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 a research associate at the math department. My research interests include: noncommutative geometry, C*-algebras, topological and measure-theoretic dynamics, operator K-theory, coarse geometry, etc. My mentor at Penn State is Prof. Nate Brown.


Research papers

  • Ilan Hirshberg and Jianchao Wu. The nuclear dimension of C*-algebras associated to homeomorphisms (with an appendix by Gábor Szabó). Advances in Mathematics 304, 56--89 (2017). arXiv:1509.01508.
  • Ilan Hirshberg, Gábor Szabó, Wilhelm Winter, and Jianchao Wu. Rokhlin dimension for flows. Communications in Mathematical Physics 353 (1), 253--316 (2017). arXiv:1607.02222.
  • Huichi Huang, Jianchao Wu. Ergodic invariant states and irreducible representations of crossed product C*-algebras. Journal of Operator Theory 78 (1), 159--172 (2017). arXiv:1505.06633.
  • Gábor Szabó, Jianchao Wu, and Joachim Zacharias. Rokhlin dimension for actions of residually finite groups. Accepted by Ergodic Theory and Dynamical Systems. arXiv:1408.6096.
  • Pere Ara, Kang Li, Fernando Lledó, Jianchao Wu. Amenability of coarse spaces and K-algebras. Accepted by Bulletin of Mathematical Sciences. arXiv:1607.00328.
  • Damien Sawicki and Jianchao Wu. Straightening warped cones. arXiv:1707.02960.
  • Pere Ara, Kang Li, Fernando Lledó, Jianchao Wu. Amenability and uniform Roe algebras. arXiv:1706.04875.
  • Marius Dadarlat, Rufus Willett, and Jianchao Wu. Localization C*-algebras and K-theoretic duality. arXiv:1609.06690.
  • Martin Finn-Sell and Jianchao Wu. The asymptotic dimension of box spaces for elementary amenable groups. arXiv:1508.05018.

