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About

Jose Capco is a mathematician and roboticist whose research sits at the intersection of algebraic geometry, kinematics, and singularity theory. His most influential work provides a necessary and sufficient condition for a generic 3R serial manipulator to be cuspidal (12 citations), a fundamental result that helps roboticists understand when a robot can change its posture without crossing a singularity. Capco has also made significant contributions to the analysis of parametric polynomial systems, developing connectivity queries that enable more robust motion planning for complex robotic architectures. His geometric analysis of 3R serial robots (5 citations) and his topological study of 3-RPR planar parallel robots (3 citations) have deepened the theoretical understanding of singularity-free path existence, proving, for instance, that no such path exists between non-symmetrical direct kinematics solutions for certain parallel robots. Beyond these core contributions, Capco has worked on inverse kinematics algorithms for general 6R/P manipulators and on plug-and-produce frameworks for customizable, co-worker robots. His work is essential reading for anyone studying the mathematical foundations of robot motion and singularity avoidance.