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Job posted by Johannes Kepler University Linz (20/01/2016 16.01)

Science4Refugees Marie Curie Actions funded job vacancy PhD position within European Network ARCADES: Algebraic Representations in Computer-Aided Design for complex shapes

Please note that the job is no longer active!

We are pleased to announce an open PhD position within the European Network ARCADES: Algebraic Representations in Computer-Aided Design for
complEx Shapes ( at the Research Institute of Symbolic Computation (RISC) of the Johannes Kepler University of Linz.

ARCADES is a Marie Sklodowska-Curie Innovative Training Network in the framework of Horizon 2020, starting on January 1st, 2016, and lasts for 4 years. It includes 8 sites offering 13 PhD's, 5 industrial partners, and is coordinated by ATHENA Research & Innovation Center, Greece.


An essential idea of Computer-Aided Design is the use of control structures, for instance control points. The designer adapts/optimises a shape by adjusting elements of the control structure, which defines the shape that is
then calculated in real time by algebraic algorithms. The ituation is more complicated when we deal with movable linkages (kinematic chains). When a motion for performing a certain task is designed, one often also has
a numerical function in the middle, namely the forward kinematics or the backward kinematics (depending on the type of the control of the kinematic chain), bridging the control structure adapted by the designer and the constraints resulting from the model such as the necessity to avoid collisions.
In this project, we aim for an algebraic framework with algebraic interpolation algorithms for computing motions directly from a control structure. The underlying idea is the theory of motion polynomials, which have coefficients in the dual quaternions that parameterise all motions that can be rationally parameterised. Up to now, collision problems have hardly been considered with dual quaternions, so that a main challenge of this project will be the algebraic treatment of collisions.

Eligible Candidates should:
* Have a Master's degree in Mathematics (or an equivalent diploma allowing them to pursue a PhD).
* Not have resided or carried out their main activity (work, studies, etc.) in Austria, for more than 12 months in the 3 years immediately prior to the recruitment date.
* Be, at the date of recruitment, in the first 4 years of their Research career, and not have a doctoral degree in Mathematics.

The review of applicants will begin immediately and continue until all positions are filled. The expected starting date is by September 2016, but any starting date after January 2016 is possible. To apply, please send by
email to, the following:
-- a detailed CV,
-- a transcript of the Master studies grades, and the Master thesis if available,
-- a research statement indicating any preferred PhD topic(s) (see our website below),
-- the completed eligibility form (see our website below),
-- and arrange for at least one letter of recommendation, preferably by the Master's thesis supervisor, to be sent to the above email address.
The first three items should be sent as a single pdf file.

For more information about the positions, the application procedure and the workshop, see:

Applications are welcome until 31/12/2016 or until the positions are filled.

Nr of positions available : 1

Research Fields


Career Stage

Early stage researcher or 0-4 yrs (Post graduate)

Research Profiles

First Stage Researcher (R1)


We offer:
* An exciting research environment including transnational visits to
academic and industrial participants, and to Network-wide events.
* An training program leading to a PhD in Mathematics.
* Full time employment for 3 years.
* A competitive (gross) salary comprising of:
-- living allowance of 3259 € €/month
-- mobility of 600€ €/month, family allowance of 500€ €/month (depending on
family status).

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Johannes Kepler University Linz




Upper Austria



Postal Code



Altenbergerstrasse 69

EU Research Framework Programme
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H2020/Marie Curie Actions

Project's Marie Curie Grant Agreement Number


Johannes Kepler University Linz

Research Support
Altenbergerstrasse 69
4040 - Linz