Jianchao

Jianchao Wu

E-mail jianchao[dot]wu[at]psu[dot]edu
Telephone +1 814-863-6398
Fax +1 814-865-3735
Office 309 McAllister Building
Address Penn State University Mathematics Dept.
University Park, State College, PA 16802
United States



I am an assistant research professor at the Department of Mathematics. My research interests include: operator algebras, noncommutative geometry, topological dynamics, K-theory, coarse geometry, etc. My mentor at Penn State is Prof. Nate Brown. I am a co-organizer of the Noncommutative Geometry Seminar at Penn State.


Publications


Preprints


Research talks

  • Dimensions for C*-algebras and topological dynamics.
    Wabash Mini-Conference, Indiana University - Purdue University Indianapolis. September 15, 2018.
  • Demystifying Rokhlin dimension and related notions.
    Analysis Seminar, SUNY Buffalo. September 12, 2018.
  • C*-algebras, topological dynamics, and noncommutative dimensions.
    Dynamics Seminar, University of Maryland. August 30, 2018.
  • Demystifying Rokhlin dimension.
    International Workshop on Operator Theory and its Applications (IWOTA), East China Normal University and Fudan University. July 24, 2018.
  • The Novikov conjecture and groups of diffeomorphisms.
    International Workshop on Operator Theory and its Applications (IWOTA), East China Normal University and Fudan University. July 24, 2018.
  • C*-regularity properties and dynamics I & II.
    Seminar, Research Center for Operator Algebras, East China Normal University. June 8 & 12, 2018.
  • Local triviality dimension and Borsuk-Ulam-type conjectures.
    Workshop ``Noncommutative Geometry and Index Theory for Group Actions and Singular Spaces'', Texas A&M University. May 21, 2018.
  • C*-regularity properties and dynamics.
    Sixteenth Annual Spring Institute on Noncommutative Geometry and Operator Algebras, University of Münster. May 16, 2018.
  • C*-algebras, topological dynamics, and noncommutative dimensions.
    Seminar in Operator Theory and Operator Algebras, Department of Mathematics, University of Virginia. April 10, 2018.
  • Demystifying Rokhlin dimension.
    Analysis Seminar, University of Oregon. March 6, 2018.
  • Demystifying Rokhlin dimension.
    Workshop on computability of K-theory for C*-algebra, Texas A&M University. February 23, 2018.
  • Demystifying Rokhlin dimension.
    Southern Ontario Operator Algebras Seminar, University of Waterloo. February 17, 2018.
  • Demystifying Rokhlin dimension.
    Operator Algebras Seminar, Department of Mathematics, Purdue University. February 13, 2018.
  • Cubical, categorical and continuous: comparing cohomologies coming from k-graphs (slides).
    Geometry and Physics Seminar, Department of Mathematics, Penn State University. January 31, 2018.
  • Local triviality dimension and Borsuk-Ulam-type conjectures.
    Seminar, Research Center for Operator Algebras, East China Normal University. January 2, 2018.
  • C*-algebras, topological dynamics, and noncommutative dimensions.
    Noncommutative Geometry Seminar, Department of Mathematics, Penn State University. November 16, 2017.
  • Noncommutative dimensions and crossed product C*-algebras (slides).
    The Second Northeastern Analysis Meeting, SUNY Albany. October 14, 2017.
  • Dimensions in topological dynamics and crossed product C*-algebras.
    Analysis Seminar, SUNY Buffalo. October 11, 2017.
  • Noncommutative dimensions and topological dynamics.
    East Coast Operator Algebra Symposium, University of Louisiana at Lafayette. October 7, 2017.
  • Noncommutative dimensions and topological dynamics.
    Mini-Workshop "MASAs and Automorphisms of C*-algebras", Mathematisches Forschungsinstitut Oberwolfach. September 18, 2017.
  • Noncommutative dimensions and topological actions by groups with polynomial growth (video).
    Workshop "Future Targets in the Classification Program for Amenable C*-Algebras", Banff International Research Station. September 5, 2017.
  • Boxes, colors, flows and leaves: Bounding noncommutative dimension.
    Operator Algebra Seminar, Fields Institute. August 8, 2017.
  • Crossed products and noncommutative dimensions (slides).
    Satellite Conference, Mathematical Congress of the Americas, Fields Institute. August 4, 2017.
  • Rokhlin dimension beyond residually finite groups (slides).
    Weekly Seminar, Intensive Research Program "Operator Algebras", Centre de Recerca Matemàtica. July 12, 2017.
  • Cubical, categorical and continuous: comparing cohomologies coming from k-graphs.
    Special Week on Operator Algebras, Research Center for Operator Algebras, East China Normal University. June 5, 2017.
  • Noncommutative dimensions and dynamics.
    Great Plains Operator Theory Symposium, Texas Christian University. May 22, 2017.
  • Cubical, categorical and continuous: comparing cohomologies coming from k-graphs.
    Analysis Seminar, University of Oregon. May 9, 2017.
  • Noncommutative dimensions and dynamics.
    Noncommutative Geometry Seminar, Department of Mathematics, Texas A&M University. March 7, 2017.
  • Localization C*-algebras and K-theoretic duality.
    Seminar, Research Center for Operator Algebras, East China Normal University. December 26, 2016.
  • (Lecture Series) Colors and Towers: Noncommutative Dimensions and Dynamics.
    The 4th Workshop on Operator Algebras, School of Mathematics, Institute for Research in Fundamental Sciences (IPM). December 6-8, 2016.
  • Rokhlin dimension for flows.
    Conference Structure and Classification of C*-algebras, the Mathematical Institute of the Polish Academy of Sciences. November 24, 2016.
  • The amenability dimension for topological and C*-dynamics.
