Moreover, students have to submit a research proposal within the first year of the PhD. The proposal is graded by the supervisory team.

• Quantitative Methods for VGSF. Suitable for students without prior background in financial mathematics (offered annually in winter)

• Selected Topics in Stochastic Calculus (eg. processes with jumps, stochastic control, stochastic filtering) (approximately every 2 years)

• Applied Stochastic Processes (Markov chains, Queueing theory, Simulation methods etc.) (planned, approx. every 2 years)

• Advanced Topics in Financial Mathematics (eg. machine learning in finance, stochastic volatility models, systemic risk etc.) (approx. every 2 years), in WS 2019/20 Machine Learning in Finance by Christa Cuchiero

• Mathematical Statistics (approx. every 2 years, starting WS 2020/21)

• Bayesian Econometrics I and II (annually, Part II is offered in WS 2019/20, Part I in SS 2020, both by Sylvia Frühwirth-Schnatter)

• Computational Statistics (to be developed)

• Foundations of Modern (Functional) Analysis (approx. every 2 years, in WS 2019/20 by Klaus Pötzelberger)

• Convex Analysis and Applications (approx. every 2 years)

• Courses on Operations Research etc. (in SS 2020 by Gerald Reiner and colleagues)

• Further courses

Here you can take any PhD course which is offered by an instructor who is not a PI of the label, for instance courses from finance, economics or production- and supply chain management.

• The thesis is the core part of the doctoral studies; it should contain original research contributions of the PhD candidate.

• The thesis is graded by the doctoral committee (Doktoratskomitee). In general, at least one member of the doctoral committee must be international, i.e. working at a scientific institution outside Austria.

• The thesis is defended before the doctoral committee. The defensio takes place after completion of the coursework according to the Curriculum 2019 and of the essential parts of the thesis.

• It is possible to defend before submission or grading of the thesis.

• The thesis must be written in English.

• In general the thesis consists of at least three independent chapters together with a detailed introduction and a conclusion.

• At least two of the chapters must be publishable in good international journals (according to the judgement of the doctoral committee).

• Good international journals are in particular the journals on the journal list of the Institute for Statistics and Mathematics.