Education.

Dissertation advisor: Prof. D.-V. Voiculescu.

Awards and honors.

Member of the American Mathematical Society.

Research interests.

List of publications.

1. Free Quasi-Free States, C.R. Acad. Sci. Paris, t. 322, Serie I (1996), 645-649

2. Free Quasi-Free States, Pacific J. Math, 177, (1997) 329-368

3. Limit Distribution of Matrices with Bosonic and Fermionic Entries, Free Probability (D.-V. Voiculescu, ed.), Fields Institute Communications, vol. 12, AMS, 1997, pp. 241-252

4. R-transform of Certain Joint Distributions, ibid, 253-256

5. Gaussian Random Band Matrices and Freeness with Amalgamation, International Math. Res. Notices, 20 (1996), 1013-1025

6. Some Applications of Freeness with Amalgamation, J. reine angew. Math. 500 (1998), 191-212

7. A-valued Semicircular Systems, J. Funct. Anal., 166 (1999), 1\47

8. Free Quasi-Free states, Thesis, UC Berkeley, 1997

9. Gaussian random band matrices and operator-valued free probability theory, Proceedings of the Quantum Probability Conference, Banach Center Publ., 1998

10. Free Entropy with Respect to a Completely-positive Map, American J. Math., 122 (2000), 45\81

11. (with A. Nica and R. Speicher), Some minimization problems for the free analogue of Fisher information, Adv. Math., 121 (1999), 282--321

12. (with A. Nica and R. Speicher), Maximality of the microstates free entropy for R-diagonal elements, Pacific J. Math., 187 (1999), 333--347

13. A Microstates Approach to Relative Free Entropy, Internat. J. Math. 13 (2002) 605--623
    

14. (with A. Nica and R. Speicher), R-diagonal elements and freeness with amalgamation, Canad. J. Math. 53 (2001) 355--381

15. Survey paper: von Neumann algebras and Poisson manifolds, http://math.berkeley.edu/~aweinst/277papers/shlyakhtenko.tex

16. Free Fisher information with respect to a completely positive map and cost of equivalence relations, Comm. Math. Phys. 218 (2001), 133--152

17. (with K. Dykema), Exactness of Cuntz-Pimsner C*-algebras, Proc. Edinburgh Math. Soc. 44 (2001), 425-444

18. Microstates Free Entropy and Cost of Equivalence Relations, Duke Math. J. 118 (2003), 375--425
    

19. Prime type III factors, Proc. Nat. Acad. Sci., 97, 2000, 12439-12441

20. (with Sorin Popa), Cartan subalgebras and bimodule decompositions of II₁ factors, Math. Scand. 92 (2003) 93--102
    

21. (with N. Brown and K. Dykema), Topological Entropy of Free Product Automorphisms, Acta Math. 189 (2002) 1--35
    

22. (with Y. Ueda), Irreducible subfactors of L(F(infty)), J. Reine Angew. Math. 548  (2002) 149--166
    

23. (with S. Popa), Universal properties of L(F(infty)) in subfactor theory, Acta Math. 191 (2003), no. 2, 225--257.

24. (with A. Nica and R. Speicher), R cyclic families of matrices in free probability, J. Funct. Anal. 188 (2002) 227-271

25. Free Fisher Information for Non-Tracial States, Pacific J. Math 211 (2003) 375--390

26. (with G. Pisier) Grothendieck's Theorem for operator spaces, Invent. Math. 150 (2002) 185--217

27. (with A. Nica and R. Speicher) Operator-valued distributions: I. Characterizations of freeness, Int. Math. Res. Notices 29 (2002) 1509-1438
    

28. On the classification of Full Factors of Type III, Trans. AMS 356 (2004) 4143--4159

29. On multiplicity and free absorption for free Araki-Woods factors, http://xxx.lanl.gov/abs/math.OA/0302217

30. Some estimates for non-microstates free entropy dimension, with applications to q-semicircular families, Int. Math. Res. Notices 51 (2004) 2757--2772

31. (with A. Connes) L²-homology for von Neumann algebras, J. Reine Angew. Math. 586 (2005), 125--168.

32. (with I. Mineyev) Non-microstates free entropy dimension for groups,g Geom. Funct. Anal. 15 (2005), no. 2, 476--490.

33. (with O. Radko) Picard groups of topologically stable Poisson structures, Pacific J. Math. 224 (2006), no. 1, 151--183

34. (with K. Dykema and K. Jung) The Microstates Free Entropy Dimension of any DT-operator is 2, Doc. Math. 10 (2005), 247--261 (electronic)

35. Remarks on free entropy dimension, Operator Algebras: The Abel Symposium 2004, 249--257, Abel Symp., 1, Springer, Berlin, 2006.

36. Notes on free probability theory, http://xxx.lanl.gov/abs/math.OA/0504063

37. A free analogue of Shannon's problem on monotonicity of entropy, Adv. Math. 208 (2007), no. 2, 824--833.

38. (with K. Jung), Any generating set of an arbitrary property T von Neumann algebra has free entropy dimension $\le1$. J. Noncommut. Geom. 1 (2007), no. 2, 271--279.

39. (with A. Guionnet), On classical analogues of free entropy dimension, J. Func. Anal. 251 No. 2 (2007), 738--771

40. (with A. Guionnet), Free diffusions and matrix models with strictly convex interaction, Geom. Funct. Anal. 18 (2009), 1875-1916

41. (with an appendix by H. Schultz), Shannon's monotonicity problem for free and classical entropy, Proc. Nat. Acad. Sci. 104 No. 39 15254-15258 (2007)

42. Lower estimates on microstates free entropy dimension, to appear in Analysis and PDE.

Positions held.