Tia Baker
Papers
2
Total Citations
5
H-Index
2
About
Tia Baker is a mathematician whose work lies at the intersection of combinatorics, geometry, and robotics. Her primary research focuses on reconfigurable systems—such as robots moving on grids or particles traversing graphs without collision—and the geometric structures that govern their motion. Baker’s major contribution is the application of CAT(0) cubical complexes to robotics, demonstrating that when the space of possible configurations forms a CAT(0) space, the shortest path between any two positions can be explicitly and efficiently constructed. This insight provides a powerful combinatorial framework for path planning in multi-agent and modular robotic systems. Her foundational paper, “Moving Robots Efficiently Using the Combinatorics of CAT(0) Cubical Complexes” (2014), has garnered 3 citations, while an earlier version (2012) has 2 citations, reflecting the niche but growing interest in her geometric approach to motion planning. Baker’s work bridges pure mathematics and applied robotics, offering elegant solutions to complex coordination problems and laying the groundwork for future advances in automated reconfiguration and swarm robotics.
Research Focus
Key Achievements
Top Papers
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