Kelley Jeanne Pearson

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About

Kelley Jeanne Pearson is a mathematician whose work bridges topology and robotics, focusing on the topological complexity of configuration spaces and motion planning algorithms. Her research explores how algebraic topology can quantify the inherent difficulty of continuous motion planning, particularly in real Grassmannians—spaces of linear subspaces that arise in problems from robotics to data analysis. In her most-cited paper, "Topological complexity and motion planning in certain real grassmannians" (2004), Pearson applies Michael Farber’s topological complexity theory to these spaces, providing explicit lower bounds and constructing optimal motion planners. This work contributes to understanding how the geometry of a space constrains the number of continuous motion planning rules needed, with implications for autonomous systems and sensor networks. While her citation count is modest, Pearson’s contributions are valued for their clarity and technical depth, offering foundational insights into the topology of real Grassmannians. Her research exemplifies how pure mathematics can inform practical challenges in robotics and control theory, making her a notable figure in the intersection of topology and applied geometry.