and its high standards, the Faculty <strong>of</strong> Mathematics consistently attracts the best students from around the world. Waterloo has placed among the top ten schools eleven times in the past thirteen years in the Association for Computing Machinery (ACM) International Programming Competition. It has been the world champion twice (1994, 1999) and North American champion six times during that period. As well, the <strong>University</strong> has placed in the top ten in the Putnam Competition fifteen times in the past sixteen years, placing first in 1999 and fourth in the most recent competition. Waterloo routinely ranks among the top three or four schools in terms <strong>of</strong> the number <strong>of</strong> students who place in the top two hundred in that competition. For thirteen years in a row, a group <strong>of</strong> more than three thousand senior administrators, company presidents, and academic counsellors surveyed by Maclean’s Magazine judged the <strong>University</strong> <strong>of</strong> Waterloo to be the “Best Overall” university in Canada. <strong>University</strong> <strong>of</strong> Western Ontario Activity in Mathematics and its applications at the <strong>University</strong> <strong>of</strong> Western Ontario is focused within the four Mathematical Science departments. There is growing collaboration between the departments, and links with all other sectors <strong>of</strong> the <strong>University</strong>. There is substantial interaction with and support from the private sector. The Department <strong>of</strong> Applied Mathematics is one <strong>of</strong> only two in the country. The department is research intensive: areas <strong>of</strong> study include mathematical biology, medical science, financial mathematics, materials modelling and nanotechnology, atomic and high-energy physics, fluid dynamics, engineering science, environmetrics, cryptography and high performance computing using Beowulf clusters. The department participates in the Ontario Research Centre for Computer Algebra, and in the Imperial Oil Centre for Mathematics Education. Members <strong>of</strong> the department are at the forefront <strong>of</strong> a recently awarded multi-faculty, multiuniversity CFI grant for high performance computation. The Department <strong>of</strong> Computer Science <strong>of</strong>fers degrees at all levels in computer science, as well as degrees with specialization in s<strong>of</strong>tware engineering. Research activities are grouped under the themes <strong>of</strong> Artificial Intelligence and Logic Programming, Graphics and Imaging, S<strong>of</strong>tware and Systems, Symbolic Mathematical Computation, and Theory <strong>of</strong> Computing, and include projects in cognitive science and machine vision, image compression, management <strong>of</strong> distributed systems, symbolic-numeric algorithms for polynomials, architectures for mathematical communica- G o v e r n a n c e tion (MathML and OpenMath), programming languages, databases, molecular computing and bioinformatics, and automata theory and formal languages. The department hosts the Ontario Research Centre for Computer Algebra. Major research projects are funded by international, federal, provincial and private sector sources. Research and teaching in the Department <strong>of</strong> Mathematics is traditionally concentrated in the area <strong>of</strong> “pure” Mathematics. The department <strong>of</strong>fers programs at all undergraduate and graduate levels <strong>of</strong> instruction. Its research team is well known: faculty members have active research programs in homotopy theory, algebraic groups, algebraic K-theory, algebraic combinatorics, invariant theory, number theory, combinatorial algebra, noncommutative geometry, harmonic analysis, complex analysis and complex geometry, mathematical physics, and quantization. The Department <strong>of</strong> Statistical and Actuarial Sciences is active generally in data analysis and stochastic modelling. Data analytic methods include use <strong>of</strong> visualization in statistical analysis and the planning, design and analysis <strong>of</strong> data from a variety <strong>of</strong> types and sources, including the analysis <strong>of</strong> massive datasets as in fMRI and ultrasound imaging. Stochastic modelling includes queueing theory, risk theory, mathematical finance, actuarial models for nontraditional insurance products, utilization <strong>of</strong> health care resources, environmental impact assessment, reliability and quality control. The department runs a statistical laboratory (STATLAB) that carries out contract consulting research. York <strong>University</strong> The Department <strong>of</strong> Mathematics and Statistics at York <strong>University</strong> is home to a diverse group <strong>of</strong> scholars, including two Canada Research Chairs. Faculty members are active in research and publication in virtually all the major fields <strong>of</strong> mathematics and statistics. In particular, York has significant representation in several general areas including foundations <strong>of</strong> mathematics, probability and stochastic processes, analysis (differential equations and dynamics), mathematical modelling and numerical analysis, algebra, geometry, financial mathematics, and statistics. The quality <strong>of</strong> scholarly work produced by members <strong>of</strong> the department is attested to by its external grant support and recognition. The department has consistently been a major recipient <strong>of</strong> NSERC research grants in mathematics and statistics. Three faculty members recently received CFI funding for a parallel computing facility for the mathematical and statistical analysis <strong>of</strong> complex systems, large data sets, and performance analysis. In addition, a number <strong>of</strong> York faculty <strong>Fields</strong> <strong>Institute</strong> <strong>2005</strong> ANNUAL REPORT 132
and graduate students are involved in the National Centre <strong>of</strong> Excellence project entitled “The Mathematics <strong>of</strong> Information Technology and Complex Systems” (MITACS). The department is equally proud <strong>of</strong> its thriving graduate program. In addition to the regular MA and PhD degree programs, the department <strong>of</strong>fers a long-standing MA Program for Teachers, which is designed to enhance the breadth <strong>of</strong> knowledge <strong>of</strong> high school mathematics teachers and their effectiveness in the classroom. An MSc program in Industrial and Applied Mathematics was begun in 2002. The department also <strong>of</strong>fers a Graduate Diploma in Financial Engineering, in collaboration with the Schulich School <strong>of</strong> Business. This diploma program provides the training in finance, mathematics, and computer science which is necessary to understand, design and value new financial instruments. York also has active mathematical sciences researchers in many other departments, including Computer Science and Engineering, Analytic Studies and Information Technology, Schulich School <strong>of</strong> Business, Administrative Studies, and Biology. G o v e r n a n c e <strong>Fields</strong> <strong>Institute</strong> <strong>2005</strong> ANNUAL REPORT 133
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Fields Institute 2005 ANNUAL REPORT
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Institute Profile 2 Message from th
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departments in universities and col
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major fund-raising campaign that wo
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postdoctoral fellows, the institute
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Achim Kempf of the University of Wa
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THE NATIONAL PROGRAM ON COMPLEX DAT
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Career: Some Remarks. On August 7,
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Jeremy Quastel and Tom Salisbury Ne
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S. Mitchell (UBC) An asymptotic fra
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