Mathematics in Nanoscale Science and Engineering
IPAM Fall 2002
September 16 - December 13, 2002
(Department of Mathematics, UCLA)
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Senior Core Participants
Other Senior Participants Coming for an Extended Period
(University of Kentucky)
The long-term program will involve a community of senior and junior researchers. The intent is for long-term participants to have an opportunity to learn about nanoscale systems from the perspectives of many different fields--mathematics, science and engineering--and to meet a diverse group of people and have an opportunity to form new collaborations. In addition to these activities, there will be opening tutorials, four workshops, and a culminating workshop at Lake Arrowhead.
Full and partial support for long-term participants is available, and those interested are encouraged to fill out an online application at the bottom of this page. Support for individual workshops is also available, and may be applied for through the online application for each workshop. We are especially interested in applicants who are interested in becoming core participants and participating in the entire program (September 16 - December 13, 2002), but give due consideration to applications for shorter periods. Funding for participants is available at all academic levels, though recent PhD's, graduate students, and researchers in the early stages of their career are especially encouraged to apply.
Encouraging the careers of women and minority mathematicians and scientists is an important component of IPAM's mission and we welcome their applications.
There will be an active program of research activities, seminars and workshops throughout the September 16-December 13 period. The program will open with tutorials, and will be punctuated by 4 major workshops and a culminating workshop at UCLA’s Lake Arrowhead Conference Center. Several distinguished senior researchers will be in residence for the entire period. Between the workshops there will be a program of activities involving the long-term and short-term participants, as well as visitors. These activities will include:
An online application for funding to be a long-term participant is available at the bottom of this webpage.
Systems at the nanoscale are distinguished by both their material structures and their physics. The nanoscale is the intermediate length scale between systems of a few atoms and continuum systems. Nanoscale systems involve a number of atoms that is large enough so that a direct description of every atom is quite complex, but small enough that a continuum description is not valid. Second, the nanoscale is the scale at which quantum physics and classical physics intersect. Because of these characteristics, nanosystems are very complex and their descriptions are data-intensive. In addition, many degrees of freedom of nanosystems are difficult to observe and manipulate experimentally. For these reasons, mathematical and computational methods are expected to play a major role in nanoscience and nanoengineering. Mathematics and computation can provide effective theory and simulations for analysis and interpretation of experimental results, model-based prediction of nanoscale phenomena, and design and control of nanoscale systems. Computational methods, such as density functional theory (DFT) and kinetic Monte Carlo (KMC), have already had major success in nanoscience, and there are still many opportunities for further involvement of mathematics and computation in nanoscience. Exploiting these opportunities will require collaboration between mathematical scientists and nanosystems researchers. Research at the nanoscale is naturally multi-disciplinary. Material sciences, life sciences and system sciences are all intimately involved in many of the current thrusts in nanoscale science. Mathematics also plays an important role in the interaction of these different disciplines, since they all use data, simulation and visualization. The new National Nanotechnology Initiative has highlighted the importance of nanoscale science and technology. This initiative is directed at accelerating the pace of research on the nanoscale in order to support its applications to electronics, medicine, and other fields. This initiative has spawned major new programs, such as the Nanoscale Science and Engineering Initiative at NSF and programs on spintronics, quantum computing and bio-computing at DARPA.
Program Period September 16, 2002 – December 13, 2002
Orientation Session: Monday, September 16, 2002
September 30 - October 3, 2002
October 21 - 23, 2002
November 4 - 6, 2002
November 15-16, 2002 at Caltech
November 19 – 22, 2002
December 8-13, 2002
This conference will take place at the UCLA Lake Arrowhead Conference Center and will be the concluding workshop for the program. It will recap the results from the preceding topical workshops and formulate strategies for continuing involvement of mathematicians in nanosystem research. This conference will be by invitation only as space is limited.
2003 and 2004
For each IPAM semester long program there will be one-week long reunion conferences in each of the following two years.
Institute for Pure and Applied Mathematics (IPAM)