PhD position in Scientific Machine Learning: Data science at scale and mixed precision solvers

Technische Universität München (Technical University of Munich); München; On-site; EUR 50,000 - 70,000; Full time

Job summary

The Technical University of Munich invites applications for a PhD position in the HDSC/MDSI Tandem Project, focusing on data science at scale and mixed‑precision solvers for neural networks. The primary work will be in Garching, developing scalable linear solvers and GPU‑accelerated code for PDE‑driven ML tasks. You will collaborate with researchers across campuses, contribute to Python‑friendly tooling, and pursue a Doctorate (Dr.

rer. nat.).

Qualifications

• Master in Informatics, Mathematics, or related field.
• Strong knowledge of ML, Scientific Computing, and HPC.
• Programming proficiency; experience with GPUs, C++, and Python is valued.
• Excellent communication and collaboration in English.
• Preferred: experience with linear operators, eigenproblems, or numerical solvers.

Responsibilities

• Develop scalable linear solvers for training neural networks solving PDEs.
• Utilize GPU code generators and ensure Python usability for downstream data analysis.
• Collaborate with researchers across campuses (Garching and Heilbronn) and contribute to SciML projects.

Skills

Machine learning

Scientific Computing

High Performance Computing

Python

C++

Education

Master in Informatics or Mathematics

Tools

Python

C++

Job description

31.07.2026, Academic staff

About Us

Located in the prosperous capital of Bavaria and home to over 39000 students, the Technical University of Munich (TUM) is one of the world's top universities. It is committed to excellence in research and teaching, interdisciplinary education, and the active promotion of promising young scientists. TUM benefits from the healthy mix of companies and startups of all sizes headquartered in the region and is tightly connected to regional research hospitals. The university also forges strong links with companies and scientific institutions across the world.

We are looking for motivated researchers to join the HDSC/MDSI Tandem Project "Data science at scale: Training neural models with mixed precision solvers." This is a joint project involving Prof. Dr. Michael Bader (TUM CIT, Hardware‑aware algorithms for HPC), Prof. Dr. Felix Dietrich (TUM CIT, Physics‑enhanced Machine Learning), and Prof. Dr. Hartwig Anzt (TUM CIT, Computational Mathematics). Remuneration is 100% TVL E13 according to the German public sector rates. You have the opportunity to pursue a doctoral degree (Dr. rer. nat., i.e. the "German PhD"). The primary place of work will be at the TUM Campus Garching.

Description

Do you thrive on challenging research projects that bridge the gap between theoretical data science and large‑scale practical application? We have an exciting opportunity for you to join our team working on Scientific Machine Learning (SciML). The project focuses on developing scalable HPC algorithms and mixed‑precision solvers to train neural models on massive datasets that exceed the capabilities of single‑node systems. A key objective is the development of efficient iterative algorithms for training networks based on random features, which can be applied to regression, classification, and the solution of time‑dependent partial differential equations (PDEs), such as large‑scale tsunami simulations. The project involves two doctoral researchers with complementary directions. A researcher in Heilbronn will focus on precision‑emulation to overcome the gap between low‑precision GPU hardware and the high‑precision requirements of linear algebra solvers. The position in Heilbronn is already filled.

This job description is for a position in Garching. Here, you will develop general‑purpose, scalable linear solvers for training neural networks that represent solutions to PDEs. Your work will involve utilizing GPU code generators for matrix multiplication kernels and ensuring the software is usable in Python for downstream data analysis [2]. Collaboration is central to this role. You will work closely with researchers across both campuses (Garching and Heilbronn), participating in meetings and semesterly research visits, working between computational mathematics and physics‑enhanced machine learning.

Requirements

• Master in Informatics, Mathematics, or a related field (e.g. Computational Science/Engineering)
• Strong knowledge of machine learning, Scientific Computing (particularly linear algebra and numerics), and High Performance Computing (HPC).
• Proficiency in programming; experience with GPU architectures, C++, and Python is highly valued.
• Excellent communication and collaboration skills in English.
• Soft skills: analytical thinking, structured and organized work, and high intrinsic motivation.
• Preferred: Experience with linear operators, eigenproblems, or the development of numerical solvers.

Note that TUM has been pursuing the strategic goal of substantially increasing the diversity of its staff. As an equal opportunity and affirmative action employer, TUM explicitly encourages nominations of and applications from women as well as from all others who would bring additional diversity dimensions to the university's research and teaching strategies. International candidates are highly encouraged to apply. The position is suitable for disabled candidates, and preference will be given to disabled candidates with equal qualifications.

Contact

If you have any questions about the application or the project, write an email (see website):
Prof. Dr. Felix Dietrich
The research group homepage: https://www.cs.cit.tum.de/scml
Link to the personal page

Data Protection Information

When you apply for a position with the Technical University of Munich (TUM), you are submitting personal information. With regard to personal information, please take note of the Datenschutzhinweise gemäß Art. 13 Datenschutz-Grundverordnung (DSGVO) zur Erhebung und Verarbeitung personenbezogener Daten im Rahmen Ihrer Bewerbung. (data protection information on collecting and processing personal data contained in your application in accordance with Art. 13 of the General Data Protection Regulation (GDPR)). By submitting your application, you confirm that you have acknowledged the above data protection information of TUM.

Kontakt: https://www.cs.cit.tum.de/en/sccs/people/felix-dietrich