PhD Candidate in Data-Driven Nonlinear Model Reduction / PhD Candidate in Data-Driven Nonlinear Model Reduction

PhD Position in Data-Driven Nonlinear Model Reduction

100%, Zurich, fixed-term

The Chair in Nonlinear Dynamics at ETH Zürich is seeking a highly motivated PhD student specializing in the area of data-driven model reduction for high-dimensional nonlinear physical problems. The successful candidate will focus on the application and extension of data-driven nonlinear model reduction based on the recent theory of spectral submanifolds (SSMS). SSM-reduction offers a dynamical-systems-based alternative to traditional data-driven system modeling methods like neural networks, providing explicit and predictive polynomial ordinary differential equation (ODE) models for the observed dominant dynamics of nonlinear systems.

For a non-technical introduction, please refer here, while a more technical overview is available from here.

Job Description

The primary objective of this position is to collaborate within a Swiss-French consortium of academic institutions to tackle complex model reduction challenges using SSM-reduction. This work will involve comparing this approach with other model reduction techniques, including dynamic mode decomposition (DMD) and neural network-based methods. The targeted problems will necessitate further mathematical and algorithmic advancements beyond the current state of data-driven SSM reduction. The 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.

Profile

• A Master's degree in Mechanical Engineering, Applied Mathematics, or Physics is required.
• A solid foundation in analysis and linear algebra, demonstrated by strong undergraduate and master's-level grades in these subjects, is essential.
• Experience with large-scale computations and data handling is expected.
• A background in nonlinear dynamical systems is also desirable.
• Excellent communication skills in English (both oral and written) are a must, along with a willingness to collaborate in an international team environment.

Workplace

ETH Zurich provides a dynamic and collaborative atmosphere conducive to innovative research and learning.

We Offer

• Your career with impact: Become part of ETH Zurich, which not only supports your professional development but also actively contributes to positive change in society.
• We are committed to fostering a sustainable and climate-neutral university.
• Enjoy numerous benefits, including public transport season tickets, car sharing options, a wide range of sports activities offered by ASVZ, childcare, and attractive pension benefits.

We Value Diversity

In alignment with our core values, ETH Zurich promotes an inclusive culture that values diversity and equality of opportunity. We nurture a working and learning environment that respects the rights and dignity of all staff and students. For more information, visit our Equal Opportunities and Diversity website to see how we ensure a fair and supportive environment for everyone to thrive.

Curious? So Are We.

We invite you to apply online using the form below. Applications should include:

• Your CV
• Your Bachelor's and Master's transcripts
• The contact information of at least two references

Only applications matching the job profile will be considered. Shortlisted candidates will be interviewed online, focusing significantly on their background in applied mathematics, including linear algebra, multivariable calculus, and differential equations. The preferred start date for the position is October 1, 2025.

For further information about the Chair in Nonlinear Dynamics at ETH Zürich, please visit georgehaller.com. Questions regarding the position can be directed to Prof. George Haller via email at Show e-mail (please no applications).

About ETH Zürich

ETH Zurich is one of the world's leading universities specializing in science and technology. We are renowned for our excellent education, cutting-edge research, and direct transfer of new knowledge into society. Over 30,000 individuals from more than 120 countries call our university a place that encourages independent thinking and inspires excellence. Located in the heart of Europe and fostering connections all over the globe, we collaborate to develop solutions for the global challenges of today and tomorrow.