Fagprojekt:
*Reflexivity in Banach spaces,*(joint supervision with R. S. Bryder). - Michael Staal-Olsen (2016, June), Fagprojekt:
*Khintchine inequalities and applications: Embedding a Hilbert space into L*_{1}- From classical to noncommutative. - Jacob Emil Friis Frølich (2016, April), Fagprojekt:
*Groups with property RD.* - Mikkel Munkholm (2016, January), Fagprojekt:
*Property A, expanders and exactness of groups,*(joint supervision with C. Cave). - Andreas Midjord (2014), Fagprojekt:
*Random walks on groups: amenability and convolution operators.* - Rasmus Sylvester Bryder (2013, February), Fagprojekt:
*Injective and Semidiscrete von Neumann Algebras.* - Isak Wulff Mottelson (2012, January), Fagprojekt:
*Introduction to Non-commutative Probability.*

- Kevin Aguyar Brix (2013, June), B. S. Thesis:
*Amenability and Growth of Finitely Generated Groups.* - Anna Munk Ebbesen (2012, June), B. S. Thesis:
*Convex Sets and their Integral Representations.* - Frederik Riis Mikkelsen (2012, June), B. S. Thesis:
*Probabilistic Aspects of Moment Sequences: The Method of Moments.* - Marcus Dorph De Chiffre (2011, June), B. S. Thesis:
*The Haar Measure.* - Julie Pedersen (2010, July), B. S. Thesis:
*The Little Grothendieck Inequality - From Classical to Non-Commutative*. - May Louise Wetke Nielsen (2009, May), B. S. Thesis (at the University of Southern Denmark):
*The Haar Measure.*

**Fall 2016/Winter 2017 (Block 2)**- Functional Analysis (FunkAn).

**Fall 2016 (Block 1)**- Approximation Properties for Operator Algebras and Groups (Approx).
- Analysis 2 (An2) (joint with Mikael Rørdam).

**Fall 2015/Winter 2016 (Block 2)**- Approximation Properties for Operator Algebras and Groups (Approx).
- Functional Analysis (FunkAn).

**Fall 2015 (Block 1)**- Analysis 2 (An2) (joint with Mikael Rørdam).

**Fall 2014/Winter 2015 (Block 2)**- Approximation Properties for Operator Algebras and Groups (Approx) (joint with U. Haagerup).

**Fall 2014 (Block 1)**- Functional Analysis (FunkAn).
- Analysis 2 (An2) (joint with Mikael Rørdam).

**Fall 2013/Winter 2014 (Block 2)**- Approximation Properties for Operator Algebras and Groups (Approx) (joint with U. Haagerup).

**Fall 2012/Winter 2013 (Block 2)**- Approximation Properties for Operator Algebras and Groups (Approx) (joint with U. Haagerup).

**Fall 2012 (Block 1)**- Functional Analysis (FunkAn).
- Analysis 2 (An2) (joint with Mikael Rørdam).

**Fall 2011/Winter 2012 (Block 2)**- Measure and Integration Theory (MI).

**Fall 2011 (Block 1)**- Functional Analysis (FunkAn).

**Fall 2010/Winter 2011 (Block 2)**- Measure and Integration Theory (MI) (joint with Ernst Hansen).

**Fall 2010 (block 1)**- Approximation Properties for Operator Algebras and Groups (Approx) (joint with U. Haagerup).

**Spring 2010 (Block 3)**- Banach spaces.

**Fall 2009 (Block 1)**- Large Deviations (AS 100).

Last modified: December 6, 2016