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 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 serves as a dynamical-systems-based alternative to traditional data-based system modeling via neural networks, offering explicit and predictive polynomial ODE models for the observed dominant dynamics of nonlinear systems.

Job Description

The primary objective of this position is to collaborate within a Swiss-French consortium of academic institutions to tackle challenging model reduction problems using SSM-reduction. This approach will also be compared with other model reduction methods, such as dynamic mode decomposition (DMD) and neural network-based strategies. The complexities of the targeted problems will necessitate further mathematical and algorithmic developments to advance the current state of data-driven SSM reduction. The PhD position can be based either within the Department of Mechanical and Process Engineering or the Department of Mathematics at ETH Zurich, depending on the candidate's academic background and preferences.

Profile

The ideal candidate should possess:

• A master's degree in mechanical engineering, applied mathematics, or physics.
• A strong foundation in analysis and linear algebra, evidenced by strong undergraduate and master-level grades in these subjects.
• Experience with large-scale computations and data handling.
• A background in nonlinear dynamical systems.
• Excellent communication skills in English, both oral and written.
• A willingness to work within an international team environment.

Workplace

Your career will thrive at ETH Zurich, an institution renowned for its commitment to professional development and positive societal impact. We are dedicated to creating a sustainable and climate-neutral university.

We Offer

• Your career with impact: Become part of ETH Zurich, which fosters your professional development while contributing actively to societal progress.
• Numerous benefits, including public transport season tickets, car sharing, a variety of sports offered by the ASVZ, childcare support, and attractive pension benefits.

We Value Diversity

ETH Zurich is committed to promoting an inclusive culture. We champion equality of opportunity, value diversity, and nurture a respectful working and learning environment for all staff and students. For more information, please visit our Equal Opportunities and Diversity website.

Curious? So Are We.

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

• Your CV
• Your bachelor's and master's transcripts
• Contact information for at least two references

Please note that only applications matching the job profile will be considered. The preferred start date for the position is October 1, 2025. Shortlisted candidates will be invited for an online interview, during which a substantial part will be technical, focusing on applied mathematics, including linear algebra, multivariable calculus, and differential equations.

For further information on the Chair in Nonlinear Dynamics at ETH Zürich, please visit georgehaller.com. Questions regarding the position should be directed to Prof. George Haller by email at georgehaller@ethz.ch (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 fundamental research, and the direct transfer of new knowledge into society. Over 30,000 individuals from more than 120 countries consider our university a place that fosters independent thinking within an environment that inspires excellence. Located in the heart of Europe, we forge connections across the globe to develop solutions for today's and tomorrow's global challenges.