Talks (English)

Parts of this material are based upon work supported by the National Science Foundation
under Grant No. 0300398, No. 0600956, No 0901514,  and No. DMS-1160962 since 2003.


Recent materials are based upon work supported by the SFB 878, Groups, Geometry & Actions
Department of Mathematics, Westfälische Wilhelms-Universität, Münster, Germany (Since May 2016).

    Topological Insulators, Physics & Disorder    (pdf file)
        Noncommutative Geometry, Analysis, and Topological Insulators,
        Workshop, Leiden, the Netherlands, February 3-4, 2020

    Spectrum Algebraic Approach to Localization    (pdf file)
        IRMA Seminar, Strasbourg, France
        October 31, 2019

    Spectrum Approximation for Aperiodic Hamiltonians    (pdf file)
        Workshop "Random Physical Systems"
        Puerto Natales, Chile
        December 11-15, 2018

    Laplace Operator on Compact Metric Spaces    (pdf file)
        Workshop "Spectral Approaches to Fractal Geometry"
        University of Gothenburg and Chalmers University of Technology,
        September 17-19, 2018

    Periodic Approximants to Aperiodic Hamiltonians    (pdf file)
        Workshop "Group and Dynamics: Spectra and L²-invariant"
        Université de Genève, September 10-13, 2018

    Periodic Approximants to Aperiodic Hamiltonians    (pdf file)
        Conference "Systèmes Dynamiques et Systèmes Complexes",
        Celebrating J.-M. Gambaudo's 60th birthday, Université de Nice, June 13, 2018

    Persistence of Topological Invariants under Disorder    (pdf file)
        Workshop "Topological protection in messy materials"
        Georgia Institute of Technology, May 14-15, 2018

    Periodic Approximations for Energy Spectra of Aperiodic Media    (pdf file)
        Aalborg Math-Phys Seminar,
        Aalborg University, February 8, 2018

    Periodic Approximants to Aperiodic Hamiltonians    (pdf file)
        Conference "Applications of operator algebras:
        order, disorder and symmetry"
        ICMS, 15 South College Street, Edinburgh, June 26-30, 2017

    Periodic Approximants to Aperiodic Hamiltonians    (pdf file)
        Colloquium Talk, Department of Mathematics,
        Universidad Carlos III, Madrid, November 2nd, 2016

    A Toy Model for Viscosity    (pdf file)
       Joint Institute of Neutron Science,
        Oak Ridge National Laboratory, October 18th, 2016

    Periodic Approximants to Aperiodic Hamiltonians    (pdf file)
       Workshop "Between Dynamics and Spectral Theory",
        Simons Center for Geometry and Physics, June 6 – 10, 2016

    Electronic Transport in Aperiodic Solids    (pdf file)
       Solid-MATH Meeting, Aalborg, Danemark, May 26-28, 2016.

    Noncommutative Geometry of Fractals    (pdf file)
       American Mathematical Society Meeting
       Memphis TN, October 18th, 2015.

    Periodic Approximation to 1D Aperiodic Hamiltonians    (pdf file)
       International Congress of Mathematical Physics
       Santiago, Chile, July 27th, 2015.

    Modeling Liquids and Bulk Metallic Glasses    (pdf file)
       1)-Colloquium Talk, Mathematics Department
       Friedrichs-Schiller- Universität, May 19, 2015.
       2)-Workshop "Mathematics of Novel Materials",
       Institut Mittag-Leffler, Sweden, June 2, 2015
       3)-"Workshop on time-frequency analysis and aperiodic order"
       NTNU, Trondheim, June 10, 2015.

    Topics on Aperiodic Solids   
       Four Lectures :
       Lecture 1: Delone sets and the Anderson-Putnam Complex.
       Lecture 2: C*-algebras and Noncommutative Geometry Approach.
       Lecture 3: Periodic Approximants, an spectral properties, the 1D-case
       Lecture 4: Prospect and discussions.
       Mathematics Department, Texas A&M University,
       February 2-5, 2015.

