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Our team and mission
The Technology Department is responsible for the technology strategy, the research and technology development programmes, the education programme and the directorate's communication activities. This includes:
This internship will take place within ESA's Advanced Concepts Team (ACT). The ACT is a team of scientists who originate from a broad variety of academic fields and are aiming for an academic career. Its task is to monitor, perform and foster research on advanced space systems, innovative concepts and working methods. It interacts externally almost exclusively with academia and operates as a truly interdisciplinary team bound to high scientific standards. Through its research, the team acts as a pathfinder to explore novel, potentially promising areas for ESA and the space sector, ranging from applied to fundamental research topics. An important task of the team is to communicate scientific trends and results, as input to the strategic planning of the Agency.
Field(s) of activity for the internship
You can choose between the following topics:
Tensor networks (TNs) are computational techniques that originated in many-body quantum physics and have applications in the simulation of complex quantum systems, solving the Navier-Stokes equation, and more. They enable the efficient representation and manipulation of large structured data in high-dimensional spaces. Many combinatorial optimization problems exhibit structural properties (e.g. locality, sparsity, repeated patterns, etc.) which make them well-suited for tensor network approaches. Recent works have investigated the use of tensor networks to obtain feasible solutions of constrained combinatorial optimization problems. More specifically, TNs can be constructed to embed constraints directly into their structure, thus restricting the search only to feasible solutions without relying on penalty functions. Since the search is restricted within the feasible solution space, such methods may prove to be a potentially powerful heuristic.
The goal of this internship is to obtain a clear picture of the strengths and weaknesses of the latest TN based algorithms as heuristics for solving various relevant constrained combinatorial optimization problems.
References:
   
   [1] H. Nakada, K. Tanahashi, and S. Tanaka, Quick design of feasible tensor networks for constrained combinatorial optimization, Quantum 9, 1799 (2025); [2] H. Tianyi , H. Xuxin , J. Chunjing , P. Cheng, A Quantum-Inspired Tensor Network Algorithm for Constrained Combinatorial Optimization Problems, Frontiers in Physics,Volume 10 (2022); [3] J. Lopez-Piqueres, J. Chen, Cons-training tensor networks: Embedding and optimization over discrete linear constraints, SciPost Phys. 18, 192 (2025); [4] J. Lopez-Piqueres et al., Symmetric tensor networks for generative modeling and constrained combinatorial optimization, Mach. Learn.: Sci. Technol. 4 035009 (2023).
The motion field equations link image-plane motion to 3D scene structure and observer motion under the assumption of a static environment. In planetary or lunar settings—where this assumption holds strongly—these equations offer a powerful tool for inferring egomotion or scene geometry from visual data. This internship will explore inverting the motion field equations to derive accurate local depth maps/DEMs (Digital Elevation Models) from monocular camera data. Building on an existing framework that combines optical flow and rangefinder data for egomotion estimation on the Moon, the project will investigate whether the motion field can be inverted directly to estimate a number of quantities, including surface geometry. Additional focus will be given to hybrid approaches using IMU priors, Kalman filtering, and potentially thermal imagery to enhance robustness in low-texture or variable lighting conditions.
The objectives of this internship include:
References:
   
   [1] Horn BK. Motion fields are hardly ever ambiguous. International Journal of Computer Vision, 1988, 1(3): 259–274; [2] Grabe V, Bulthoff HH, Scaramuzza D, Giordano PR. Nonlinear ego-motion estimation from optical flow for online control of a quadrotor UAV. The International Journal of Robotics Research, 2015, 34(8): 1114–1135.431; [3] Izzo D, De Croon G. Landing with time-to-contact and ventral optic flow estimates. Journal of Guidance, Control, and Dynamics, 2012, 35(4): 1362–1367; [4] Vision-Guided Optic Flow Navigation for Small Lunar Missions (Unpublished); [5] Ho HW, de Croon GC, Chu Q. Distance and velocity estimation using optical flow from a monocular camera. International Journal of Micro Air Vehicles, 2017, 9(3): 198–208; [6] Zhong S, Chirarattananon P. Direct visual-inertial ego-motion estimation via iterated extended kalman filter. IEEE Robotics and Automation Letters, 2020, 5(2): 1476–1483.
Black holes, owing to their extreme density and compact size, exhibit fascinating properties for gravitational flybys. Unlike planets and stars, where the surface prevents very low-periapsis flybys, both Schwarzschild and Kerr metrics allow for greater than 180-degree flybys for both time- and null-like particles. The Kerr metric also enables unique ergosphere flyby trajectories and interesting out-of-plane motion. Interstellar mission concepts and a growing interest in venturing beyond the solar system could offer possibilities of sending probes to black holes, providing rare insights into the extreme dynamical environments around these objects. This internship aims to further explore and assess the feasibility of orbital mechanics exploiting the black hole gravitational field.
The objectives of this internship will include some of the following:
References:
   
