# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# educationAndTraining[].organization.label
University of Oxford - (Oxford, Oxfordshire, United Kingdom)

# educationAndTraining[].organization.label
King's University - (Southlake, Texas, United States)

# educationAndTraining[].organization.label
University of California, Berkeley - (Berkeley, California, United States)

# publications[].label
The microstates free entropy dimension of any DT-operator is 2

# publications[].label
THE CARPENTER AND SCHUR-HORN PROBLEMS FOR MASAS IN FINITE FACTORS

# publications[].label
Sum-of-Squares Results for Polynomials Related to the BessisMoussaVillani Conjecture

# publications[].label
On reduction theory and Brown measure for closed unbounded operators

# publications[].label
A description of amalgamated free products of finite von Neumann algebras over finitedimensional subalgebras

# publications[].label
DT-operators and decomposability of Voiculescu's circular operator

# publications[].label
Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor

# publications[].label
Factoriality and Connes' invariant T(M) for free products of von Neumann algebras.

# publications[].label
A linearization of Connes' embedding problem

# publications[].label
TAIL ALGEBRAS OF QUANTUM EXCHANGEABLE RANDOM VARIABLES

# publications[].label
Brown measure and iterates of the Aluthge transform for some operators arising from measurable actions

# publications[].label
Algebras of Log-Integrable Functions and Operators

# publications[].label
Finitely Presented Groups Related to Kaplanskys Direct Finiteness Conjecture

# publications[].label
Correction of Proofs in "Purely Infinite Simple C*-algebras Arising from Free Product Constructions" and a Subsequent Paper

# publications[].label
The free entropy dimension of some L-infinity[0,1]-circular operators

# publications[].tags
12 Responsible Consumption and Production

# publications[].label
Principal Functions for Bi-free Central Limit Distributions

# publications[].label
Perturbation Formulas for Traces on Normed Ideals

# publications[].label
Rescalings of free products of II<inf>1</inf>-factors

# publications[].label
Purely Infinite, Simple C*-Algebras Arising From Free Product Constructions

# publications[].label
Bounds for the atomic Hartree-Fock electronic density

# publications[].label
On single commutators in II _ { 1 } \_{1} factors

# publications[].label
MEASURE-MULTIPLICITY OF THE LAPLACIAN MASA

# publications[].label
Projections in free product C $^*$algebras, II

# publications[].label
THE AMALGAMATED FREE PRODUCT OF HYPERFINITE VON NEUMANN ALGEBRAS OVER FINITE DIMENSIONAL SUBALGEBRAS

# publications[].label
A nonconvex asymptotic quantum Horn body

# publications[].label
Simplicity and the stable rank of some free product c*-algebras

# publications[].label
Unique ergodicity of free shifts and some other automorphisms of C* -algebras

# publications[].label
The stable rank of some free product $C^ast$-algebras

# publications[].label
Invariant subspaces of the quasinilpotent DT-operator

# publications[].label
Free products of hyperfinite von Neumann algebras and free dimension

# publications[].label
Sums of commutators in ideals and modules of type II factors

# publications[].label
Instances of the Kaplansky-Lvov multilinear conjecture for polynomials of degree three

# publications[].label
Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras

# publications[].label
The completely bounded approximation property for extended Cuntz-Pimsner algebras

# publications[].label
Values of the Pukanszky invariant in free group factors and the hyperfinite factor

# publications[].label
Upper triangular Toeplitz matrices and real parts of quasinilpotent operators

# publications[].label
Nonlinear programming approach to locally constrained variational calculations: He and H  in the HartreeFock approximation

