Thematic doctoral programme in Mathematics: Modeling – Analysis – Optimization of discrete, continuous, and stochastic systems
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.
Academic degree: Dr. techn.
Duration of studies: 3 years
Language of instruction: English
- 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
- 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
For the admission to the doctoral programme the current curriculum for doctoral studies of Alpen-Adria-Universität Klagenfurt has to be taken into account.
- 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.
Applications from prospective doctoral students for winter semester will be accepted until July 30th.
- 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;
- 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).
Faculty members (potential 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)
Univ.-Prof.in Dipl.-Ing.in Dr.in Barbara Kaltenbacher
E: barbara [dot] kaltenbacher [at] aau [dot] at
T: +43 463 2700 3120