Xiao-Song Lin
Papers
1
Total Citations
53
H-Index
1
About
Xiao-Song Lin is a mathematician whose work bridges topology, robotics, and theoretical computer science. His research centers on configuration spaces, braid groups, and their applications to motion planning and robotics. Lin’s most cited paper, "Configuration spaces and braid groups on graphs in robotics" (2001, 53 citations), is a foundational contribution that applies algebraic topology to solve practical problems in robot path planning. By modeling the movement of multiple robots on a graph as points in a configuration space, Lin showed how braid groups—traditionally studied in pure mathematics—can characterize the complexity of collision-free motion. This work has influenced both theoretical topology and algorithmic robotics, providing a rigorous framework for understanding the topological obstacles to coordinated movement. Lin’s research exemplifies how abstract mathematical structures can yield concrete insights into engineering challenges, making him a key figure in the growing field of topological robotics. His contributions continue to inspire researchers seeking to unify geometry, algebra, and computation.
Research Focus
Key Achievements
Top Papers
- 1Configuration spaces and braid groups on graphs in robotics53 citations · 2001