Narutaka OZAWA

Data

• Associate Professor at University of Tokyo, since 2004.
• Editorial Boards:
  • Groups, Geometry, and Dynamics

• Ph.D., Mathematics, University of Tokyo, March 2000.
  • Adviser: Prof. Y. Kawahigashi
• Ph.D., Mathematics, Texas A&M University, May 2001.
  • Advisers: Prof. W.B. Johnson and Prof. G. Pisier

• Guseman Prize in Mathematics (for graduate students, Texas A&M University), 2000.
• ICM Invited Speaker (Operator Algebras and Functional Analysis), Madrid, 2006. (Daily News)
• Operator Algebra Prize of Japan, 2008.
• Spring Prize (for those under 40, Math. Soc. Japan), 2009.
• JSPS Prize (for young researchers, JSPS), 2010.

Books

• C*-algebras and finite-dimensional approximations (in collaboration with N. P. Brown),
  Graduate Studies in Mathematics, 88. American Mathematical Society, 2008, 509 pp.

Selected Papers (Full List)

• On injectivity and nuclearity for operator spaces (in collaboration with Effros and Ruan),
  Duke Math. J., 110 (2001), 489--521.
• Amenable actions and exactness for discrete groups,
  C. R. Acad. Sci. Paris Ser. I Math., 330 (2000), 691--695. math.OA/0002185
• Homogeneity of the pure state space of a separable C*-algebra (in collaboration with Kishimoto and Sakai),
  Canad. Math. Bull., 46 (2003), 365--372. math.OA/0110152 math.OA/0201191
• Solid von Neumann algebras,
  Acta Math., 192 (2004), 111--117. math.OA/0302082
• Amenable Actions And Applications,
  International Congress of Mathematicians, Vol. II, 1563--1580, Eur. Math. Soc., Zürich, 2006.
• Weak amenability of hyperbolic groups,
  Groups Geom. Dyn., 2 (2008), 271--280. arXiv:0704.1635
• On a class of II_1 factors with at most one Cartan subalgebra (in collaboration with Popa),
  Ann. of Math. (2), 172 (2010), 713--749. arXiv:0706.3623

Recent Research Talks (Memento)

• von Neumann algebras and ergodic theory (Mini Course)
  • von Neumann algebras, Ergodic theory and Geometric Group theory, IMSc (Chennai), February 2009.
  • Summer School: Ergodic Theory of Group Actions, Göttingen, August 2009.
• Dixmier's Similarity Problem (Handout.pdf)
  • Colloquium at Tohoku University, April, 2009.
  • Noncommutative Lp spaces, operator spaces and applications, CIRM, June 2009.
  • Operator Algebra Seminar at University of Tokyo, July 2009.
  • Summer School: Geometry and Rigidity of Groups, Münster, August 2009.
  • Séminaire d'Algèbres d'Opérateurs at Institut de Mathématiques de Jussieu, October 2009.
  • Operators and Operator Algebras University of Edinburgh, December 2009.
  • Colloquium at University of Tokyo, December 2009.
  • KOTAC 2010, Incheon, June 2010.
  • Geometry and Analysis, Kyoto University, March 2011.
• Hyperlinearity, sofic groups and applications to group theory (Mini Course)
  • Operator Spaces and Approximation Properties of Discrete Groups, Texas A&M University, August 2009.
• Quasi-homomorphism rigidity with noncommutative targets (Handout.pdf)
  • Rigidity in cohomology, K-theory, geometry and ergodic theory, HIM (Bonn), November 2009.
  • Functional Analysis Seminar at UCLA, March 2010.
  • Colloquium at University of Hawaii, March 2010.
  • Danish-Norwegian Operator Algebra Seminar, University of Copenhagen, April 2010.
  • Geometry and Ergodic Theory Seminar, EPFL, April 2010.
  • Recent Developments in Operator Algebras, University of Tokyo, June 2010.
  • Satellite Conference on Operator Algebras to ICM 2010, IMSc (Chennai), August 2010.
  • Séminaire d'Algèbres d'Opérateurs at Institut de Mathématiques de Jussieu, September 2010.
  • AMS Fall Western Section Meeting, UCLA, October 2010.
• Closable derivations on finite von Neumann algebras (Mini Course)
  • Noncommutative Geometry and Operator Algebras, Vanderbilt University, May 2010.
• Group measure space von Neumann algebras and measure group theory
  • Actions and Invariants of Residually Finite Groups: Asymptotic Methods, Oberwolfach, September 2010.
• Survey on weak amenability for groups
  • Japanese Western Operator Algebra Seminar, Awarayunomachi, December 2010.
• ME embeddings for groups
  • Embeddings workshop, Isaac Newton Institute, January 2011.