We offer a position for a PhD student at the Institute of Analysis and Number Theory of the Technical University of Graz in Graz/Austria. The position starts anytime, and is for three years.

The position is located within a large research project called "Quasi-Monte Carlo Methods: Theory and Applications", and in particular within the two sub-projects "Diophantine equations, discrepancy and finance" and "Number-theoretic, probabilistic and computational aspects of uniform distribution theory". The research problems investigated in this project are situated somewhere on the intersection of number theory, analysis, probability theory and numerical analysis. See http://www.sfb-qmc.jku.at/ for more information on the general project.

Particular topics include:

- equidistribution theory (theory of uniform distribution modulo one), Diophantine approximation, Diophantine equations, metric number theory, analytic number theory

- low-discrepancy sampling, Quasi-Monte Carlo integration, quantitative finance, information-based complexity, tractability theory, pseudorandomness of deterministic sequences.

However, the applicant is definitely not supposed to have a special education on any these topics - creativity and spiritedness are much more important. However, it is of advantage if the applicant has some general background on analysis and/or number theory. The applicant is expected to collaborate and interact with other members of the research project and of the institute. The Institute of Analysis and Number Theory currently has a (relative) large number of young scientist, totaling to 14 PhD students and PostDoc researchers, so we can guarantee a stimulating and lively atmosphere.

Applicants should have a master's degree (or be very close to having such a degree, and be able to substantiate this claim). Salary is 2.112 € per month (before taxes, 14 times a year).

The PhD student will be supervised jointly by Christoph Aistleitner and Robert Tichy. See https://www.math.tugraz.at/~aistleitner/ and https://www.math.tugraz.at/~tichy/.

Please send your application per e-mail to aistleitner@math.tugraz.at, including a CV, relevant certificates, a copy of your master's thesis (if available), a short description of (mathematical) interests and a letter of recommendation* from your master's thesis supervisor or some other appropriate mathematician. Deadline for application is October 31, 2018.

We particularly want to encourage female mathematicians to apply (but male applicants are considered as well, of course).

*Edit: The letter of recommendation can be included in your application documents, but it can also be sent directly to aistleitner@math.tugraz.at by its author.