    Geometric Group Theory Seminar, the Mathematical Institute of the Polish Academy of Sciences. November 24, 2016.
  • Cubical, categorial and continuous: comparing cohomologies coming from k-graphs.
    Operator Algebra Seminar, University of Copenhagen. November 9, 2016.
  • Cubical, categorial and continuous: comparing cohomologies coming from k-graphs.
    Kleines Seminar, University of Münster. October 31, 2016.
  • General positions and finite dimensions for dynamical systems.
    Special Week on Operator Algebras, Research Center for Operator Algebras, East China Normal University. June 6, 2016.
  • Furstenberg's x2, x3 problem and unitary representations of a metabelian group.
    Workshop Classification and Set Theory, Institut Mittag-Leffler. March 22, 2016.
  • The amenability dimension for topological and C*-dynamics.
    Workshop Classification and Dynamical Systems I: C*-algebras, Institut Mittag-Leffler. February 23, 2016.
  • Variations on the theme of amenability
    Operator Algebra Seminar, University of Copenhagen. January 13, 2016.
  • On noncommutative dimension theory.
    Seminar, Research Center for Operator Algebras, East China Normal University. January 4, 2016.
  • Hausdorff closeness relations and the rigidity of Roe algebras.
    Seminar, Research Center for Operator Algebras, East China Normal University. December 30, 2015.
  • Noncommutative dimension theories for topological and C*-dynamics (video).
    Noncommutative Geometry Seminar, the Mathematical Institute of the Polish Academy of Sciences. December 14, 2015.
  • The amenability dimension and its generalizations.
    Conference on Noncommutative Dimension Theories, University of Hawaii-Manoa. November 25, 2015.
  • Crossed product C*-algebras and nuclear dimension (slides).
    Young Mathematicians in C*-Algebras, University of Copenhagen. August 17, 2015.
  • Recent developments on dimension theory for dynamical systems and the nuclear dimension for crossed products.
    Seminar, Research Center for Operator Algebras, East China Normal University. July 30, 2015.
  • The amenability dimension and company.
    Noncommutative methods in Topology and Geometry, University Lyon 1. June 2, 2015.
  • The amenability dimension and company.
    Workshop on C*-algebras: Structure and Classification, University of Münster. April 24, 2015.
  • Introduction to the Kadison-Singer problem.
    Oberwolfach Arbeitsgemeinschaft, Mathematisches Forschungsinstitut Oberwolfach. March 30, 2015.
  • The amenability dimension and company.
    Spring School on Algebraic K-theory of Topological Algebras, Universität Regensburg. March 17, 2015.
  • Variations on the theme of amenability.
    Seminar, Research Center for Operator Algebras, East China Normal University. March 10, 2014.
  • A quartet of dimensions: generalizing Rokhlin dimension to residually finite groups.
    Ring Theory Seminar, Universitat Autónoma de Barcelona. December 5, 2014.
  • Rokhlin dimension and tower dimension of topological flows.
    Kleines Seminar, University of Münster. November 17 & 24, 2014.
  • A quartet of dimensions: generalizing Rokhlin dimension to residually finite groups.
    Classification, STructure, Amenability and Regularity (C Star), University of Glasgow. August 28, 2014.
  • Rokhlin dimension for residually finite groups and genericity of finite nuclear dimensions for free topological dynamical systems of nilpotent groups.
    Special Week on Operator Algebras, Research Center for Operator Algebras, East China Normal University. August 2, 2014.
  • Nuclear dimension of crossed products by infinite non-abelian groups.
    Oberseminar C*-algebren, University of Münster. May 20, 2014.
  • Long thin covers for flow spaces.
    Kleines Seminar, University of Münster. November 14 & December 5, 2013.
  • Novikov conjecture, volume preserving diffeomorphisms and non-positively curved Hilbert manifolds.
    Oberseminar C*-algebren, University of Münster. October 22, 2013.
  • Sofic measure entropy.
    Oberwolfach Arbeitsgemeinschaft, Mathematisches Forschungsinstitut Oberwolfach. October 8, 2013.
  • Novikov conjecture, volume preserving diffeomorphisms & non-positively curved Hilbert manifolds.
    Concentration Week: Dynamics, Geometry, and Operator Algebras, Texas A&M University. August 9, 2013.
  • Introduction to noncommutative geometry and the Baum-Connes conjecture.
    Graduate Student Organization Seminar, Department of Mathematics, Texas A&M University. April 4, 2013.
  • The Novikov conjecture and Hilbert manifolds with non-positive sectional curvatures.
    Noncommutative Geometry Seminar, Department of Mathematics, Vanderbilt University. November 12, 2012.
  • Asymptotic Morphisms and the Atiyah-Singer index theorem.
    Noncommutative Geometry Seminar, Department of Mathematics, Vanderbilt University. September 10 & 17, 2012.
  • Higher Index, Equivariant Coarse Novikov Conjecture & Non-Positive Sectional Curvature.
    Chongqing Analysis Meeting III, Chongqing University. June 2, 2012.
  • Equivariant Coarse Novikov Conjecture for Non-Positively Curved Manifolds.
    Topology and Functional Analysis 2012, Fudan University. May 25, 2012.
  • Equivariant Coarse Novikov Conjecture for Non-Positively Curved Manifolds.
    Noncommutative Geometry Seminar, Department of Mathematics, Vanderbilt University. April 10, 2012.

Teaching


Educational Talks

  • Pizzas, Bagels, Pretzels, and Euler's Magical χ (slides).
    Math Club, Department of Mathematics, Penn State University, State College, Pennsylvania, United States. September 19, 2016.
  • Pizzas, Bagels, Pretzels, and Euler's Magical χ.
    Undergraduate Seminar, Department of Mathematics, Vanderbilt University, Nashville, Tennessee, United States. March 20, 2012.