Positions

Publications

Academic Article

Year Title
2019 A CHARACTERISATION OF TRACIALLY NUCLEAR C*-ALGEBRASBulletin of the Australian Mathematical Society.  100:119-128. 2019
2018 Perturbations of self-adjoint operators in semifinite von Neumann algebras: Kato–Rosenblum theoremJournal of Functional Analysis.  275:259-287. 2018
2017 COMPLEX SYMMETRIC GENERATORS FOR OPERATOR ALGEBRASJournal of Operator Theory.  77:421-454. 2017
2016 A NONCOMMUTATIVE BEURLING THEOREM WITH RESPECT TO UNITARILY INVARIANT NORMSJournal of Operator Theory.  75:497-523. 2016
2016 On Unital Full Amalgamated Free Products of Quasidiagonal C*-AlgebrasFunctional Analysis and its Applications.  50:39-47. 2016
2016 RELATIVE COMMUTANT OF AN UNBOUNDED OPERATOR AFFILIATED WITH A FINITE VON NEUMANN ALGEBRAJournal of Operator Theory.  75:209-223. 2016
2016 Similarity Degree of a Class of C-AlgebrasIntegral Equations and Operator Theory.  84:121-149. 2016
2015 HOCHSCHILD COHOMOLOGY OF TYPE Pi(1) VON NEUMANN ALGEBRAS WITH PROPERTY GammaOperators and Matrices.  9:507-543. 2015
2014 APPROXIMATE DOUBLE COMMUTANTS AND DISTANCE FORMULASOperators and Matrices.  8:529-553. 2014
2014 MF-TRACES AND A LOWER BOUND FOR THE TOPOLOGICAL FREE ENTROPY DIMENSION IN UNITAL C*-ALGEBRASJournal of Operator Theory.  71:15-44. 2014
2014 TOPOLOGICAL FREE ENTROPY DIMENSION FOR APPROXIMATELY DIVISIBLE C*-ALGEBRASRocky Mountain Journal of Mathematics.  44:1961-1986. 2014
2013 UNITAL FULL AMALGAMATED FREE PRODUCTS OF MF C*-ALGEBRASOperators and Matrices.  7:333-355. 2013
2013 ON MF PROPERTY OF REDUCED AMALGAMATED FREE PRODUCTS OF UHF ALGEBRASHouston Journal of Mathematics.  39:1267-1289. 2013
2012 A NOTE ON UNITAL FULL AMALGAMATED FREE PRODUCTS OF RFD C*-ALGEBRASIllinois Journal of Mathematics.  56:647-659. 2012
2012 REDUCED FREE PRODUCTS OF UNITAL AH ALGEBRAS AND BLACKADAR AND KIRCHBERG'S MF ALGEBRASJournal of Operator Theory.  68:275-302. 2012
2011 Freeness and matrix decompositionsScience in China, Series A: Mathematics, Physics, Astronomy Science China Mathematics.  54:2309-2327. 2011
2011 Topological Free Entropy Dimensions in Nuclear C*-algebras and in Full Free Products of Unital C*-algebrasCanadian Journal of Mathematics.  63:551-590. 2011
2010 SOME EXAMPLES OF BLACKADAR AND KIRCHBERG'S MF ALGEBRASInternational Journal of Mathematics.  21:1239-1266. 2010
2009 AN ELEMENTARY PROOF OF VOICULESCU'S ASYMPTOTIC FREENESS FOR RANDOM UNITARY MATRICESOperators and Matrices.  3:155-165. 2009
2009 Topological free entropy dimension in unital C*-algebrasJournal of Functional Analysis.  256:2027-2068. 2009
2009 TYPE II1 FACTORS WITH A SINGLE GENERATORJournal of Operator Theory.  62:421-438. 2009
2008 Tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier propertyJournal of Functional Analysis.  255:142-183. 2008
2007 Free orbit dimension of finite von Neumann algebrasJournal of Functional Analysis.  249:75-91. 2007
2006 Maximal injective subalgebras of tensor products of free group factorsJournal of Functional Analysis.  240:334-348. 2006
2005 Free group factors and factors with some decompositionsProceedings of the American Mathematical Society.  133:2267-2273. 2005
2002 On free entropy dimension of finite von Neumann algebrasGeometric and Functional Analysis.  12:546-566. 2002
2002 Generator problem for certain property T factors.Proceedings of the National Academy of Sciences of the United States of America.  99:565-567. 2002
2000 Free entropy and property T factors.Proceedings of the National Academy of Sciences of the United States of America.  97:9881-9885. 2000
Topological Free Entropy Dimension in Unital C^* algebras (II) : Orthogonal Sum of Unital C^*-algebras

Teaching Activities

  • 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
  • Education And Training

  • B.S. Mathematics, Nanjing University
  • M.S. Mathematics, Nanjing University
  • Ph.D. Mathematics, University of Pennsylvania
  • Full Name

  • Junhao Shen