    The Topology of Tiling Spaces    (pdf file)
       Colloquium Talk, Mathematics Department
       Purdue University, November 4, 2014.

    Periodic Approximant to 1D Aperiodic Hamiltonian    (pdf file)
       1)- Institut of Science and Technology, Klosterneuburg, Austria
       Aug. 27, 2014, First Version    (pdf file)
       2)- ESI workshop "Topological Phases of Condensed Matter"
       Erwin Schrödinger Institute, Vienna, September 9, 2014.
       3)- Conference "Inverse Problems and Spectral Theory"
       Texas A&M University, Oct 17-19, 2014.

    A Noncommutative Geometry Approach to
        topological invariants in Solid State Physics    (pdf file)
       Three Lectures :
       Lecture 1: C*-algebras,
       Lecture 2: K-Theory,
       Lecture 3: Dirac Operator,
       ESI workshop "Topological Phases of Condensed Matter"
       Erwin Schrödinger Institute, Vienna, August 4-8, 2014.

    Computational Noncommutative Geometry    (pdf file)
       Conference "Noncommutative Geometry Festival"
       In honor of Henri Moscovici 70th birthday.
       Texas A&M University, Mathematics, April 30th-May 3rd, 2014

    The Transverse Geometry of Tiling Spaces   (pdf file)
       Colloquium, Vanderbilt University, Mathematics, April 3rd, 2014

    The Topology of Tiling Spaces   (pdf file)
       Colloquium, Seoul National University, Mathematics, March 20, 2014
       Quantum Hall Effect
       Four Lectures, Seoul National University, Mathematics, March 17-18-19-21, 2014.

    Bloch Theory for 1-D FLC Aperiodic Media   (pdf file)
       Lecture given at WCAOS , UC Davis, October 26th, 2013.

    Noncommutative Metric Spaces and Dynamical Systems
       Three Lectures delivered at SISSA, Italy, June 17-20, 2013

    Wannier Transform and Bloch Theory for Aperiodic Repetitive FLC Tilings
       Four Lecture delivered at the workshop "Dynamical Methods in Spectral Theory of Quasicrystals"
       U.C. Irvine, May 15-19, 2013

    Topological Invariants in Disordered Systems
       Distinguished Lecture Series in Applied and Computational Analysis
       UC Santa Barbara, Dept of Mathematics, May 5-15,2013
       & at the workshop "Random Matrices, Quantum Hall Effect, Group Theory",
      DYGEST Corfou Meeting, May 28-31, 2013

    Computational Noncommutative Geometry, the work of Emil Prodan (pdf file)
       Trails in Quantum Mechanics and Surrounding
       INFN, Frascati National Lab, January 29-February 2, 2013

    Modeling Liquid Metals & Bulk Metallic Glasses (pdf file)
       1)-Yeshiva University, College of Women, Physics,
       New-Yok City, December 4th, 2012
       2)-Joint Institute for Neutron Science, Oak Ridge, January 18th, 2013

    1)-Transverse Geometry of Tiling Spaces (pdf file)
       University of Connecticut, November 29th, 2012
      2)- Cantorization and Reconnection Cohomology (Temporary Draft)
       University of Connecticut, November 30th, 2012

    Hull and Tiling Space in Aperiodic Solids (pdf file)
       Joint Institute for Neutron Science, Oak Ridge, October 4th, 2012

   

   

   

   

   

   

Dissipative Dynamics for Electrons in Semiconductors    (pdf file)
        Workshop, "Correlations and Interactions for Random Quantum Systems"
        Mathematisches Forschungsinstitut Oberwolfach, October 24, 2011
        Workshop "Quantum Mechanics: From Foundations to Quantum Information Science"
        Zentrum für interdisciplinäre Forschung, Bielefeld, March 6, 2012

