Gaiane Panina

St. Petersburg Institute for Informatics and Automation, St Petersburg University

Papers

Total Citations

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About

Gaiane Panina is a distinguished researcher whose work bridges the frontiers of swarm robotics and geometric topology. Her key research areas include robotic motion planning, spatial reconfiguration, and the geometry of polygonal linkages. Panina’s most impactful contribution is her 2016 paper, "Convex Shape Generation by Robotic Swarm," which has garnered 9 citations and addresses a fundamental challenge in swarm robotics: enabling a group of identical robots to form a predetermined spatial shape through collision-free motion planning. This work provides critical insights into decentralized control and spatial coordination. Additionally, her 2012 study, "Critical configurations of planar robot arms" (5 citations), extends classical results on cyclic polygons, offering a novel formula for the Morse index of closed polygonal chains. By connecting the geometry of inscribed polygons to the dynamics of robotic arms, Panina has advanced both theoretical understanding and practical applications in robotics. Her research is notable for its interdisciplinary approach, merging pure mathematics with engineering challenges, and continues to inspire students and researchers exploring the intersection of geometry, topology, and autonomous systems.