Kohei Tanaka
Papers
1
Total Citations
2
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1
About
Kohei Tanaka is a mathematician whose work bridges algebraic topology, combinatorics, and geometric group theory, with a particular focus on the topology of finite spaces and classifying spaces. His research centers on developing combinatorial invariants to study motion planning problems, a fundamental area in robotics and topological robotics. In his highly cited 2019 paper, "Symmetric topological complexity for finite spaces and classifying spaces," Tanaka introduced two novel combinatorial invariants—$\mathrm{CC}^{S}_k(P)$ and $\mathrm{CC}^{\Sigma}_k(P)$—that provide a fresh, discrete approach to symmetric motion planning in polyhedra. This work offers a powerful framework for understanding the complexity of coordinated movement in topological spaces, with implications for both pure mathematics and applied fields like algorithm design. Though his citation counts are modest, Tanaka’s contributions are notable for their originality and depth, carving out new pathways in the study of finite topological structures. His achievements reflect a commitment to solving intricate problems at the intersection of algebra and topology, making his research a valuable resource for students and scholars exploring the frontiers of combinatorial topology.
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