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IMA Thematic Year on
Mathematical Methods in Materials Scienc
September 1, 1995 - June 30, 1996

Organizers:
Name                        Present Institution

Richard James(Chair)        University of Minnesota 
Graeme Milton               University of Utah 
Jerry Moloney               University of Arizona
Stuart Whittington          University of Toronto

The rapid advances in material sciences within the last 30 years opens the possibility of understanding general principles and relationships linking macroscopic properties to corresponding molecular and atomic processes. However, future progress is hampered by expensive and time-consuming experiments and by the enormous complexity of phenomena. Huge improvements in the ability to measure the properties of materials has led to much improved characterization of materials. This precision of measurement has not yet been matched by corresponding improvements in mathematical theory, which could guide the development and optimization of materials on topics such as phase transitions and microstructure, molecular theory of materials, disordered materials, etc.

New mathematical ideas may help in improving modeling of materials, in deriving innovative and efficient numerical methods, and in developing approximate models which are amenable to mathematical analysis. The goal of the year in "Mathematical Methods in Materials Science" is to bring together materials scientists and mathematicians to talk to each other, to transfer problems, ideas and methods from one community to another, so as to enhance further progress in the understanding of materials. We also hope that the program will have an impact upon the career path of the postdoctorates, thereby strengthening future links between mathematicians and materials scientists. The year program will focus on topics such as phase transitions, optimal materials, the passage from atomistic to continuum theory, disordered materials, materials for nonlinear optics, and polymers. The mathematical disciplines involved in the program will include partial differential equations, numerical analysis, homogenization and stochastic techniques, and geometric and topological methods for polymers.


Fall Quarter, September 5 - December 24, 1995:
Phase Transitions, Optimal Microstructures and Disordered Materials

Winter Quarter, January 2 - March 31, 1996:
Thin Films, Particulate Flows, and Nonlinear Optical Materials

Spring Quarter, April 1 - June 30, 1996:
Numerical Methods and Topological/Geometric Properties in Polymers


Winter 1996

Thin Films, Particulate Flows & Nonlinear
Materials

Confirmed Long-Term Visitors:

Name                     Present Institution

     
Douglas Arnold           Pennsylvania State Univeristy
John Ball                Heriot-Watt University 
Oscar Bruno              Caltech               
Maria Carme Calderer     Pennsylvania State University
Dan Dahlberg		 University of Minnesota
Donald Drew              Rensselaer Polytechnic Institute
Eugene C. Gartland,Jr.	 Kent State University
Richard James	         University of Minnesota
Hyejin Ku      		 Seoul National University
Perry Leo    		 University of Minnesota
Walter Littman	         University of Minnesota
Mitchell Luskin 	 University of Minnesota
Chi-Sing Man	         University of Kentucky
Wei-Ming Ni              University of Minnesota
Peter Olver	         University of Minnesota
Bruce Pitman             SUNY-Buffalo
Fernando Reitich         North Carolina State University
Alain Sei                Caltech
Quan Shen                Pennsylvania State University
Scott Spector            Southern Illinois University
John Sullivan            University of Minnesota
De Witt Sumners          Florida State University
Vladimir Sverak          University of Minnesota
Stuart Whittington       University of Toronto
Stephen Willson          Iowa State University




  • Workshop 5: Particulate Flows: Processing and Rheology, January 8-12, 1996

  • Workshop 6 : Modeling of Film Growth and Deposition Processes-Evolution of Film Microstructure and Morphology, January 24-26, 1995

  • Workshop 7 : Optimization and Control for Materials Processing Applications: Simulations, Models, and Strategies, February 1-3, 1996

  • Workshop 8: Interface and Thin Films, February 5-9, 1996

  • Period of Concentration: Light Propagation in Optical Wave Guiding Material, February15-March 15, 1996

  • Tutorial: Nonlinear Optical Material , February 28-March 1, 1996

  • Workshop 9: Nonlinear Optical Materials, March 4-8, 1996

  • Workshop 10: Topics Related to Nonlinear PDE , March 25-29, 1996


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    Spring 1996

    Numerical Methods and Topological/Geometric Properties in Polymers

    Confirmed Long-Term Visitors:

    Name                     Present Institution
    
    Marco M.Avellaneda       Courant Institute-NYU          
    Douglas Arnold           Pennsylvania State Univeristy
    Mik Bickis               University of Saskatchewan
    Maria Carme Calderer     Pennsylvania State University
    Dan Dahlberg		 University of Minnesota
    Richard James            University of Minnesota
    Robert Kusner            University of Massachusetts
    Perry Leo   	         University of Minnesota
    Walter Littman		 University of Minnesota
    Mitchell Luskin 	 University of Minnesota  
    Chi-Sing Man	         University of Kentucky
    Wei-Ming Ni              University of Minnesota
    Peter Olver              University of Minnesota
    Enzo Orlandini           Oxford University
    Steve Quake              Stanford University
    Michael Shelley          Courant Institute-NYU
    Quan Shen                Pennsylvania State University
    Jonathan K. Simon        University of Iowa 
    Jey Sivaloganathan       University of Bath-UK     
    Christine Soteros        University of Saskatchewan
    Atillio Stella           Univeristy of Padova 
    John Sullivan            University of Minnesota
    De Witt Sumners          Florida State University
    Vladimir Sverak          University of Minnesota
    Maria Carla Tesi         Oxford Univeristy
    Buks van Rensburg        York University
    Stuart Whittington       University of Toronto
    Stephen J. Willson       Iowa State University
    Giovanni Zanzotto        CNR-University of Padova
        
    


  • Tutorial: Monte Carlo Methods, May 8-10, 1996

  • Workshop 11: Numerical Methods for Polymeric Systems , May13-17,1996

  • Tutorial: Topology and Statistical Mechanics of Polymers, June3-6,1996

  • Workshop 12: Topology and Geometry in Polymer Science, June 10-14, 1996


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    To: SUMMER SCHOOL IN HARMONICS ANALYSIS:
    June 10 - July 5, 1996

    To: EMERGING APPLICATIONS OF NUMBER THEORY:
    July 1996

    To: MATHEMATICS OF HIGH PERFORMANCE COMPUTING:
    September 1996 - June 1997


    To: MATHEMATICAL MODELING FOR INSTRUCTORS AND GRADUATE STUDENTS:
    July 29 - August 16, 1996

    To: EMERGING APPLICATIONS OF DYNAMICAL SYSTEMS:
    September 1997 - June 1998

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