   [1] Levin, Janna, and Gabe Perez-Giz. “A Periodic Table for Black Hole Orbits.” Physical Review D 77, no. 10 (May 15, 2008): 103005. [2] Grover, Jai, and Alexander Wittig. “Black Hole Shadows and Invariant Phase Space Structures.” Physical Review D 96, no. 2 (July 24, 2017): 024045. [3] Zhang, Fan. “Gravitational Slingshots around Black Holes in a Binary.” The European Physical Journal Plus 135, no. 1 (January 2020): 104.
Reservoir computing is a machine learning paradigm that leverages the dynamics of a fixed nonlinear system—referred to as a reservoir—to project input signals into a higher-dimensional space, enabling linear methods to solve complex problems. While, in principle, randomly initialised reservoirs should perform equivalently, studies have shown that bio-inspired architectures can offer performance advantages due to their topological and weight distribution properties. Previous work has demonstrated the effectiveness of reservoir computing, particularly Echo State Networks (ESNs), in forecasting trajectories within the Circular Restricted Three-Body Problem (CR3BP) over horizons of up to one month, exhibiting reduced overfitting compared to traditional methods.
Building on this foundation, the proposed research will investigate the influence of biologically inspired neuron models on reservoir performance. Specifically, the focus will be on spiking neural networks and biologically plausible models such as Leaky Integrate-and-Fire (LIF) and Izhikevich neurons, with the goal of developing and analysing a liquid state machine—an implementation of reservoir computing using spiking dynamics—for trajectory prediction in the CR3BP.
The main objectives of this internship will be the following:
References:
   
   [1] Damicelli, F., Hilgetag, C.C. and Goulas, A., 2022. Brain connectivity meets reservoir computing. PLoS Computational Biology, 18(11), p.e1010639; [2] Costi, L., Hadjiivanov, A., Dold, D., Hale, Z.F. and Izzo, D., 2025. The Drosophila connectome as a computational reservoir for time-series prediction. Biomimetics, 10(5), p.341; [3] Ghosh-Dastidar, S. and Adeli, H., 2009. Spiking neural networks. International journal of neural systems, 19(04), pp.295-308.
How might a space-faring civilisation expand across the galaxy—and under what constraints? A recent study found that even with rapid expansion, steady-state solutions can emerge where only a fraction of the galaxy is settled. This project builds on that premise by exploring how biophysical or astrophysical limits—such as biological scaling laws, communication costs, or stellar kinematics—shape the dynamics of large-scale settlement.
In collaboration with ongoing research at the ACT, the project will implement a tailored simulator or adapt existing tools to investigate whether such constraints permit stable or bounded patterns of expansion. Prior ACT experience from the GTOCX competition can be reused to accelerate development and ensure interoperability.
References:
   
   [1] Carroll-Nellenback, J., Frank, A., Wright, J. T., & Scharf, C. (2019). The Fermi Paradox and the Aurora Effect: Exo-civilisation Settlement, Expansion, and Steady States. The Astronomical Journal, 158(3), 117. [2] West, G. B., & Brown, J. H. (2005). The origin of allometric scaling laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biological structure and organization. The Journal of experimental biology, 208(Pt 9), 1575–1592. [3] Bettencourt, L. M., Lobo, J., Helbing, D., Kühnert, C., & West, G. B. (2007). Growth, innovation, scaling, and the pace of life in cities. Proceedings of the National Academy of Sciences of the United States of America, 104(17), 7301–7306; [4] Bryant, S., & Machta, B. (2023). Physical Constraints in Intracellular Signaling: The Cost of Sending a Bit. Phys. Rev. Lett., 131, 068401. [5] HESTIA – High-resolution Environmental Simulations of The Immediate Area; [6] Izzo, Dario, Marcus Märtens, Ekin Ozturk, Mate Kisantal, Konstantinos Konstantinidis, Luıs F. Simoes, Chit Hong Yam, and Javier Hernando-Ayuso. "GTOC-X: OUR PLAN TO SETTLE THE GALAXY (ESA-ACT)." (2019).
Behavioural competencies
Education
You must be a university student, preferably studying at master’s level. In addition, you must be able to prove that you will be enrolled at your University for the entire duration of the internship.
Additional requirements
Important Information and Disclaimer
Nationality
Please note that applications are only considered from nationals of one of the following States: Austria, Belgium, Czechia, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Ireland, Italy, Latvia, Lithuania, Luxembourg, the Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, and the United Kingdom.
The European Space Agency (ESA) is Europe’s gateway to space. Its mission is to shape the development of Europe’s space capability and ensure that investment in space continues to deliver benefits to the citizens of Europe and the world.
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