Papers
2
Total Citations
12
H-Index
2
About
Boris Goldfarb is a researcher at the intersection of topology and robotics, specializing in the application of discrete mathematical structures to motion planning and autonomous navigation. His work centers on using algebraic topology and computational geometry to solve complex pathfinding problems in high-dimensional configuration spaces. Goldfarb’s most cited paper, “A New Application of Discrete Morse Theory to Optimizing Safe Motion Planning Paths” (2022, 7 citations), introduces a novel framework that leverages discrete Morse theory to simplify the search for collision-free trajectories, significantly reducing computational overhead while maintaining safety guarantees. In a closely related contribution, “Incremental Path Planning Algorithm via Topological Mapping with Metric Gluing” (2022, 5 citations), he presents an innovative incremental planner that constructs Vietoris-Rips simplicial complexes from voxelized subspaces, performing metric gluing to capture both topological and geometric information in batches. This approach enables real-time adaptation to dynamic environments, a critical advancement for autonomous systems operating in unstructured settings. Goldfarb’s work bridges pure mathematics and practical engineering, offering scalable solutions for robotics, and his growing citation record reflects the increasing relevance of topology-driven methods in modern AI and control systems.
Research Focus
Key Achievements
Top Papers
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