My name is Evangelos Bartzos and I am a Phd student at the Department of Telecomuncations and Informatics in University of Athens under the supervision of Prof. Ioannis Z. Emiris, since 2016. I am now a member of the ΕρΓΑ Lab .My Phd is part of Arcades Network.
The applications of algebraic elimination theory in modeling motion are the basis of this Ph.D. project. Algebraic systems have been widely used in modeling motion. For example, in robot kinematics we can model the workspace of mechanisms and find solutions to the forward and inverse kinematic problems. Sparse elimination theory provides very strong mathematical tools that can be used in algebraic problem solving and in studying such systems. Methods derived from discrete geometry, including Newton polytope, Minkowski sum, and mixed volume, are essential in this field.
Algebraic Modeling, Graph Rigidity, Distance Geometry, Real Algebraic Geometry
Accepted for ISSAC 2018 .
Summary of the project and source code is available in Jan's webpage.
Supervisor: David Holcman .
Member of Group of Applied Mathematics and Computational biology at that time.
National and Kapodistrian University of Athens
Dept. of Informatics and Telecommunications
Panepistimiopolis, Ilisia 15784, Greece.
vbartzos [at] di.uoa.gr