From http://www.nsf.gov (1/14/2000)
NSF NSF Award Abstract - #9970957
Combinatorics on Partially Ordered Sets
Abstract
9970957
The investigator plans to continue her research in combinatorics on
partially ordered sets, expanding it further in the direction of
relations with algebra, topology, and geometry. The proposed work
emerges from the investigator's increased awareness of relations
between her work on the lattice of noncrossing partitions and
aspects of algebraic combinatorics. Using techniques of structural
and algebraic combinatorics, she considers two main lines of
investigation: determinants from combinatorial statistics on
partially ordered sets and topological aspects of partially ordered
sets.
This project is motivated by compelling evidence that the time is
propitious for seeking a suitable unification of a number of
significant independent problems. The investigator encountered
striking similarities among a number of results, proofs, and
conjectures obtained by a variety of researchers working in
different areas of mathematics -- low-dimensional topology,
geometry, mathematical physics, combinatorics. These constitute a
critical mass of deep and diverse problems, indicating that the
similarities are not mere coincidences. Thus, and overarching goal
is to make progress toward understanding the combinatorics
underlying these problems and the reasons for their similarity.
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NSF NSF Award Abstract - #9108749
Abstract
This project is concerned with research in algebraic combinatorics
and combinatorics motivated by theoretical computer science. The
principal investigator will consider problems pertaining to an
algebraic and topological investigation of partially ordered sets
of combinatorial objects, sorting of partially ordered sets, and
graph coloring in connection with distributed computing. This
research falls in the broad category of combinatorics, which is one
of the most active fields in today's mathematics. Combinatorics
represents a systematization of the very first of all mathematical
activities, counting. In its modern development, however,
combinatorics has gone beyond just counting to make use of a wide
variety of advanced mathematical techniques. The field has had an
explosive development in the past few decades because of its
importance in communications and information technology.
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NSF NSF Award Abstract - #8814875
Abstract
This project will support the Summer Conference on Combinatorics
and Computer Science to be held May 22-26, 1989 at George
Washington University. Its purpose is to bring together researchers
in mathematics and computer science and to provide a setting for
the exchange of ideas and for potential collaboration between these
two groups. A second objective is to foster an exchange of views on
teaching and curriculum issues confronting those who work in
combinatorics and computer science. The principal speakers are L.
Lovasz, R. Karp, and R. Stanley, who will present survey lectures
on the topics of graph theory, algebraic combinatorics, and
algorithms and complexity.
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NSF NSF Award Abstract - #8707539
Computational Aspects of Combinatorial Problems
Abstract
This is a research planning grant. The PI is preparing a proposal
dealing with computational aspects of combinatorial problems.
The PI has produced research results in the related mathematical
area of combinatorics and is expected to be successful in producing
research results in theoretical computer science.
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NSF NSF Award Abstract - #9155431
The Language of Patterns: An Interactive Exhibit of Modern Mathematics
NSF Org ESI
Latest Amendment Date April 27, 1992
Award Number 9155431
Award Instr. Continuing Grant
Prgm Manager Hyman H. Field
ESI DIV OF ELEM SECONDARY & INFORMAL SCI ED
EHR DIRECT FOR EDUCATION AND HUMAN RESOURCES
Start Date April 15, 1992
Expires September 30, 1995 (Estimated)
Expected Total Amt. $843,641 (Estimated)
Investigator Raylene Decatur
Peter Yancone
Rodica Simion
Sponsor Maryland Academy of Scs
601 Light Street
Baltimore, MD 212303812 410/685-2370
NSF Program 7259 INFORMAL SCIENCE EDUCATION
Fld Applictn 0101000 Curriculum Development
Abstract
Mathematics can be exciting. It can be fun. The modern world
surrounds us with examples of its beauty. Too often, however, these
examples go unnoticed or unexplored. This is one reason so few
young Americans think of mathematics as a potential career path:
they do not realize how much mathematics is a part of their lives,
or how much they use it -- often without knowing it| The Maryland
Science Center and the mathematics faculty of the George Washington
University have teamed up to create The Language of Patterns, a
mathematics exhibit that examines mathematics in modern life.
Through engaging interactive exhibit stations, The Language of
Patterns invites visitors of all ages to discover the intricacy and
wonder of modern mathematics. Eschewing highly technical
terminology, the exhibit focuses instead on fun and exploration.
Mounted by the Maryland Science Center in its Baltimore facility
and in a traveling version that will be available to science and
technology museums across the county, this exhibit represents a
unique collaboration between academic and museum exhibition design
experts. More important, The Language of Patterns is an opportunity
for visitors to rethink their relationship with modern mathematics,
one of man's most significant -- and misunderstood -- achievements.
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