Jeffrey C. Lagarias: Talk Slides

These are slides of selected talks. Some include extra slides not given in the talks, and some include corrections made after the talk.


[2016]

  • Dilated Floor Functions and their Commutators,
    Jeffrey C. Lagarias,
    Einstein Workshop on Lattice Polytopes,
    Freie Universit\"{a}t Berlin, Berlin, GERMANY, December 2016
    [slides].

  • Polynomial Splitting Measures and Cohomology of the Pure Braid Group,
    Jeffrey C. Lagarias,
    14-th Triangle Lectures on Combinatorics,
    North Carolina State University, Raleigh, NC, November 2016
    [slides].

  • The Lerch Zeta Function and the Heisenberg Group.
    Jeffrey C. Lagarias,
    Research Conference on Elliptic Curves and Modular Forms,
    The University of Connecticut, Storrs, CT, August 2016
    [slides].

  • Products of Farey Fractions.
    Jeffrey C. Lagarias,
    Numbers, Geometries and Games: A Centenarian of Mathematics,
    MAA Mathfest 2016, Columbus, OH August 2016
    [slides].

  • Mathematics and Technology-Past and Future,
    Jeffrey C. Lagarias,
    3-rd Joint Kyoto Prize Symposium: Session on Mathematical Sciences,
    Kyoto University-Inamori Foundation Symposium, Kyoto, JAPAN, July 2016
    [slides].


    [2015]

  • The Arithmetic of the Spheres,
    Jeffrey C. Lagarias,
    AMS-MAA Invited Lecture,
    MAA Mathfest 2015, Washington, DC, August 2015
    [slides].

  • Erdos, Klarner and the 3x+1 Problem,
    Jeffrey C. Lagarias,
    Connections in Discrete Mathematics,
    Simon Fraser University, Burnaby, BC, CANADA, June 2015
    [slides].

  • Multivariable Zeta Functions,
    Jeffrey C. Lagarias,
    International Conference in Number Theory and Physics,
    IMPA, Rio de Janeiro, BRAZIL, June 2015
    [slides].

  • Packing Space with Regular Tetrahedra,
    Jeffrey C. Lagarias,
    Clay Senior Fellow Public Lecture,
    ICERM Semester Program on Phase Transitions and Emergent Properties
    Institute for Computational and Experimental Reserach in Mathematics (ICERM),
    Brown University, Providence RI, April 2015
    [slides (large file 10MB) ].

  • A totally disconnected thread: Some complicated p-adic fractals,
    Jeffrey C. Lagarias,
    Invited Paper Session on Fractal Geometry and Dynamics,
    Joint Math. Meetings, San Antonio, TX, Jan. 2015
    [slides].


    [2014]

  • Facts and conjectures about factorizations of Fibonacci and Lucas numbers
    Jeffrey C. Lagarias,
    Edouard Lucas Memorial Lecture,
    Sixteenthth International Conference on Fibonacci Numbers and their Applications,
    Rochester Institute of Technology (RIT), Rochester NY, July 2014
    [slides].

  • Durer, polyhedra and shadows,
    Jeffrey C. Lagarias,
    500 Years of Melancholia in Mathematics,
    NYU Polytechnic, Brooklyn NY, May 2014
    [slides (large file 13.4MB)].


    [2013]

  • Polyharmonic Maass forms for PSL(2, Z),
    Jeffrey C. Lagarias and Robert C. Rhoades,
    Special Session on Modular Forms and Modular Integrals
    (In Memory of Marvin Knopp),
    AMS Sectional Meeting, Temple University,
    Philadelphia, PA, Oct 2013
    [slides].

  • The Lerch zeta function and related functions,
    Jeffrey C. Lagarias,
    Conference on Stark's Conjectures and Related Topics,
    UCSD, La Jolla, CA, Sept. 2013
    [slides].

  • From ABC to XYZ, or, Addition versus Multiplication,
    Jeffrey C. Lagarias,
    LMS Mary Cartwright Symposium,
    London Math. Society, London, ENGLAND, March 2013
    [slides].

  • Correlations of fractional parts of dilated harmonic sequences,
    Jeffrey C. Lagarias and David Montague,
    Special Session on Arithmetic Statistics,
    Joint Math. Meetings, San Diego, CA, Jan. 2013
    [slides].

  • Intersections of multiplicative translates of 3-adic Cantor sets,
    William C. Abram and Jeffrey C. Lagarias,
    AMS-SIAM Special Session on Mathematics of Computation,
    Joint Math. Meetings, San Diego, CA, Jan. 2013
    [slides].


    [2012]

  • Addition versus Multiplication,
    Jeffrey C. Lagarias,
    IST Math Extravaganza,
    Institute of Science and Technology Austria (IST),
    Klosterneuburg, AUSTRIA, Dec. 2012
    [slides].

  • Cube Tiling: Hajos and Beyond,
    Jeffrey C. Lagarias
    Hajos Memorial Conference,
    E\"{o}tv\"{o}s Lor\'{a}nd University
    Budapest, HUNGARY, Sept. 2012
    [slides].

  • Hilbert Spaces of Entire Functions: Operator Theory and the Riemann Zeta Function,
    Jeffrey C. Lagarias,
    Quantum Mechanics, Operator Theory and the Riemann Zeta Function,
    Benasque Center of Sciences Pedro Pascual,
    Benasque, SPAIN, June 2012
    [slides].

  • Fractal Structures in Functions Related to Number Theory,
    Jeffrey C. Lagarias,
    Special Session on Fractal Geometry in Pure and Applied Mathematics,
    (in memory of Benoit Mandelbrot),
    Joint Math. Meetings, Boston, MA, Jan. 2012
    [slides].


    [2011]

  • Complexity of Diophantine Equations,
    Jeffrey C. Lagarias,
    Mathematical Aspects of P versus NP and its Variants,
    Institute for Computational and Experimental Research in Mathematics(ICERM),
    Brown University, Providence, RI, August 2011
    [slides].

  • The Takagi function,
    Jeffrey C. Lagarias,
    The Beauty and Power of Number Theory,
    Joint Math Meetings, New Orleans, LA, Jan. 2011
    [slides].


    [2010]

  • The Lerch zeta function: Analytic continuation,
    J. C. Lagarias,
    Workshop on Various Zeta Functions and Related Topics,
    University of Tokyo, Tokyo, JAPAN, Dec. 2010
    [slides]

  • The Takagi function and related functions,
    J. C. Lagarias,
    Functions in Number Theory and their Probabilistic Aspects,
    Research Institute for Mathematical Sciences (RIMS),
    Kyoto University, Kyoto, JAPAN, Dec. 2010
    [slides]


    [2009]

  • Ternary Expansions of Powers of 2,
    J. C. Lagarias,
    Workshop on Discovery and Experimentation in Number Theory,
    Fields Institute,
    Toronto, Ontario, CANADA, Sept. 2009
    [slides]

  • Smooth Solutions to the ABC equation,
    J. C. Lagarias,
    26th Journees Arithmetiques,
    Universite de St. Etienne,
    St. Etienne, FRANCE, July 2009
    [slides]

  • From Apollonian Circle Packings to Fibonacci Numbers,
    J. C. Lagarias,
    Erdos Memorial Lecture,
    AMS Regional Meeting, Univ. of Illinois,
    Urbana, IL, March 2009
    [slides]


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