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Shen, Junhao
PROFESSOR, Mathematics & Statistics
Junhao.Shen@unh.edu
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Shen, Junhao
PROFESSOR, Mathematics & Statistics
Positions
Member
,
College of Engineering and Physical Sciences (CEPS)
,
University of New Hampshire
Member
,
Tenure Faculty (CEPS)
,
College of Engineering and Physical Sciences (CEPS)
Member
,
Mathematics & Statistics
,
College of Engineering and Physical Sciences (CEPS)
Publications
Research
Teaching
Background
Contact
Publications
Selected Publications
Academic Article
Filter
Year
Title
2020
A generalization of Voiculescu's theorem for normal operators to semifinite von Neumann algebras
.
Advances in Mathematics
. 375:107347-107347.
2020
2019
A CHARACTERISATION OF TRACIALLY NUCLEAR C*-ALGEBRAS
.
Bulletin of the Australian Mathematical Society
. 100:119-128.
2019
2018
Perturbations of self-adjoint operators in semifinite von Neumann algebras: Kato–Rosenblum theorem
.
Journal of Functional Analysis
. 275:259-287.
2018
2017
COMPLEX SYMMETRIC GENERATORS FOR OPERATOR ALGEBRAS
.
Journal of Operator Theory
. 77:421-454.
2017
2016
A NONCOMMUTATIVE BEURLING THEOREM WITH RESPECT TO UNITARILY INVARIANT NORMS
.
Journal of Operator Theory
. 75:497-523.
2016
2016
On Unital Full Amalgamated Free Products of Quasidiagonal C*-Algebras
.
Functional Analysis and Its Applications
. 50:39-47.
2016
2016
RELATIVE COMMUTANT OF AN UNBOUNDED OPERATOR AFFILIATED WITH A FINITE VON NEUMANN ALGEBRA
.
Journal of Operator Theory
. 75:209-223.
2016
2016
Similarity Degree of a Class of C-Algebras
.
Integral Equations and Operator Theory
. 84:121-149.
2016
2015
HOCHSCHILD COHOMOLOGY OF TYPE Pi(1) VON NEUMANN ALGEBRAS WITH PROPERTY Gamma
.
Operators and Matrices
. 9:507-543.
2015
2014
APPROXIMATE DOUBLE COMMUTANTS AND DISTANCE FORMULAS
.
Operators and Matrices
. 8:529-553.
2014
2014
MF-TRACES AND A LOWER BOUND FOR THE TOPOLOGICAL FREE ENTROPY DIMENSION IN UNITAL C*-ALGEBRAS
.
Journal of Operator Theory
. 71:15-44.
2014
2014
TOPOLOGICAL FREE ENTROPY DIMENSION FOR APPROXIMATELY DIVISIBLE C*-ALGEBRAS
.
Rocky Mountain Journal of Mathematics
. 44:1961-1986.
2014
2013
UNITAL FULL AMALGAMATED FREE PRODUCTS OF MF C*-ALGEBRAS
.
Operators and Matrices
. 7:333-355.
2013
2013
ON MF PROPERTY OF REDUCED AMALGAMATED FREE PRODUCTS OF UHF ALGEBRAS
.
Houston Journal of Mathematics
. 39:1267-1289.
2013
2012
A NOTE ON UNITAL FULL AMALGAMATED FREE PRODUCTS OF RFD C*-ALGEBRAS
.
Illinois Journal of Mathematics
. 56:647-659.
2012
2012
REDUCED FREE PRODUCTS OF UNITAL AH ALGEBRAS AND BLACKADAR AND KIRCHBERG'S MF ALGEBRAS
.
Journal of Operator Theory
. 68:275-302.
2012
2011
Freeness and matrix decompositions
.
Science China Mathematics
. 54:2309-2327.
2011
2011
Topological Free Entropy Dimensions in Nuclear C*-algebras and in Full Free Products of Unital C*-algebras
.
Canadian Journal of Mathematics
. 63:551-590.
2011
2010
SOME EXAMPLES OF BLACKADAR AND KIRCHBERG'S MF ALGEBRAS
.
International Journal of Mathematics
. 21:1239-1266.
2010
2009
AN ELEMENTARY PROOF OF VOICULESCU'S ASYMPTOTIC FREENESS FOR RANDOM UNITARY MATRICES
.
Operators and Matrices
. 3:155-165.
2009
2009
Topological free entropy dimension in unital C*-algebras
.
Journal of Functional Analysis
. 256:2027-2068.
