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.

Our lab is part of AROMATH , a joint team affiliated with INRIA Sophia-Antipolis.

We are also affiliated with ATHENA Research Center . My Phd is part of Arcades, a Marie Skłodowska-Curie Innovative Training Network. Here you can find my Orchid ID .

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

with Ioannis.Z. Emiris, Raimundas Vidunas

Published in Discrete & Computational Geometry .

2020

with Ioannis.Z. Emiris, Josef Schicho

Published in Applicable Algebra in Engineering, Communication and Computing (AAECC).

Source code available in zenodo .

2020

with Ioannis.Z. Emiris, Jan Legerský, Elias Tsigaridas

Published in Journal of Symbolic Computation (J.S.C.).

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

2019

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.

2017

with Ioannis.Z. Emiris, Charalambos Tzamos

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.

Sochi, Russia, 2021

part of a joint project with I.Z.Emiris and J.Schicho

French Computational Geometry Days /Journées de Géométrie Algorithmique .

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.

Marseille, 2020

part of a joint project with I.Z.Emiris and J.Schicho

Geometric constraint systems: rigidity, flexibility and applications ( slides ).

This presentation included results on the computation of the multi-homogeneous Bézout bound for the embeddings of minimally rigid graphs and its exactness.

Lancaster, 2019

with Ioannis.Z. Emiris, Jan Legerský, Elias Tsigaridas

Appears in the proceedings of ISSAC 2018 (see also the slides the presentation).

The results of this work constitute a subset of our publication in J.S.C. .

New York, 2018

with G.Grasegger and J.Legerský

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.

Lancaster, 2018

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 .

2016 - 2019

Intership in the context of Master2 Mathématique Avancées in ENS Lyon.

Supervisor: Vincent Borrelli. .

Member of HEVEA team at that time.

2014

Supervisor: David Holcman .

Member of Group of Applied Mathematics and Computational biology at that time.

2015

ARCADES Network publications

ISSAC Conference

DIMACS Workshop on Distance Geometry

Images des Mathématiques

Quanta Magazine

National Archaeological Museum