Doktoratsprogramm 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 member of the doctoral programme
qualitative and numerical analysis of dynamical systems
nonlinear and combinatorial optimization
optimization and analysis of discrete structures
Bayesian spatio-temporal prediction and design
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;
Faculty members (potential supervisors)
Prof. Dr. Clemens Heuberger (Department of Mathematics)
Prof. Dr. Philipp Hungerländer (Department of Mathematics)
Prof.in Dr.inBarbara Kaltenbacher (Department of Mathematics)
Prof. Dr. Jürgen Pilz (Department of Statistics)
Prof. Dr. Christian Pötzsche (Department of Mathematics)
Prof.in Dr.inElena Resmerita (Department of Mathematics)
Prof. Dr. Franz Rendl (Department of Mathematics)
Prof. Dr. Gunter Spöck (Department of Statistics)
Prof.in Dr.inMichaela Szölgyenyi (Department of Statistics)
Prof.in Dr.inAngelika Wiegele (Department of Mathematics)