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Friday, May 16, 2008
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To begin the coordination of activities for the coming five year period, it is proposed that a Scientific Committee for the Programmatic Area of Mathematics: Analysis, Modeling, Optimization and Simulation be formed. The committee would consist of Efraim Armendariz, Luis Caffarelli, Bjorn Engquist, Irene Gamba, Omar Ghattas, (liaison to other Portugal-U.S. programs), Keshav Pingali (liaison to the Advanced Programmatic Area). Portuguese mathematicians include Rui Loja Fernandes (ISTUTL), Diogo Gomes (ISTUTL), Luísa Mascarenhas ( FCTUNL), Manuel Margues (FCUL), José Francisco Rodrigues (FCUL), Luis Nunes Vicente (UC) as well as Luís Trabucho (UCUL), Jose Miguel Urbano (UC), and Jean Claude Zambrini (FCUL). The joint Scientific Committee will work towards the development of interactions in research areas of common interest, the formal establishment of a joint training program for graduate students and postdoctoral associates involving senior faculty, and the pursuit of funding opportunities.

The core already exists in UT-Austin’s Department of Mathematics that will contributing the available human resources to coordinate and develop a program that will bring together the already existing centers including those with greater emphasis on the applied/applicable side. The modeling component by Mathematics Department members includes Irene Gamba, Oscar Gonzalez, and Thaleia Zariphopoulou. Faculty members involved in scientific computation include Todd Arbogast, Bjorn Engquist, Felipe Voloch, Richard Tsai and Lexing Ying. Faculty members William Beckner, Luis Caffarelli, Takis Souganidis, Mikhail Vishik, and Rafael de la Llave represent analysis with applications involving nonlinear phenomena.

The Mathematics Department maintains an extensive advanced curriculum, including about fifty graduate courses a year, the mentoring of one hundred Ph D students who graduate at a rate of eighteen a year, and about eighteen postdoctoral fellows that come to UT-Austin for a three year period.

As a starting point to develop joint areas of interest we suggest a series of workshops to find common areas of interest and shared expertise. The workshops will bring together senior and junior scientists, emphasize current research and will provide prospective graduate students with a perspective of the opportunities and activities afforded by the exchange program as well as putting them in contact with prospective advisors.

The workshops will focus on emphasizing the development and application of areas of mathematics in which there has been increasing usage in science, engineering, finance and economics. An example of the type of workshop is in the area of nonlinear differential equations and simulation. This workshop would bring together interacting groups from the different divisions of participating institutions with a common interest in the mathematical sciences.

An important component of the workshops consists of incorporating the expertise present in mathematics as well as other disciplines; the Mathematics Department has strong working relationships with members of other Schools/Departments, such as Physics, Chemistry, Biology, Engineering, Economics, MSIS and Finance. These ties will augment and enhance the quality and content of workshops. Given the already existing interest in these subjects for a larger mathematical input, the cooperation basis will enlarge considerably, especially if there is an organized and coordinated effort through the auspices of ICES.

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