9504134 Millson The proposed research lies in the interface of topology and geometry. Working on the classical problem of classifying linkages in space, the investigator has found connections to representation theory and algebraic geometry. To be more specific, the proposed research seeks to develop parallels between the singularities in the representation varieties of Coxeter groups and the singularities in the deformation spaces of linkages. A linkage in space can model a robot arm and other rigid structures with joints; a topological classification of possible linkages in space may turn out to have ramifications in control theory and robotics.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9504134
Program Officer
Christopher W. Stark
Project Start
Project End
Budget Start
1995-06-15
Budget End
1998-05-31
Support Year
Fiscal Year
1995
Total Cost
$90,000
Indirect Cost
Name
University of Maryland College Park
Department
Type
DUNS #
City
College Park
State
MD
Country
United States
Zip Code
20742