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 currently a member of the ΕρΓΑ Lab.
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
Published in Discrete & Computational Geometry .
Published in Applicable Algebra in Engineering, Communication and Computing (AAECC).
Source code available in zenodo .
Published in Journal of Symbolic Computation (J.S.C.).
Appears in the proceedings of CASC 2021 .
This presentation included results that generalize the use of graph orientations to compute the multihomogeneous bound of polynomial systems modeled by simple graphs.
This presentation included results on the multi-homogeneous Bézout bounds for the embeddings of minimally rigid graphs and a conjecture on the degree of their determinantal varieties.
This presentation included results on the computation of the multi-homogeneous Bézout bound for the embeddings of minimally rigid graphs and its exactness.
The results of this work constitute a subset of our publication in J.S.C. .
This presentation is based on our article in J.S.C. and Lower Bounds on the Number of Realizations of Rigid Graphs by G.Grasegger, C.Koutschan & E.Tsigaridas.
ARCADES training included a variety of events (doctoral shools, industrial and software workshops and other activities).
An overview of these events can be found here here .
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