Veronika Kovzel
Phone: +49 351 260 3231

More Information


For any questions, do not hesitate to ask:
Dr. Michael Bussmann Tel.: +49 3581 37523 11,
+49 351 260 2616
Prof. Ivo Fabian Sbalzarini
Mrs. Weronika Mazur Tel.: +49 3581 37523 23,
+49 171 3635554
Mrs. Inken Köhler Tel.: +49 3581 37523 10,
Dr. Michael Hecht
Prof. Oliver Sander

Place of work:

Working hours:
19,5 h/week

Online application
English / German
Job-Id: 160/2020 (1092)

The HZDR is committed to equal opportunity employment and we strongly encourage applications from qualified female candidates. We also carefully consider all applications from job candidates with severe disabilities.

Bautzner Landstraße 400
01328 Dresden

PhD Student (f/m/d): Computational Methods for Cell Shapes and Elastic Materials – Numerical Integration on Curved Surfaces—

As member of the Helmholtz Association of German Research Centers, the HZDR employs about 1,200 people. The Center's focus is on interdisciplinary research in the areas energy, health and matter.

The Center for Advanced Systems Understanding (CASUS) is a German-Polish research center for dataintensive digital systems research. We combine innovative methods from mathematics, theoretical systems research, simulations, data science, artificial intelligence, and computer science to provide solutions for a range of disciplines - materials science under ambient and extreme conditions, earth system research, systems biology and medicine, and autonomous vehicles. CASUS was jointly founded in August 2019 by the Helmholtz-Zentrum Dresden-Rossendorf (HZDR), the Helmholtz Centre for Environmental Research (UFZ), the Max Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG), the Technical University of Dresden (TUD) and the University of Wroclaw (UWr). CASUS is located in the heart of Görlitz at the border between Germany and Poland. The CASUS start-up phase is hosted by the Helmholtz-Zentrum Dresden-Rassendorf and is financed by the Federal Ministry of Education and Research (BMBF) and the Saxon State Ministry for Higher Education, Research and the Arts (SMWK).

The CASUS Department of Systems Biology is looking for a PhD Student (f/m/d) excited about novel mathematical approaches to fundamental algorithms in scientific computing. The position will be available immediately. The employment contract is limited to 3 years. Location of work is Görlitz, remuneration is according to the German Civil Service Tariff and HZDR employment conditions. No tuition charged.

The Scope of Your Job

The project is embedded in a larger collaboration with MPI-CBG and TUD's Department of Mathematics and aims to exploit recent advances in numerical integration given by the generalization
of the classic Gauss quadrature rules to arbitrary dimensions. Based on these results, new algorithms for computing surface integrals or more general integrals on high dimensional manifolds shall be developed. The core ingredient of the approach is given by novel solutions of high-dimensional interpolation problems with vastly improved computational performance and accuracy. Integration
and interpolation are at the heart of many applications in scientific computing, from numerical solutions of differential equations, to deep learning. You will work with experts in the field of mathematics to further develop the algorithmic foundations, and with colleagues from the other CASUS Departments in order to apply the new algorithms. Applications include, but are not limited to,
computing total energies of deforming synthetic materials or total concentrations for polar gel models of biological tissue dynamics.


  • Derive efficient cubature formulas in high dimensions and curved surfaces/manifolds based on earlier work
  • Apply the results to deformation models of synthetic materials and biological systems
  • Implement the resulting algorithms in the parallel computing DUNE and OpenFPM frameworks
  • Publish your results in academic, peer-reviewed journals
  • Present your results at scientific meetings

Your Qualifications:

  • Master's degree in mathematics, theoretical/computational physics, scientific computing or computational sciences
  • A solid background in computing and natural science
  • Programming skills in languages such as Python or C++
  • Experience in Functional Analysis, Differential Geometry and Numerical Analysis
  • Strong motivation to work in a collaborative and interdisciplinary environment
  • Excellent communication skills in English and in a professional context (presentation of research results at scientific meetings, colloquial discussions, writing of manuscripts).

We offer:

  • A vibrant research community in an open, diverse, and international work environment
  • Scientific excellence and extensive professional networking opportunities
  • The employment contract is limited to three years with the possibility of longer-term prospects
  • Salary and social benefits in conformity with the provisions of the Collective Agreement TVöD-Bund
  • 30 Vacation Days per year
  • Company pension scheme (VBL)
  • A good work/life balance for which we offer assistance in the form of:
    • possibility to work part-time

    • flexible working hours

    • in-house health management

Kindly submit your completed application (including cover letter, CV, diplomas/transcripts, etc.) only via our Online-application-system.