Serge Tabachnikov

Papers

Total Citations

117

H-Index

About

Serge Tabachnikov is a mathematician whose research spans geometry, topology, and mathematical physics, with particular expertise in projective geometry, billiard dynamics, and topological approaches to real-world problems. He is perhaps best known for his contributions to the field of topological robotics, where he has helped lay foundational groundwork for understanding motion planning problems through a geometric lens. His collaborative work on motion planning in projective spaces — co-authored with Michael Farber and Sergey Yuzvinsky — has garnered significant attention, accumulating over 100 citations and demonstrating how abstract topology can illuminate practical algorithmic challenges in robotics, such as efficiently rotating a mechanical arm between positions. This research helped establish topological complexity as a meaningful invariant in the study of configuration spaces. Beyond robotics applications, Tabachnikov has made lasting contributions to the theory of mathematical billiards and projective differential geometry, and he is widely respected as an expositor of mathematics, having authored accessible yet rigorous texts that bridge research-level ideas and broader mathematical audiences. His work exemplifies how pure mathematical thinking can yield deep insights across disciplines, making him an influential figure for students and researchers in geometry and applied topology alike.