# publications[].label
On Certain Free Product Factors via an Extended Matrix Model

# publications[].label
Spectral characterization of sums of commutators II

# publications[].label
Free entropy dimension in amalgamated free products

# publications[].label
Connes' embedding conjecture and sums of hermitian squares (vol 217, pg 1816, 2008)

# publications[].label
QUANTUM SYMMETRIC STATES ON FREE PRODUCT C*-ALGEBRAS

# publications[].label
Subfactors of free products of rescalings of a II$_1$factor

# publications[].label
Ellipsoidal tight frames and projection decompositions of operators

# publications[].label
Purely infinite, simple c*-algebras arising from free product constructions. III

# publications[].label
Erratum to: Perturbation Formulas for Traces on Normed Ideals

# publications[].label
On embeddings of full amalgamated free product C  ^* algebras

# publications[].label
On the Fock representation of the q-commutation relations.

# publications[].label
Synchronous correlation matrices and Connes' embedding conjecture

# publications[].label
Generating functions for purely crossing partitions

# publications[].label
Synchronous correlation matrices Connes' embedding conjecture (vol 57, 015214, 2016)

# publications[].label
The simplex of tracial quantum symmetric states

# publications[].publisher
Institute of Mathematics, Polish Academy of Sciences

# publications[].label
Embeddings of reduced free products of operator algebras

# publications[].label
Compressions of free products of von Neumann algebras

# publications[].label
Primitivity of unital full free products of residually finite dimensional C-algebras

# publications[].label
Multilinear function series and transforms in free probability theory

# publications[].label
Calculation of some integrals for the atomic three-electron problem.

# publications[].label
Non-outer conjugate <inf>p2</inf>-actions on free product factors

# publications[].label
Free Subproducts and Free Scaled Products of II1-Factors

# publications[].label
Hyperinvariant subspaces for some Bcircular operators

# publications[].label
SOFIC DIMENSION FOR DISCRETE MEASURED GROUPOIDS

# publications[].label
On the S-transform over a Banach algebra

# publications[].label
Topological entropy of some automorphisms of reduced amalgamated free product C*-algebras

# publications[].label
Hlder's inequality for roots of symmetric operator spaces

# publications[].publisher
Institute of Mathematics, Polish Academy of Sciences

# publications[].label
On a reduction procedure for Horn inequalities in finite von Neumann algebras

# publications[].label
Some groups whose reduced C-algebras have stable rank one

# publications[].label
Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras

# publications[].label
Purely infinite, simple C*-algebras arising from free product constructions, II

# publications[].label
Topological entropy of free product automorphisms

# publications[].label
Exactness of reduced amalgamated free product C*-algebras

# publications[].label
A comparative study of potential energy surfaces for CH 3 +H 2 CH 4 +H

# publications[].label
Generating functions for moments of the quasi-nilpotent DT-operator

# publications[].label
Invariant subspaces of Voiculescu's circular operator

# researcherOn[].label
Great Plains Operator Theory Symposium 2019-

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Fundamental Decomposition Results in Finite Von Neumann Algebras

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
NSF-Research In Finite Von Neumann Algebras

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Travel Support for US Participants in Focus Program ``New Developments in Free Probability and Applications'-at the Centre de Recherche Mathematiques.-

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# streetAddress
Texas A&M University; Mathematics; 3368 TAMU

# etdChairOf[].label
Tucci Scuadroni, Gabriel H. (2010-07). Some Results in the Hyperinvariant Subspace Problem and Free Probability. Doctoral Dissertation.

# etdChairOf[].label
Torres Ayala, Francisco (2012-07). On Primitivity and the Unital Full Free Product of Finite Dimensional C*-algebras. Doctoral Dissertation.

# etdChairOf[].label
Mukherjee, Kunal K. (2010-10). Masas and Bimodule Decompositions of II_1 Factors. Doctoral Dissertation.

# etdChairOf[].label
Strawn, Nathaniel Kirk (2009-05). Geometry and constructions of finite frames. Master's Thesis.

# etdChairOf[].label
Na, Wonhee (2018-11). Some Results on Bi-Free Probability. Doctoral Dissertation.

# etdChairOf[].label
Ivanov, Nikolay Antonov (2009-05). On the structure of some free products of C*-algebras. Doctoral Dissertation.