Postdoc Position "DISCO - Discrepancy and universal discretization of continuous frames"
Postdoc Position "DISCO - Discrepancy and universal discretization of continuous frames"
Austrian Academy of Sciences
Vienna, Austria
This position is associated with the FWF project "DISCO - Discrepancy and universal discretization of continuous frames". The project is concerned with the derivation of sampling and interpolation results for integral transforms associated with (possibly) uncountable dictionaries, so-called continuous frames by employing low discrepancy point sets. The latter are sets of points that are well-distributed in a domain of interest in the sense of discrepancy, and most commonly used in quasi-Monte Carlo integration. As such, the project covers topics ranging from functional analysis, in particular frame theory and sampling theory, to number theory.
As a central member of the project team, the successful candidate will cooperate with the PI Dr. Nicki Holighaus, the local project team and the external partners on a variety of project tasks. The successful candidate will have the chance to contribute to all project topics. Depending on their expertise, a focus on either discrepancy-theoretic, or frame-theoretic aspects of the project can be negotiated.
Your tasks:
- Develop discrepancy measures and study their properties on infinite measure spaces and explore the connection of low discrepancy point sets with sampling and interpolation of continuous frames;
- Cooperate with DISCO's internal and external team members on various project tasks, this includes assisting the PI in the supervision and coordination of the PhD and, in particular, the Master's students working on various project tasks;
- Communication of scientific results in scientific publications and at scientific meetings;
- No teaching duties, but voluntary engagement in teaching activities is encouraged, e.g., at the Faculty of Mathematics of the University of Vienna through the university's cooperation agreement with the OeAW.
Your profile:
- A PhD degree (or equivalent) in mathematics;
- Prior experience in harmonic analysis, frame theory, discrepancy theory, and/or number-theoretic methods for the construction of structured point sets;
- A competitive and promising track-record appropriate to the applicants' career stage, reflecting your expertise in the abovementioned field(s);
- Willingness to work in a team;
- Excellent knowledge and understanding of written and oral English.
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