Elias Tsigaridas

Institut national de recherche en sciences et technologies du numérique, National Technical University of Athens, Sorbonne Université

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About

Elias Tsigaridas is a leading researcher at the intersection of computational algebra, geometry, and robotics. His work centers on developing algebraic and geometric methods to solve complex problems in rigidity theory, robot kinematics, and polynomial system solving. A major contribution is his development of mixed volume and distance geometry techniques to count Euclidean embeddings of rigid graphs, a fundamental problem with applications from molecular conformation to sensor networks. His 2012 paper on this topic (15 citations) and related 2010 work (7 citations) have become key references in the field. Tsigaridas has also advanced robotics by addressing calibration challenges for parallel robots, notably eliminating pose-dependent parameters in his 2006 work (8 citations). More recently, his research on Gröbner bases over semigroup algebras (2019, 6 citations) tackles the intrinsic complexity of algorithmic non-linear algebra, offering new pathways for solving polynomial systems that arise in real-world applications. His work consistently bridges deep theoretical insights with practical computational tools, making him a valuable resource for students and researchers in symbolic computation, geometric modeling, and robotics.