Research talks

  • 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", MFO, Oberwolfach, Germany. 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", BIRS, Banff, Canada. September 5, 2017.
  • Boxes, colors, flows and leaves: Bounding noncommutative dimension.
    Operator Algebra Seminar, Fields Institute, Toronto, Canada. August 8, 2017.
  • Crossed products and noncommutative dimensions (slides).
    Satellite Conference, Mathematical Congress of the Americas, Fields Institute, Toronto, Canada. August 4, 2017.
  • Rokhlin dimension beyond residually finite groups (slides).
    Weekly Seminar, Intensive Research Program "Operator Algebras", Centre de Recerca Matemàtica, Barcelona, Spain. July 12, 2017.
  • Cubical, categorical and continuous: comparing cohomologies coming from k-graphs.
    Special Week on Operator Algebras, East China Normal University, Shanghai, China. June 5, 2017.
  • Noncommutative dimensions and dynamics.
    Great Plains Operator Theory Symposium, Texas Christian University, Fort Worth, Texas, United States. May 22, 2017.
  • Cubical, categorical and continuous: comparing cohomologies coming from k-graphs.
    Analysis Seminar, University of Oregon, Eugene, Oregon, United States. May 9, 2017.
  • Noncommutative dimensions and dynamics.
    Noncommutative Geometry Seminar, Department of Mathematics, Texas A\&M University, College Station, Texas, United States. March 7, 2017.
  • Localization C*-algebras and K-theoretic duality.
    Seminar, Research Center for Operator Algebras, East China Normal University, Shanghai, China. December 26, 2016.
  • (Lecture Series) Colors and Towers: Noncommutative Dimensions and Dynamics.
    The 4th Workshop on Operator Algebras, School of Mathematics, IPM, Tehran, Iran, December 6-8, 2016.
  • Rokhlin dimension for flows.
    Conference Structure and Classification of C*-algebras, the Mathematical Institute of the Polish Academy of Sciences, Warsaw, Poland. November 24, 2016.
  • The amenability dimension for topological and C*-dynamics.
    Geometric Group Theory Seminar of the Mathematical Institute of the Polish Academy of Sciences, Warsaw, Poland. November 24, 2016.
  • Cubical, categorial and continuous: comparing cohomologies coming from k-graphs.
    Operator Algebra Seminar, University of Copenhagen, Copenhagen, Denmark. November 9, 2016.
  • Cubical, categorial and continuous: comparing cohomologies coming from k-graphs.
    Kleines Seminar, Universität Münster, Münster, Germany. 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, Shanghai, China. June 6, 2016.
  • Furstenberg's x2, x3 problem and unitary representations of a metabelian group.
    Workshop Classification and Set Theory, Institut Mittag-Leffler, Stockholm, Sweden. March 22, 2016.
  • The amenability dimension for topological and C*-dynamics.
    Workshop Classification and Dynamical Systems I: C*-algebras, Institut Mittag-Leffler, Stockholm, Sweden. February 23, 2016.
  • Variations on the theme of amenability
    Operator Algebra Seminar, University of Copenhagen, Copenhagen, Denmark. January 13, 2016.
  • On noncommutative dimension theory.
    Seminar, Research Center for Operator Algebras, East China Normal University, Shanghai. China. January 4, 2016.
  • Hausdorff closeness relations and the rigidity of Roe algebras.
    Seminar, Research Center for Operator Algebras, East China Normal University, Shanghai, China. December 30, 2015.
  • Noncommutative dimension theories for topological and C*-dynamics (video).
    Noncommutative Geometry Seminar of the Mathematical Institute of the Polish Academy of Sciences, Warsaw, Poland. December 14, 2015.
  • The amenability dimension and its generalizations.
    Conference on Noncommutative Dimension Theories, University of Hawaii-Manoa, Honolulu, United States. November 25, 2015.
  • Crossed product C*-algebras and nuclear dimension (slides).
    Young Mathematicians in C*-Algebras, University of Copenhagen, Copenhagen, Denmark. 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, Shanghai, China. July 30, 2015.
  • The amenability dimension and company.
    Noncommutative methods in Topology and Geometry, University Lyon 1, Lyon, France. June 2, 2015.
  • The amenability dimension and company.
    Workshop on C*-algebras: Structure and Classification, Universität Münster, Münster, Germany. April 24, 2015.
  • Introduction to the Kadison-Singer problem.
    Oberwolfach Arbeitsgemeinschaft, Oberwolfach, Germany. March 30, 2015.
  • The amenability dimension and company.
    Spring School on Algebraic K-theory of Topological Algebras, Universität Regensburg, Regensburg, Germany. March 17, 2015.
  • Variations on the theme of amenability.
    Seminar, Research Center for Operator Algebras, East China Normal University, Shanghai, China. March 10, 2014.
  • A quartet of dimensions: generalizing Rokhlin dimension to residually finite groups.
    Ring Theory Seminar, Universitat Autónoma de Barcelona, Barcelona, Spain. December 5, 2014.
  • Rokhlin dimension and tower dimension of topological flows.
    Kleines Seminar, Universität Münster, Münster, Germany. 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, Glasgow, United Kingdom. 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, Shanghai, China. August 2, 2014.
  • Nuclear dimension of crossed products by infinite non-abelian groups.
    Oberseminar C*-algebren, Universität Münster, Münster, Germany. May 20, 2014.
  • Long thin covers for flow spaces.
    Kleines Seminar, Universität Münster, Münster, Germany. November 14 & December 5, 2013.
  • Novikov conjecture, volume preserving diffeomorphisms and non-positively curved Hilbert manifolds.
    Oberseminar C*-algebren, Universität Münster, Münster, Germany. October 22, 2013.
  • Sofic measure entropy.
    Oberwolfach Arbeitsgemeinschaft, Oberwolfach, Germany. October 8, 2013.
  • Novikov conjecture, volume preserving diffeomorphisms & non-positively curved Hilbert manifolds.
    Concentration Week: Dynamics, Geometry, and Operator Algebras, Texas A&M University, College Station, United States. August 9, 2013.
  • Introduction to noncommutative geometry and the Baum-Connes conjecture.
    Graduate Student Organization Seminar, Department of Mathematics, Texas A&M University, College Station, United States. April 4, 2013.
  • The Novikov conjecture and Hilbert manifolds with non-positive sectional curvatures.
    Noncommutative Geometry Seminar, Department of Mathematics, Vanderbilt University, Nashville, Tennessee, United States. November 12, 2012.
  • Asymptotic Morphisms and the Atiyah-Singer index theorem.
    Noncommutative Geometry Seminar, Department of Mathematics, Vanderbilt University, Nashville, Tennessee, United States. September 10 & 17, 2012.
  • Higher Index, Equivariant Coarse Novikov Conjecture & Non-Positive Sectional Curvature.
    Chongqing Analysis Meeting III, Chongqing University, Chongqing, China. June 2, 2012.
  • Equivariant Coarse Novikov Conjecture for Non-Positively Curved Manifolds.
    Topology and Functional Analysis 2012, Fudan University, Shanghai, China. May 25, 2012.
  • Equivariant Coarse Novikov Conjecture for Non-Positively Curved Manifolds.
    Noncommutative Geometry Seminar, Department of Mathematics, Vanderbilt University, Nashville, Tennessee, United States. 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.