Scientific Organisers
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Simon Cox, Aberystwyth University
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Frank Morgan, Williams College
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John Sullivan, Technische Universitat Berlin
About:
The workshop brought together experts in geometric measure theory, numerical computation, foam structure and applications to make progress finding and proving the optimum area-minimiding cellular structures. A blog on the topic can be found here and another article can be found here.
Photographs from the workshop are available here.
Speakers and their talk titles
Rafi Blumenfeld, Imperial College London & Cambridge University - Quadron Tessellation, Structural Quantification and Statistical Mechanics of Granular and Cellular Structures
Antonio Cañete, Universidad de Sevilla - The Isoperimetric Problem in R^n for Homogeneous Densities
Simon Cox, Aberystwyth University - Enumeration of Candidates to the Minimal Free Cluster in 2D
Edwin Flikkema, Aberystwyth University - From Clusters of Particles to 2D Bubble Clusters
Ruggero Gabbrielli, Princeton University - Ideas for an Extension to the Frank-Kasper Phases
Raymond Goldstein, University of Cambridge - A Soap-Film Mobius Strip Changes Topology with a Twist Singularity
Thomas Hales, University of Pittsburgh - Computer Assisted Proofs and the Kelvin Problem
Aladar Heppes, Alfred Renyi Institute of Mathematics - Densest Packing of Translates of Strings
Sascha Hilgenfeldt, University of Illinois - Order and Disorder in Tissues and Tilings
Miyuki Koiso, Institute of Mathematics for Industry - Bifurcation and Stability for Solutions of Isoperimetric Problems
Andrew Kraynik, University of Erlangen-Nuremberg - Structure of Random Polydisperse Soap Froth
Gary Lawlor, Brigham Young University - New Proofs for Double and Triple Bubbles
Emanuel Lazar, Princeton University - The "Shapes" of Some Three-Dimensional Space Filling Patters
Adil Mughal, Aberystwyth University - Phyllotactic Description of Hard Sphere Packing in Cylindrical Channels
Stefano Nardulli, Universidade Federal do Rio de Janeiro - Isoperimetry in Non-Compact Riemannian Manifolds
Robert Nemeth, Budapest University of Technology and Economics - Pattern Formation of Lotus Receptacles
Robert Nurnberg, Imperial College London - Parametric Approximation of Surface Clusters Driven by Isotropic and Anisotropic Surface Energies
Aldo Pratelli, University of Pavia - Recent Existence Results for the Isoperimetric Problem in R^N with Density
Sepehr Ravati, Ecole Polytechnique de Montreal - Polymer Droplet Clusters
Manuel Ritoré, Universidad de Granada - Geometric Inequalities and Soap Bubbles
John Sullivan, Technische Universitat Berlin - Foams with Small Faces
Paul Sutcliffe, University of Durham - Domain Walls and Double Bubbles
Denis Weaire, Trinity College Dublin - Me and Kelvin: How Bubbles Brought Me to Beijing