100%, Zurich, fixed-term
The Chair in Nonlinear Dynamics at ETH Zürich is seeking a highly motivated PhD student specializing in data-driven model reduction for high-dimensional nonlinear physical problems. The successful candidate will focus on applying and extending data-driven nonlinear model reduction based on the recent theory of spectral submanifolds (SSMS). SSM-reduction is a dynamical systems-based alternative to data-driven system modeling via neural networks, providing explicit and predictive polynomial ordinary differential equation (ODE) models for the observed dominant dynamics of nonlinear systems. A non-technical introduction can be found here, while a more technical introduction is available here.
The objective of this position is to collaborate with a Swiss-French consortium of academic institutions to address challenging model reduction problems using SSM-reduction. This will involve comparing this approach with other model reduction methods, such as dynamic mode decomposition (DMD) and neural network-based methods. The targeted problems will require further mathematical and algorithmic developments beyond the current state of data-driven SSM reduction. This PhD position will be based either within the Department of Mechanical and Process Engineering or the Department of Mathematics at ETH Zurich, depending on the candidate's background and preferences.
The ideal candidate should possess a Master's degree in mechanical engineering, applied mathematics, or physics. A strong foundation in analysis and linear algebra is necessary, as evidenced by strong undergraduate and Master's level grades in these subjects. Experience with large-scale computations and data handling is required, with some background in nonlinear dynamical systems also expected. Excellent communication skills in English, both oral and written, are essential, along with a willingness to work collaboratively in an international team environment.
ETH Zurich offers a dynamic and collaborative research environment, fostering innovation and creativity among its academic community.
ETH Zurich fosters an inclusive culture, promoting equality of opportunity, valuing diversity, and nurturing an environment where the rights and dignity of all staff and students are respected. Visit our Equal Opportunities and Diversity website to learn more about how we maintain a fair and open environment that allows everyone to thrive.
We invite you to apply online using the form below. Your application should include:
Only applications matching the job profile will be considered. The preferred start date for the position is October 1, 2025. Shortlisted candidates will be interviewed online, with a substantial part of the first interview focusing on the candidate's background in applied mathematics, including linear algebra, multivariable calculus, and differential equations.
For further information about the Chair in Nonlinear Dynamics at ETH Zürich, please visit georgehaller.com. Questions regarding the position should be directed to Prof. George Haller at georgehaller@ethz.ch (no applications).
ETH Zurich is one of the world’s leading universities specializing in science and technology. Renowned for its excellent education, cutting-edge research, and active transfer of new knowledge into society, ETH Zurich promotes independent thinking and nurtures an inspiring environment. Located in the heart of Europe and connecting globally, we are dedicated to developing solutions to the challenges of today and tomorrow.
Location : Zürich
Country : Switzerland