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 work on the application and extension of data-driven nonlinear model reduction based on the recent theory of spectral submanifolds (SSMs). SSM reduction is a dynamical-systems-based alternative to data-based system modeling via neural networks. SSM-based modeling provides explicit and predictive polynomial ODE models for the observed dominant dynamics of nonlinear systems. A nontechnical introduction can be found here, whereas a more technical introduction is available from here.
The objective of the position is to work within a Swiss-French consortium of academic institutions to solve challenging model reduction problems using SSM reduction and compare this approach with other model reduction methods, such as dynamic mode decomposition (DMD) or neural network-based methods. The problems will require further mathematical and algorithmic development over 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 strong background in analysis and linear algebra (evidenced by strong undergraduate- and master-level grades in these subjects) is essential. Experience with large-scale computations and data handling is required. Some background in nonlinear dynamical systems is also expected. The candidate must have excellent communication skills in English (oral and written) and be willing to work in an international team environment.
We offer
* Your career with impact: Become part of ETH Zurich, which supports your professional development and actively contributes to positive societal change.
* Expect numerous benefits, such as public transport season tickets, car sharing, a wide range of sports offered by the ASVZ, childcare, and attractive pension benefits.
In line with our values, ETH Zurich encourages an inclusive culture. We promote equality of opportunity, value diversity, and nurture a working and learning environment where the rights and dignity of all staff and students are respected. Visit our Equal Opportunities and Diversity website to learn how we ensure a fair and open environment that allows everyone to grow and flourish.
Curious? So are we.
We look forward to receiving your online application in English. The application should include:
* Your CV
* Bachelor and master transcripts
* Contact information of at least two references
We only accept applications submitted through our online portal until August 15, 2024. Promising applicants may be contacted before the deadline. The preferred start date is October 1, 2025. Shortlisted candidates will be interviewed online, with a focus on applied mathematics, including linear algebra, multivariable calculus, and differential equations.
For further information, visit georgehaller.com. Questions regarding the position should be directed to Prof. George Haller at georgehaller@ethz.ch (no applications).
ETH Zurich is a leading university in science and technology, known for excellent education, cutting-edge research, and societal impact. With over 30,000 students from more than 120 countries, it fosters independent thinking and inspires excellence. Located in Europe’s heart, ETH Zurich collaborates globally to develop solutions for today’s and tomorrow’s challenges.
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