Projects per year
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
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Projects
- 2 Finished
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Integrating energy storage into the NEM: Bidding, clearing, settlement, dispatch and ancillary markets
Roger, G., Rieger, J., Guo, I., Goeree, J., Karaduman, O. & Pandey, S.
2/03/22 → 31/07/24
Project: Research
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Towards Robust Decision Making in Force Design
Defence Science and Technology Group (DST) (Australia)
3/05/21 → 31/12/21
Project: Research
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A robust optimization approach for a two-player force-design game
Christiansen, J., Ernst, A. T. & Rieger, J., 16 Oct 2024, In: European Journal of Operational Research. 318, 2, p. 656-669 14 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
Generalized Gearhart-Koshy acceleration for the Kaczmarz method
Rieger, J., 2023, In: Mathematics of Computation. 92, 341, p. 1251-1272 22 p.Research output: Contribution to journal › Article › Research › peer-review
1 Citation (Scopus) -
A learning-enhanced projection method for solving convex feasibility problems
Rieger, J., Jan 2022, In: Discrete and Continuous Dynamical Systems - Series B. 27, 1, p. 555-568 14 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems
Ernst, A., Grüne, L. & Rieger, J., 2 Dec 2022, In: Journal of Global Optimization. 86, 2, p. 521–543 23 p.Research output: Contribution to journal › Article › Research › peer-review
1 Citation (Scopus) -
A Galerkin approach to optimization in the space of convex and compact subsets of Rd
Rieger, J., 7 Aug 2020, In: Journal of Global Optimization. 79, p. 593–615 23 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access2 Citations (Scopus)