Postdoc Position

vor 1 Monat

Wien, Österreich Österreichische Akademie der Wissenschaften Vollzeit

Job ID: ISF030PD224

The Acoustics Research Institute (ARI) of the Austrian Academy of Sciences (OeAW), Austria’s leading non uni
- versity research facility, undertakes top-level research in various fields relating to acoustics, including mathemat
- ical foundations of processing acoustic data. Innovation through synergy is at the heart of ARI’s multidisciplinary

research philosophy. The institute is offering

**POSTDOC POSITION (F/M/X)**
(full-time / 40h per week)

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.

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.

The position is limited to 3 years, with the possibility of extension to a maximum duration of 4 years. It is available

from June 1st, 2024. If necessary, a later starting date can be negotiated. The annual gross salary is € 66.501,40,

according to the collective agreement of the Austrian Academy of Sciences.

**than April 30th, 2024**. Please send your informal inquiries and questions to the same address. The first round of

evaluation will start in May 2024.
- The Austrian Academy of Sciences (OeAW) pursues a non-discriminatory employment policy and values equal opportunities, _
- as well as diversity. Individuals from underrepresented groups are particularly encouraged to apply._

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