- Computational Geometry algorithms for geometric problems such as:
- Rigidity, flexibility and motion for geometrically constrained structures, such as linkages (or frameworks) appearing in mechanics, robotics, CAD and molecular modeling.
- Motion planning for robot arms
- Applications in:
- Computational Biology: computational methods for flexibility analysis and motion generation in molecules (in particular, proteins).
Research currently supported by NSF CCF-1016988, CCF-0728783, DMS-0714934, and DARPA 23 Mathematical Challenges.
Previous support from NSF CCF-0430990 and NSF-DARPA CARGO CCR-0310661.