项目介绍

2024年12月23日

Are you passionate about mathematics and its connections to physics? Join our thriving research community as a Ph.D. student in integrable systems—a dynamic field bridging geometry, algebra, analysis, and mathematical physics. Contribute to groundbreaking research with global impact and collaborate on challenges at the forefront of this exciting area.

About us
Join one of Sweden’s leading mathematics departments!

The Department of Mathematical Sciences at Chalmers University of Technology and the University of Gothenburg is the largest mathematics department in Sweden, with around 200 dedicated employees. We excel in both pure and applied mathematics as well as mathematical statistics, with research spanning a wide range of areas.

Our department is organized into three vibrant divisions:

• Algebra and Geometry
• Analysis and Probability Theory
• Applied Mathematics and Statistics

As an internationally renowned department, we are proud to foster a creative, collaborative, and inclusive environment. With regular exchanges with universities worldwide and a steady stream of international visitors, we offer a global, innovative  and stimulating atmosphere.

At the heart of our department is a commitment to education. With highly skilled and passionate educators, we are committed to providing exceptional education while supporting professional growth. Our passionate educators and researchers work together to create a family-friendly, equality-driven workplace where diversity is celebrated.

If you are looking for an inspiring place to advance your career in mathematics, join us and be part of a community that values innovation, collaboration and inclusion.

*Note that this is an advert for Chalmers and you would be employed by Chalmers.

Contract terms and what we offer

• The PhD-positions are fully funded from start
• As a PhD student at Chalmers, you are an employee and enjoy all employee benefits. Read more about working at Chalmers and our benefits for employees.
• As a PhD student, you will be enrolled in a graduate program at the Department of Mathematical Sciences. Please, read more about our graduate program here.
• The position is limited to four years, with the possibility to teach up to 20%, which extends the position to five years.
• A dynamic and inspiring working environment in the coastal city of Gothenburg. Gothenburg.
• A starting salary of 34,550 SEK per month (valid from May 25, 2025).

Chalmers is dedicated to improving gender balance and actively works with equality projects, such as the GENIE Initiative for gender equality and excellence. We celebrate diversity and consider equality and inclusion as fundamental aspects of all our activities.

If Swedish is not your native language, Chalmers offers Swedish courses to help you settle in.

Discover more
Find more general information about doctoral studies at Chalmers here. 

Learn more about being a PhD student at the Mathematical Sciences by watching interviews with current PhD students here.About the project
Integrable systems are a unique class of dynamical systems known for their symmetry-rich structures and predictable behavior, setting them apart from the chaotic dynamics of most systems. These systems are described by differential or difference equations or by iterative maps and play a central role in mathematics and theoretical physics.

Some well-known examples include:

• The Kepler problem
• Nonlinear wave equations (e.g., Korteweg-de Vries and Sine-Gordon)
• Spinning tops studied by Euler, Lagrange, and Kovalevskaya
• The 1- and 2-dimensional Ising model

Integrable systems are deeply rewarding to study for their own intrinsic beauty and their transformative impact on other areas. For example:

• Integrable lattice models have advanced knot theory through innovative tools for constructing invariants.
• Witten’s conjecture (proved by Kontsevich) links nonlinear wave equations to fundamental problems in enumerative geometry.
• The field of integrable probability uses these systems to explain patterns in diverse probabilistic models.

This project is funded by the Swedish Research Council and will be supervised by Associate Professor Martin Hallnäs.

Your role and responsibilities
As a Ph.D. student, you will immerse yourself in an international and collaborative research environment, with opportunities to expand your knowledge, exchange ideas, and travel. Your key responsibilities include:

• Conducting autonomous research in integrable systems.
• Developing original ideas and contributing to the field through publications and presentations.
• Engaging in departmental duties, including teaching (approximately 20% of your time).

Who we are looking forWe encourage applicants from all backgrounds and experiences who are passionate about mathematics and research. To succeed in this role, you should have:

• A solid foundation in mathematics, reflected in strong course grades and undergraduate thesis work.
• A master’s degree (or equivalent 4-year bachelor’s degree) in mathematics or a related field by the start of your employment.
• Effective communication skills in English, both written and oral.

Application procedure
The application should be written in English be attached as PDF-files, as below. Maximum size for each file is 40 MB. Please note that the system does not support Zip files.

• CV: (Please name the document: CV, Family name)
• Two references that we can contact
• Personal letter: (Please name the document as: Personal letter, Family name)
  It should include 1-2 pages where you introduce yourself, describe your previous research experience of relevance for the position.
• Bachelor’s and, if available, master’s thesis together with the transcripts.
• Documents confirming your English proficiency: e.g. TOEFL/IELTS test results, a course/project report written in English (if your bachelor’s/master’s thesis is not in English).

Use the button at the foot of the page to reach the application form. 

Please note: The applicant is responsible for ensuring that the application is complete. Incomplete applications and applications sent by email will not be considered.

Application deadline: February 24, 2025.

For questions, please contact:
Hjalmar Rosengren
Martin Hallnäs

We look forward to your application!

*** Chalmers declines to consider all offers of further announcement publishing or other types of support for the recruiting process in connection with this position. *** 
   

Chalmers University of Technology in Gothenburg conducts research and education in technology and natural sciences at a high international level. The university has 3100 employees and 10,000 students, and offers education in engineering, science, shipping and architecture. With scientific excellence as a basis, Chalmers promotes knowledge and technical solutions for a sustainable world. Through global commitment and entrepreneurship, we foster an innovative spirit, in close collaboration with wider society.
Chalmers was founded in 1829 and has the same motto today as it did then: Avancez – forward.
 

URL to this page
https://www.chalmers.se/en/about-chalmers/work-with-us/vacancies/?rmpage=job&rmjob=13523&rmlang=UK