[Opt-Net] Doctorate Research Position in Nonsmooth and Convex Optimization at University of Vienna

[Radu Ioan Bot]

The *Research Group on Applied Mathematics and Optimization* at the
Faculty of Mathematics of
the University of Vienna, headed by Radu Ioan Bot, has its core research
areas in Nonsmooth and
Convex Optimization. Currently it offers

*1 Doctorate Research Position (3 years) at the**
**Faculty of Mathematics, University of Vienna*

within the FWF-funded research project *Employing Recent Outcomes in
Proximal Theory Outside**
**the Comfort Zone*.

The main scientific target of the project is to employ recent advances
concerning some classical
techniques used so far mainly for iteratively minimizing convex
functions in Hilbert spaces to research
fields lying outside their comfort zone. These methods evolve around the
notion of proximality, which
relies on evaluating a certain regularization of the addressed
mathematical object. Due to its reliability,
simplicity and accuracy, the proximal theory was successfully employed
for solving nondifferentiable
convex optimization problems and monotone inclusions with complex
structures as well, proving a
strong positive impact on the treatment of real-life applications with
high-dimensional data.

The research themes to be addressed in this project range from the
employment of the paradigm of
proximality in broader frameworks like considering generalized
distances, working in more general
underlying spaces and addressing the direct solving of multiobjective
optimization problems to the
approach of monotone inclusions problems via first- and second-order
dynamical systems. The
expected results should have impact beyond the corresponding research
areas both in mathematical
fields like ordinary differential equations, partial differential
equations, optimal control, functional
analysis, game theory, equilibrium problems and optimal transport
theory, and in the solving of real-life
problems arising in optimal location selection, image processing,
machine learning, quantification of
risk, network communication and video processing.

The position is available from *September 1st, 2016*. The salary is as
suggested by the FWF
according to a doctorate position. The working load for the project is
30 hours per week. The deadline
for application is *June 30th, 2016*.

*Required Qualifications*

The candidates should have a master degree (or equivalent) in
Mathematics, a solid theoretical
background and strong computer skills. Fluency in the English language
has to be proven.
Applications (including a letter of motivation, curriculum vitae, the
master thesis, peer reviewed
research publications, copies of academic certificates and a letter of
recommendation) should be sent
to: _min.hadler at univie.ac.at._ More information can be found on
_http://www.mat.univie.ac.at/~rabot_.

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