Position Overview

 The successful candidate will join the project “Adaptive Algorithms for Inverse Problems with Applications in Medical Imaging,” under the supervision of Professor Larisa Beilina. This exciting project focuses on developing innovative adaptive non-local numerical methods for solving multidimensional coefficient inverse problems (MCIPs) and inverse source problems (ISPs), particularly in the context of hyperbolic and parabolic partial differential equations (PDEs). These methods aim to enable real-time detection of skin and breast tumors.

The position includes opportunities for teaching and departmental work (up to 20%), adding up to a maximum of five years of employment.

Responsibilities

As a doctoral student, you will:

• Conduct research in computational mathematics, focusing on numerical methods for inverse problems.
• Develop adaptive algorithms for hyperbolic and parabolic PDEs, including applications in medical imaging.
• Contribute to theoretical advancements, such as Carleman estimates for global uniqueness proofs.
• Publish research results in high-quality international journals and present findings at conferences.
• Participate in departmental teaching and administrative duties (20% workload).

Eligibility Requirements

To qualify for the position, you must meet the following criteria:

General Requirements:

• Hold a Master’s degree or a 4-year Bachelor’s degree in Mathematics, Applied Mathematics, Mathematical Statistics, or a related field.
• Be eligible for doctoral studies under the Swedish Higher Education Ordinance.

Specific Qualifications:

• Strong background in partial differential equations, numerical analysis, or computational methods for PDEs.
• Programming skills (e.g., MATLAB, Python, or similar).
• Excellent oral and written communication skills in English.

Desirable Experience:

• Prior research or academic projects involving numerical simulations or PDE analysis.
• Familiarity with computational tools and methods related to inverse problems.

What We Offer

• Fixed-Term Employment: Four years of full-time study, extendable to five years with departmental work.
• International Research Environment: Collaborate with world-class researchers in mathematics and applied sciences.
• Comprehensive Support: Access to modern facilities, mentorship, and professional development programs.
• Financial Benefits: Competitive salary and full social benefits.

Application Process

Interested candidates should submit the following documents through the University of Gothenburg’s recruitment portal by February 24, 2025:

1. Application Letter (max 2 pages): Introduce yourself, describe your research interests, and explain your motivation for applying.
2. Curriculum Vitae: Include academic achievements, work experience, and programming skills.
3. Academic Transcripts: Provide electronic copies of your Bachelor’s and Master’s transcripts.
4. Thesis Work: Include copies of your Bachelor’s and Master’s theses (if available). Provide an English summary if the original document is in another language.
5. References: Names and contact details of at least two referees.