2009
2009
TYPE II1 FACTORS WITH A SINGLE GENERATOR
.
Journal of Operator Theory
. 62:421-438.
2009
2008
Tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property
.
Journal of Functional Analysis
. 255:142-183.
2008
2007
Free orbit dimension of finite von Neumann algebras
.
Journal of Functional Analysis
. 249:75-91.
2007
2007
Topological Free Entropy Dimension in Unital C^* algebras (II) : Orthogonal Sum of Unital C^*-algebras
2007
2006
Maximal injective subalgebras of tensor products of free group factors
.
Journal of Functional Analysis
. 240:334-348.
2006
2005
Free group factors and factors with some decompositions
.
Proceedings of the American Mathematical Society
. 133:2267-2272.
2005
2002
On free entropy dimension of finite von Neumann algebras
.
Geometric and Functional Analysis
. 12:546-566.
2002
2002
Generator problem for certain property T factors.
.
Proceedings of the National Academy of Sciences of USA
. 99:565-567.
2002
2000
Free entropy and property T factors.
.
Proceedings of the National Academy of Sciences of USA
. 97:9881-9885.
2000
Article
Filter
Year
Title
2016
Topological Orbit Dimension of MF $C^*$-algebras
2016
Research
Principal Investigator On
Free Probability Theory and its Applications in Operator Algebras
awarded by
National Science Foundation (NSF)
2009 - 2012
von Neumann Algebras, Free Probability and Free Entropy
awarded by
National Science Foundation (NSF)
2006 - 2009
Teaching
Teaching Activities
Analysis of Real Numbers
Taught course
Calculus II
Taught course
Calculus II
Taught course
Calculus II
Taught course
Calculus II
Taught course
Calculus II
Taught course
Calculus II
Taught course
Calculus II
Taught course
Calculus II
Taught course
Calculus II
Taught course
Intro to Linear Algebra
Taught course
One-Dimensional Real Analysis
Taught course
2024
One-Dimensional Real Analysis
Taught course
2024
Directed Reading
Taught course
2024
Intro to Linear Algebra
Taught course
2023
Real Analysis II
Taught course
2023
Mathematical Proof
Taught course
2022
One-Dimensional Real Analysis
Taught course
2022
Graph Theory & Discrete Math
Taught course
2022
Intro to Linear Algebra
Taught course
2022
Mathematical Proof
Taught course
2022
Analysis II
Taught course
2021
Calculus II
Taught course
2021
Analysis of Real Numbers
Taught course
2021
Intro to Linear Algebra
Taught course
2021
Real Analysis II
Taught course
2021
Analysis II
Taught course
2020
Calculus II
Taught course
2020
Graph Theory & Discrete Math
Taught course
2020
Analysis I
Taught course
2020
Intro to Linear Algebra
Taught course
2020
Analysis II
Taught course
2019
Calculus II
Taught course
2019
Set Theory
Taught course
2019
Analysis of Real Numbers
Taught course
2019
Calculus II
Taught course
2018
Mathematical Proof
Taught course
2018
Mathematical Proof
Taught course
2018
Graph Theory & Discrete Math
Taught course
2018
Analysis I
Taught course
2018
Intro to Linear Algebra
Taught course
2018
Calculus II
Taught course
2017
Mathematical Proof
Taught course
2017
Topology for Teachers
Taught course
2017
Diff Equation w/Linear Algebra
Taught course
2017
Mathematical Proof
Taught course
2017
Analysis II
Taught course
2016
Mathematical Proof
Taught course
2016
Graph Theory & Discrete Math
Taught course
2016
Calculus II
Taught course
2016
Calculus II
Taught course
2016
Calculus II
Taught course
2016
Calculus II
Taught course
2016
Calculus II
Taught course
2016
One-Dimensional Real Analysis
Taught course
2015
Senior Seminar
Taught course
2015
Directed Reading
Taught course
2015
Topology for Teachers
Taught course
2015
Analysis I
Taught course
2015
Mathematical Proof
Taught course
2015
Directed Reading
Taught course
2014 - 2015
Diff Equation w/Linear Algebra
Taught course
2014
One-Dimensional Real Analysis
Taught course
2014
Graph Theory
Taught course
2014
Calculus I
Taught course
2014
Mathematical Proof
Taught course
2014
Background
Education And Training
B.S. Mathematics,
Nanjing University
M.S. Mathematics,
Nanjing University
Ph.D. Mathematics,
University of Pennsylvania
Contact
Full Name
Junhao
Shen