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Mathematics PhD Candidate in Numerical Simulation and Energy Storage Materials

Sapere Aude – dare to be wise – is our motto. Our students and employees develop knowledge and skills that enrich the individual and the world. Our academic environment is characterized by curiosity, courage, and perseverance, and the foundation of our operations is equality, diversity, and a democratic approach. We are located in an active, nature-close region and are a driving force for sustainable development in close collaboration with the surrounding society.

With approximately 1,400 employees and 17,300 students, Karlstad University is divided between two inspiring campus environments in Karlstad and Arvika. Learn more about us at: https://www.kau.se/jobba-hos-oss (https://www.kau.se/jobba-hos-oss)

Are you interested in the interplay between mathematical modeling, partial differential equations, and numerical simulation of the multiscale physics involved in energy storage materials?

Do you want to contribute with mathematical tools for better management of energy resources?

Description

The Faculty of Health, Science, and Technology announces a position in the doctoral program leading to a PhD in applied mathematics at the Department of Mathematics and Computer Science.

The purpose of this project is to develop microscopic models that describe the interaction between mixtures of populations of particles, study the mathematical quality of the proposed models, perform rigorous homogenization-asymptotics (and other upscaling techniques), solve numerically the obtained macroscopic equations, and quantify the validity range of the results. Effective algorithms and numerical methods will be proposed so that modern simulation software can quickly provide insight into the quality of the proposed models for multiple scales and their potential applicability to explore real scenarios.

Responsibilities

As a doctoral student, you will primarily engage in your own doctoral education. The doctoral education, consisting of 240 higher education credits for a doctoral degree and 120 higher education credits for a licentiate degree, is an opportunity for studies with salary in combination with work and a chance for an initial academic career. As a doctoral student, you work independently and are prepared to contribute in various ways to the subject's and the institution's work and development. By agreement, you may be required to participate in teaching and administration, so-called institutional service. Such work may account for a maximum of 20% of full-time employment. The work as a doctoral student gives you great freedom to plan and structure your day yourself. It requires commitment, self-drive, and the ability to structure in order to reach the goal with the thesis. Experienced supervisors support you along the way. To contribute to a good work environment and development of the business, you are present and participate in the daily work and community.

The research is conducted in mathematical homogenization (including partial differential equations and applied functional analysis) and in related approximation theory and numerical simulation of selected multiscale models, focusing on energy extraction.

Eligibility Requirements

To be admitted to the doctoral program, the applicant must meet both basic and specific eligibility requirements (Higher Education Ordinance, Chap. 7, § 35).

Basic eligibility is granted to those who have completed an advanced level degree, fulfilled course requirements of at least 240 higher education credits, of which at least 60 higher education credits are at an advanced level, or who have in some other way, in or outside the country, acquired essentially equivalent knowledge. (Higher Education Ordinance, Chap. 7, § 39).

Special eligibility for admission to the doctoral program in mathematics is granted to those who have completed a master's degree with a major in mathematics with a specialization in a relevant area or have a degree with the same specialization in mathematics, or who in some other way, in or outside the country, have acquired essentially equivalent knowledge.

Admission and Assessment Criteria

To be admitted to the doctoral program, you must be assessed to have the ability to benefit from the education (Higher Education Ordinance, Chap. 7, § 35). Admission is based on individual assessment. Of particular importance are study results and the quality of independent research or degree projects carried out during previous studies, especially works at the master's level and within the relevant research direction. Of great importance are scientific skill, suitability for the research project, and good ability to work both independently and in a group.

For more information about the doctoral program in mathematics at Karlstad University, visit https://www.kau.se/en/mathematics (https://www.kau.se/en/mathematics).

Conditions

After admission to education at the doctoral level, an employment as a doctoral student will be offered (Higher Education Ordinance, Chap. 5, § 3). The employment covers four years of full-time studies, alternatively 5 years of studies at 80% and 20% teaching or other institutional service. The employment is limited to one year initially and can then be extended for a maximum of two years at a time. Starting date by agreement.

The salary for the doctoral student position follows the salary scale for doctoral students established by Karlstad University.

Other

Karlstad University values the qualities that gender balance and diversity bring to the business. We therefore welcome applicants of all genders and with different backgrounds, functionality, and life experiences.

Application

Applications are made through the university's web-based recruitment tool Varbi.

HR Excellence in Research

In September 2020, Karlstad University received the HR Excellence in Research award. The award is given to employers who have a stimulating work environment and good conditions for researchers and continuously work to develop these. The award demonstrates the institution's commitment to fair and transparent recruitment and favorable professional development for researchers. Read more at https://www.kau.se/jobba-hos-oss/karlstads-universitet-som-arbetsgivare/human-resources-strategi-forskare-hrs4r (https://www.kau.se/jobba-hos-oss/karlstads-universitet-som-arbetsgivare/human-resources-strategi-forskare-hrs4r)