- Professor at Research Institute for Mathematical Sciences (Kyoto), since 2013.
- Editorial Boards:

- 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.

- Operator algebra theory: Working on both C*-algebras and von Neumann algebras, particularly in connection with group theory.
- Functional analytic group theory: Studying various aspects of groups by functional analysis methods.
- Quantum information theory: Hanging about Tsirelson's conjecture ( = Kirchberg's conjecture = Connes's embedding conjecture).

- C*-algebras and finite-dimensional approximations (in collaboration
with N. P. Brown),

Graduate Studies in Mathematics, 88. American Mathematical Society, 2008, 509 pp.

- Amenable actions and exactness for discrete groups.

C. R. Acad. Sci. Paris Ser. I Math., 330 (2000), 691--695. doi:10.1016/S0764-4442(00)00248-2 - Homogeneity of the pure state space of
a separable
*C**-algebra (in collaboration with Kishimoto and Sakai).

Canad. Math. Bull., 46 (2003), 365--372. doi:10.4153/CMB-2003-038-3 - Solid von Neumann algebras.

Acta Math., 192 (2004), 111--117. doi:10.1007/BF02441087 - Amenable Actions And Applications.

International Congress of Mathematicians, Vol. II, 1563--1580, Eur. Math. Soc., Zürich, 2006. doi:10.4171/022-2/74 - Weak amenability of hyperbolic groups.

Groups Geom. Dyn., 2 (2008), 271--280. doi:10.4171/GGD/40 - 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. doi:10.4007/annals.2010.172.713 - Noncommutative real algebraic geometry of Kazhdan's property (T).

J. Inst. Math. Jussieu, 15 (2016), 85--90. doi:10.1017/S1474748014000309 - A functional analysis proof of Gromov's polynomial growth theorem.

Ann. Sci. Éc. Norm. Supér. (4), accepted.

**A functional analysis proof of Gromov's polynomial growth theorem**(Handout.pdf)- WCOAS, UCSD, October 2015.
- Kyoto Operator Algebra Seminar, RIMS, October 2015.
- Colloquium, Kyushu University, November 2015.
- Measured group theory, ESI, February 2016.
- Nordic Congress of Mathematics, Stockholm, March 2016.
- Seminar, École Normale Supérieure, April 2016.
- COSy, CRM, June 2016. (3 hours)
- Pacific RIM Conference on Mathematics 2016, Seoul National University, June 2016.
- MSJ-SI: Operator Algebras and Mathematical Physics, Tohoku University, August 2016. (3 hours)

**A continuum of C*-norms on B(H) \otimes B(H) and related tensor products****A remark on fullness of some group measure space von Neumann algebras****Finite-dimensional representations constructed from random walks**(slides.pdf)- Amenability of discrete groups, AIM, September 2016.
- Operator Algebra Seminar, University of Tokyo, November 2016.
- Non-positive curvature group actions and cohomology, Newton Institute, March 2017.
- Special Week on Operator Algebras, Research Center for Operator Algebras (Shanghai), June 2017.
- Von Neumann algebras and measured group theory, Institut Henri Poincaré, July 2017.
- Seminar "Groups, Actions and von Neumann algebras", Université Paris-Sud, September 2017.
- Ergodic and Geometric Group theory in Sendai (EGGS), Tohoku University, October 2017.
- Annual Meeting on Operator Theory and Operator Algebra Theory, Ritsumeikan University, November 2017.

**Minicourse on Connes's Embedding Problem and its equivalent**(A note on Slofstra's work)- Analysis in Quantum Information Theory, IHP, September & October 2017. (12 hours)

**Aut(F_5) has Kazhdan's property (T)**(slides.pdf)- Kyoto Operator Algebra Seminar, RIMS, November 2017.
- Operator Algebra Seminar, University of Tokyo, December 2017.
- Colloquium, UCLA, January 2018.
- Classification of group von Neumann algebras, AIM, January 2018.

Back to the main Index.