About me

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.

Phd Synopsis

Algebraic elimination for modeling motion

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.

Scientific interests and Current Research

Algebraic Modeling, Graph Rigidity, Distance Geometry, Real Algebraic Geometry


On the maximal number of real embeddings of spatial minimally rigid graphs

with Ioannis.Z. Emiris, Jan Legerský, Elias Tsigaridas
Preprint. You can find the actual version in arxiv and HAL

Summary of the project and source code is available in Jan's webpage.


An Explicit Isometric Reduction of the Unit Sphere into an Arbitrarily Small Ball

with Vincent Borrelli, Roland Dennis, Francis Lazarus, Damien Rohmer, Boris Thibert

Published in Foundations of Computational Mathematics .

More information about this project can be found in HEVEA webpage.