• 9 Rainforest Walk

    3800 Clayton

    Australia

Accepting PhD Students

PhD projects

I am interested in supervising PhD students in the area of numerical mathematics. Most projects will be related to shape optimisation or the computation of reachable sets and viability kernels. I expect a solid background in analysis, linear algebra, differential equations, numerical analysis and programming. Knowledge in optimisation, control theory, functional analysis, convex analysis or set-valued analysis is desirable, but not required.

20072020

Research output per year

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Personal profile

Biography

since 2016: Senior Lecturer, School of Mathematical Sciences, Monash University
2015-2016: Marie-Curie-Fellowship, Department of Mathematics, Imperial College London, United Kingdom
2009-2015: Assistent, Goethe-University Frankfurt, Germany
2006-2009: PhD, Bielefeld University, Germany

 

Research interests

I am working on the numerical and analytical treatment of stationary and evolving shapes and sets with applications in control theory, inverse problems and dynamical systems.

Supervision interests

I am interested in supervising PhD students in the areas of numerical mathematics, set-valued analysis and control theory. From potential applicants, I expect a solid background in analysis, linear algebra, differential equations, numerical analysis and programming. Knowledge in optimisation, control theory, functional analysis, convex analysis or set-valued analysis is desirable, but not required.

If you are interested in working with me, please submit an expression of interest through our School page https://www.monash.edu/science/schools/school-of-mathematics/postgrad/postgraduate-research.

Research area keywords

  • shape optimisation
  • control theory
  • numerical analysis
  • set approximation and computation

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Research Output

A Galerkin approach to optimization in the space of convex and compact subsets of Rd

Rieger, J., 1 Jan 2020, (Accepted/In press) In : Journal of Global Optimization. 23 p.

Research output: Contribution to journalArticleResearchpeer-review

Backward-Forward-Reflected-Backward Splitting for Three Operator Monotone Inclusions

Rieger, J. & Tam, M. K., 15 Sep 2020, In : Applied Mathematics and Computation. 381, 10 p., 125248.

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Explicit Formula for Preimages of Relaxed One-Sided Lipschitz Mappings with Negative Lipschitz Constants: A Geometric Approach

Eberhard, A. S., Mordukhovich, B. S. & Rieger, J., 28 Feb 2020, In : Journal of Optimization Theory and Applications. 185, p. 34-43 10 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File

A Set Optimization Technique for Domain Reconstruction from Single-Measurement Electrical Impedance Tomography Data

Harrach, B. & Rieger, J., 14 Mar 2019, 2017 MATRIX Annals. Wood, D. R., de Gier, J., Praeger, C. & Tao, T. (eds.). 2 ed. Cham Switzerland: Springer, p. 37-49 13 p. (MATRIX Book Series; no. 2).

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Research

Open Access
File

Provably convergent implementations of the subdivision algorithm for the computation of invariant objects

Rieger, J., 2019, In : Numerische Mathematik. 142, 1, p. 149-165 17 p.

Research output: Contribution to journalArticleResearchpeer-review