Atomic Motion and Transverse Geometry of Tiling Spaces     (pdf file)
        Colloquium talk, Department of Mathematics,
        University of Victoria, October 6, 2011
        - Workshop "Mathematical approach to emerging topics in material sciences 2012"
        WPI-AIMR, Tohoku University, Sendai, Japan, Feb 18-19, 2012
        - Talk at the Gakushuin University, Tokyo, Japan, Feb 25, 2012
        - Talk at LPTMS, U. Paris-Sud, Orsay, France, Mar 13, 2012

   

   

   

        Workshop "Wave and Quantum Fields",
        Technion, Physics, Haifa, Israel, June 26-30

   

Riemannian Geometry on Metric Cantor Sets  (pdf file)
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      Three Lectures on the Theory of Aperiodic Solids
Gill Foundation, Distinguished Lecture Series
UCLA, Department of Mathematics, May 3-6, 2005
          Lecture I:     Structural Aspects and Noncommutative Geometry  (pdf)

    Dissipative Transport and Kubo's Formula in Aperiodic Solids  (pdf)
Program on Open Quantum Systems
Erwin Schrödinger Institute, Wien, Feb. 1st, 2005

      Various Mathematical Aspects of Tiling Spaces  (pdf)
School of Mathematics, Georgia Tech, Jan. 24th, 2005

    Two Lectures on "Quantum Computing"
        "I: Introduction. Qubits, Quantum circuits (pdf) "
                                      (PowerPoint version 0.4MB)
        "II: Algorithms, Error-correcting codes, Physical Realizations (pdf)"
                                      (PowerPoint version 0.7MB)
Georgia Institute of Technology,
School of Mathematics, Atlanta, GA, October 15 & 29,  2003

    Coherent and Dissipative Transport in Aperiodic Media   (pdf)
        "The Noncommutative Geometry of Aperiodic Solids"
        "Entropy and Information: a physicist point of view" (PowerPoint Presentation 1.7 MB )
Florida State University, Gainesville, FL, October 1-3,  2003

    Kinetic Models for Electronic Transport in Aperiodic Solids  (pdf)
Université Scientifique et Technique de Lille (USTL), France, June 24,  2003

    Linear Response Theory & Kubo's Formula for Electronic Transport  (pdf)
University of California Irvine, CA, May 29,  2003

    Tilings, Aperiodic Media and their Noncommutative Geometry  (pdf)
Duke University, February 28,  2003,
Vanderbilt University, Nashville TN, May 12-13, Shanks Lectures.

    Random Matrix theory and the 2D Anderson Model  (pdf)
-Rutgers, December 15, 2002: "88th Statistical Mechanics Conference" Rutgers University,
    Celebrating E. Lieb's 70th birthday.
-Pasadena, February 17-18, 2003: "Western Seminar" Caltech, Mathematics,
- Como "Quantum Chaos: Theory and Applications", Villa Olmo, Como, June 17-22, 2003,
Celebrating G. Casati's 60th birthday. 

     I.H.E.S., Bures s/Yvette, France,  April 3, 2002    The Noncommutative Geometry of Aperiodic Solids   (pdf)

     38th Winter School of Theoretical Physics, 6-15 February 2002, Lądek Zdrój, Poland

     Georgia Institute of Technology, School of Physics, September 3-6, 2001

     UC Berkeley, Departement of Mathematics, NJ,  August 23, 2001

     Princeton, NJ,  December 12, 2000   Coherent and Dissipative Transport in Aperiodic Media   (pdf)

     MSRI, Berkeley, CA, October 17, 2000   Noncommutative Fermi surfaces  (pdf)
 

     MSRI, Berkeley, CA,  September 26, 2000

     De Rham Colloquium, Lausanne, Switzerland, March 15, 2000

     Mathematical and Physical aspects of the (fractional) Quantum Hall Effect,

     Clausthal, Germany, November 2-6, 1998