DOKTORAT

Doktoratsprogramm
Modeling – Analysis – Optimization of Discrete, Continuous, and Stochastic Systems

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Fact Box

Academic degree
Dr. techn.

Duration of studies
3 years

Language of instruction
English

Deadline
Applications from prospective doctoral students for winter semester will be accepted until July 30^th.

Academic degree
Dr. techn.

Duration of studies
3 years

Language of instruction
English

Deadline
Applications from prospective doctoral students for winter semester will be accepted until July 30^th.

Range of courses

Profile

The goal of this thematic doctoral programme (DP) is to enhance, on the level of doctoral training, the combined knowlegde in the mathematical fields of differential equations, optimization, discrete mathematics, stochastics, and inverse problems, as required to successfully tackle research and application challenges posed by systems exhibiting discrete, continuous, and stochastic aspects.

To provide a common basis for all doctoral students that enables mutual understanding and interaction, we provide an adaptation module consisting of complementary master courses in the areas of the DP not covered in the mathematical training of the doctoral students so far. An essential part of the advanced training of the doctoral students in this DP consists of special lectures that will, as a rule, be provided jointly by two or more faculty members . The main pillar of the training consists in independent and collaborative scientific work supervised by the faculty members. The weekly DK Seminar is crucial for monitoring the progress and informing on results of this work as well as for initiating cooperations.

Research areas

analysis and optimisation of stochastic systems
regularization methods
qualitative and numerical analysis of dynamical systems
nonlinear and combinatorial optimization
optimization and analysis of discrete structures
Bayesian spatio-temporal prediction and design
parameter identification

Faculty members & supervisors

Prof. Dr. Clemens Heuberger (Department of Mathematics)
Prof. Dr. Philipp Hungerländer (Department of Mathematics)
Prof.ⁱⁿ Dr.ⁱⁿ Barbara Kaltenbacher (Department of Mathematics)
Univ.-Prof. Dipl.-Ing. MMMag. Dr. Gregor Kastner (Department of Statistics)
Prof. Dr. Christian Pötzsche (Department of Mathematics)
Prof. Dr. Franz Rendl (Department of Mathematics)
Prof.ⁱⁿ Dr.ⁱⁿ Elena Resmerita (Department of Mathematics)
Prof. Dr. Gunter Spöck (Department of Statistics)
Prof.ⁱⁿ Dr.ⁱⁿ Michaela Szölgyenyi (Department of Statistics)
Prof.ⁱⁿ Dr.ⁱⁿ Angelika Wiegele (Department of Mathematics)

Requirements & Process

Admission prerequisites
- Master in Mathematics at some national or international university
- admission to Doctoral Studies of Technical Sciences at AAU
- confirmation of supervision by a faculty member of the doctoral programme
Admission procedure
For the admission to the doctoral programme the current curriculum for doctoral studies of the University of Klagenfurt has to be taken into account.

Applicants send:
- documents (certificates, letter of motivation and/or evidence of skills in two or more of the research fields of this DP)
- envisaged dissertation topic
- supervision commitment by one of the faculty members of the DP
to the contact address below.

The decision about admission (after a hearing) will be taken jointly by the faculty members of the doctoral programme. The admission of current PhD students from the ongoing Karl Popper Kolleg MSO is possible without this procedure.
Requirements for completion
- performance record (compatible with the rules of the doctoral study in technical sciences “Dr. techn.” at the AAU): altogether 16-32 ECTS containing the following:
  
  research dominated part: 8 ECTS DK seminar plus 3 ECTS Privatissimum
  
  training dominated part: 0-5 ECTS adaptation module plus 5-10 ECTS special lectures
- active participation (poster or oral presentation) in at least two international conferences
- two accepted or positively reviewed papers in international refereed journals or conference proceedings; alternatively, two positive international reviews of the thesis;
Additional requirements for a PhD starting on or after October 1, 2020:
- participation in at least one (internal or external) summer school and in at least two status seminars that take place during the time as a PhD student;
- if there are less than two positively reviewed papers in international refereed journals or conference proceedings (which may be due to rather long revision processes), then in addition to the two positive international reviews of the thesis, there must be two preprints on arXiv which the supervisor and the co-supervisor declare publishable;
- research stay abroad (this condition may be relaxed for those PhD students who have strong personal obstacles such as maternity).
Instead of these, additional requirements for a PhD starting on or after September 1, 2023 and outside the doc.funds doctoral school:
- participation in at least one (internal or external) summer school and in at those status seminars that take place during the time as a PhD student;
- if there are less than two positively reviewed papers in international refereed journals or conference proceedings (which may be due to rather long revision processes), then in addition to the two positive international reviews of the thesis, there must be two preprints on arXiv which the supervisor and the co-supervisor declare publishable;
- research stay abroad is recommended.

Speaker

Univ.-Prof.ⁱⁿ Dipl.-Ing.ⁱⁿ Dr.ⁱⁿ Barbara Kaltenbacher

+43 463 2700 3120
barbara [dot] kaltenbacher [at] aau [dot] at

Contact

Mag. Mirjam Jonk

+43 463 2700 3101
mao-dp.aau.at

Doktorats­­programm ​ Modeling – Analysis – Optimization of Discrete, Continuous, and Stochastic Systems