Vacant job

Project Description

Research Subject: Applied Mathematics and Computational Mathematics

The project focuses on applying optimal transport and gradient flows to machine learning and optimization problems, such as deep generative models, sampling, inference, stochastic optimization, and related applications.

The PhD candidate will develop and analyze mathematical models and algorithms that connect partial (and/or stochastic) differential equations, infinite-dimensional optimization, and statistical machine learning. The goal is to build a theoretical and computational foundation for new methods in statistical inference and generative models, based on principled theory of optimal transport and gradient flows.

We are looking for a highly motivated candidate with a strong background in mathematics, applied mathematics, or related fields, and with an interest in both theory and applications.

The PhD candidate will be placed at the Department of Mathematics, School of Engineering Sciences (SCI), KTH Royal Institute of Technology, and become part of a dynamic research environment with close collaboration with other researchers in the field.

Supervision: Jia-Jie Zhu is proposed to supervise the PhD candidate. Decision will be made upon admission.

Eligibility for Admission

To be admitted to doctoral studies (Chapter 7, Section 39 of the Higher Education Ordinance), the applicant must have basic eligibility:

• completed a degree at the advanced level, or
• fulfilled course requirements of at least 240 higher education credits, of which at least 60 higher education credits at the advanced level, or
• acquired equivalent knowledge in some other way, within or outside the country.

- A master's degree in mathematics, applied mathematics, optimization, statistics, machine learning, or a closely related field, with a solid background in analysis, differential equations, and/or optimization.

- Documented knowledge in mathematical reasoning and programming (e.g., Python) relevant to computational mathematics and machine learning is required.

- Experience in one or more of the following areas is considered meritorious: optimal transport, PDE, stochastic analysis, or theory of generative models, statistical inference, and/or sampling.

In addition to the above, there is also a link (https://www.kth.se/studies/phd/entry-requirements-for-doctoral-studies-1.520175).

Selection

To succeed in your doctoral studies at KTH, you need to be goal-oriented and persistent in your work. In the selection of applicants, the ability to:

• independently drive your work forward,
• collaborate with others,
• have a professional approach, and
• analyze and work with complex issues.
• Experience in programming and numerical simulation is meritorious.
• Good communication skills in English are required for daily work and the ability to work both independently and in teams.
• Experience working in an international research environment.

After the eligibility requirements, great importance will be placed on personal qualities.

Target degree: Doctorate

Information on Admission and Employment

Only those who have been admitted to doctoral studies may be employed as PhD candidates. The total employment period may not exceed what corresponds to full-time doctoral education for four years. An employed PhD candidate may, to a limited extent (maximum 20%), perform certain tasks within e.g., education and administration. A new employment as a PhD candidate is valid for a maximum of one year, after which the employment may be renewed for a maximum of two years at a time. For studies concluding with a licentiate degree, the total employment period may not exceed what corresponds to full-time doctoral education for two years.

As a PhD candidate, you will benefit from link (https://www.kth.se/om/jobba-pa-kth/kth-en-arbetsplats-med-manga-formaner-1.467932) and have a monthly salary according to link (https://intra.kth.se/anstallning/anstallningsvillkor/lon/doktorandstegen-1.572915). Read more about link (https://www.kth.se/studies/phd/doctoral-studies-phd-1.9318).

Union Representatives

Contact information to link (https://intra.kth.se/administration/rekrytering/annonsering/fackrepresentanter-1.500898).

The Doctoral Student Section (Technical University Student Union) Contact information to link (https://www.dr.kth.se/).

Application

You apply via KTH's recruitment system. As an applicant, you have the main responsibility for ensuring that your application is complete when submitted.

The application must be received by KTH no later than the last application day at midnight, CET/CEST (Central European Time/Central European Summer Time).

The application should include the following content:

• CV with relevant professional experiences and skills.
• Cover letter with a brief account of why you want to pursue doctoral studies, your academic interests, and how they relate to your previous studies and future goals. (Max 1 page)
• Representative publications or technical reports
• Master's thesis (or draft)
• Contact information for two references

Other

For link (https://www.kth.se/om/work-at-kth/processing-of-personal-data-in-the-recruitment-process-1.823440) in connection with recruitment.

It may occur that an employment at KTH is classified. If this is the case for this position, a security review of the applicant will be conducted in accordance with the Security Protection Act (2018:585) after consent. In these cases, a prerequisite for employment is that the applicant is approved after the security review.

We kindly ask for no direct contact with staffing and recruitment companies or advertisers of job ads.

Become a Part of KTH

KTH shapes the future through education, research, and innovation. As a leading international technical university, we play an active role in driving and participating in the transition to a sustainable society. Here, you are offered the opportunity to grow and develop in a creative and dynamic workplace with good working conditions and benefits. Equality, diversity, and equal opportunities are quality issues and an obvious part of KTH's values as a university and public authority.

link (https://www.kth.se/om/jobba-pa-kth)