Jane Gilman

Rutgers, The State University of New Jersey

Papers

Total Citations

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About

Jane Gilman is a mathematician whose work bridges pure topology and practical robotics, most notably through her pioneering research on configuration spaces and braid groups on graphs. Her 2001 paper, "Configuration spaces and braid groups on graphs in robotics," with 53 citations, has become a foundational reference for understanding how robots navigate complex, networked environments. Gilman’s major contribution lies in applying algebraic topology—specifically, the study of braid groups—to model the motion planning of multiple robots moving along graph-like structures, such as warehouse grids or factory floors. This work provides a rigorous mathematical framework for collision-free path planning, directly impacting the design of autonomous systems. Beyond this, her research has influenced fields ranging from computational geometry to cooperative robotics. Gilman’s ability to translate abstract topological concepts into actionable algorithms has made her a key figure in the growing intersection of mathematics and engineering. Her work continues to inspire students and researchers exploring how fundamental geometry can solve real-world coordination problems.