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