IC2026_09_01_Two Postdoctoral Fellowship in Inverse Problems and Machine Learning

ScienceCareers.eu; España; On-site; EUR 31,000 - 38,000; Full time

Benefits offered by this job

Moving allowance

Family allowances

Public Health System coverage

Job summary

BCAM-The Basque Center for Applied Mathematics in Bilbao, Spain, seeks a highly motivated researcher for a 2-year postdoctoral contract working on the mathematics and algorithmic development of operator-based machine learning methods for PDE-governed inverse problems. The role includes research visits to the University of Helsinki.

Requirements include a PhD in Mathematics or Applied Mathematics, strong PDE/inverse problems background, and excellent English communication.

Qualifications

• Strong background in PDE analysis, inverse problems, or numerical analysis.
• Interest in mathematical theory of machine learning and neural operators.
• Proven track record of high-quality research publications.
• Excellent communication skills in spoken and written English.

Responsibilities

• Conduct research on operator-based machine learning methods for inverse problems governed by PDEs.
• Develop mathematical foundations and algorithms for operator neural networks and shape imaging.
• Coordinate research visits to the University of Helsinki and collaborate in an international team.

Skills

Analytical thinking

English communication

Publications track record

Independent & collaborative

Education

PhD in Mathematics/Applied Mathematics

Job description

BCAM-The Basque Center for Applied Mathematics

Organisation/Company BCAM-The Basque Center for Applied Mathematics Department Inverse problems, partial differential equations (PDEs), and modern neural operator architectures. Research Field Mathematics Researcher Profile Recognised Researcher (R2) Established Researcher (R3) Application Deadline 22 Oct 2026 - 23:59 (UTC) Country Spain Type of Contract Temporary Job Status Full-time Hours Per Week full time Offer Starting Date 1 Feb 2027 Is the job funded through the EU Research Framework Programme? Horizon Europe Marie Curie Grant Agreement Number 0 Is the Job related to staff position within a Research Infrastructure? No

Offer Description

Project: Work on the mathematical foundations and algorithmic development of operator-based machine learning methods for inverse problems governed by PDEs (operator RNNs, shape imaging, noise-aware operator learning, approximation theory). Includes research visits to the University of Helsinki.

Requirements:

• PhD in Mathematics, Applied Mathematics, or a related field (completed before start).
• Strong background in analysis of PDEs, inverse problems, and/or numerical analysis.
• Interest in mathematical theory of machine learning and neural operators.
• Proven track record of high-quality research publications.
• Excellent communication skills in spoken and written English.

Offer: 2-year contract starting Jan – Jun 2027. Gross annual salary of €31,359 – €38,077 (depending on experience) + moving allowance (€1,000 – €2,000) + family allowances (if applicable) + local tax benefits in Bizkaia + Spanish Public Health System coverage.

Requirements

Skills/Qualifications

A strong background in the analysis of PDEs, inverse problems, and/or numerical analysis.

Interest in the mathematical theory of machine learning and neural operators.

A proven track record of high-quality research publications in top journals/conferences.

Demonstrated ability to work independently and as part of an international collaborative research team.

Excellent communication skills in spoken and written English, with the ability to explain technical ideas to both specialists and non-specialists.

Beyond technical background, we value intellectual character:

• Slow, careful thinking: patience to dwell on a problem and let deep understanding develop over time.
• Critical thinking: questioning assumptions and distinguishing what is proved from what is merely plausible.
• Independence and initiative: ability to set one's own direction and seek out new questions.
• Openness to collaboration: genuine enjoyment of joint work and willingness to share ideas freely.

Specific Requirements

Highly motivated researchers with a PhD in Mathematics, Applied Mathematics, or a closely related field completed before the contract starts.

The post holder will not be required to do any teaching, but if desired, he/she can deliver short courses of his/her choice at the PhD level or be involved in the supervision of graduate students. Organization of scientific events is strongly encouraged.

The position is based at BCAM (Bilbao, Spain), but the researcher must be prepared to spend research visits at the University of Helsinki (at least one quarter of the total time).

Additional Information

Offer: 2-year contract starting Jan – Jun 2027. Gross annual salary of €31,359 – €38,077 (depending on experience) + moving allowance (€1,000 – €2,000) + family allowances (if applicable) + local tax benefits in Bizkaia + Spanish Public Health System coverage.

Number of offers available 1 Company/Institute BCAM-The Basque Center for Applied Mathematics Country Spain State/Province Bizkaia City Bilbao Postal Code 48009 Street Avenida Mazarredo 14