PhD Position in Mathematics: The Department of Mathematics and Mathematical Statistics at Umeå University invites applications for a fully-funded PhD position in mathematics, focusing on geometric deep learning. This position, part of the Wallenberg AI, Autonomous Systems and Software Program (WASP), offers an opportunity to delve into cutting-edge research on the mathematical foundations of artificial intelligence. The successful candidate will join a dynamic research group exploring various facets of modern machine learning, including geometric deep learning, non-convex optimization problems, and federated learning. The selected candidate will embark on a four-year journey of third-cycle studies, actively participating in research and third-cycle courses.
PhD Position in Mathematics: Geometric Deep Learning within WASP AI Program
Study Area: Mathematics, Geometric Deep Learning
Location: Umeå, Sweden
Eligibility/Qualification: Candidates must hold qualifications equivalent to a completed second-cycle degree, with at least 240 ECTS credits, including a minimum of 60 ECTS credits at the second-cycle level. Specific entry requirements for third-cycle studies in mathematics include at least 60 ECTS credits within the field of mathematics, with 15 ECTS credits acquired at the second-cycle level. Proficiency in English, both written and spoken, along with good programming skills, is essential. While prior knowledge and experience in areas such as differential geometry, differential equations, and machine learning are advantageous, they are not mandatory.
Description: The PhD position focuses on advancing the understanding of geometric deep learning, particularly exploring neural ordinary differential equations (NODEs) and their applications. The project aims to extend NODEs from manifolds to M-polyfolds, enabling the accommodation of variable dimension dynamics in machine learning models. This endeavor requires the development of a comprehensive geometric framework for flows and integral curves on M-polyfolds, as well as a theory of group actions compatible with the M-polyfold structure. The selected candidate will contribute to this cutting-edge research, collaborating with a vibrant research community at Umeå University.
How to Apply: Applications must be submitted through the university’s recruitment system. The deadline for application is June 10, 2024. Interested candidates should provide the following documents in English or Swedish:
- A cover letter detailing qualifications, research interests, and reasons for applying.
- Curriculum vitae.
- Authenticated copies of degree certificates and academic transcripts.
- Copies of relevant work, such as master’s thesis or authored/co-authored articles.
- GMAT (or GRE) and TOEFL/IELTS test scores, if available.
- Contact information for at least two references.
Candidates are encouraged to highlight their contributions to gender balance within their application.
Last Date to Apply: June 10, 2024
For more information, please visit the Department of Mathematics and Mathematical Statistics website: https://www.umu.se/en/department-of-mathematics-and-mathematical-statistics/
Contact: For additional details about the position, interested candidates may contact Associate Professor Fredrik Ohlsson at fredrik.ohlsson@umu.se.
For more information about the WASP program, visit: https://wasp-sweden.org/
