About Us Axiomatic AI is building a new class of AI systems designed to reason with the rigor of the scientific method. By combining deep learning with formal logic and physics-based modeling, we create verifiable, interpretable AI systems that collaborate with and support human researchers in high‑stakes scientific and engineering workflows.

Our mission, 30×30, is to deliver a 30× improvement in the speed, accessibility, and cost of semiconductor and photonic hardware development by 2030. We aim to revolutionize hardware design and simulation in these industries and are building a team of highly motivated professionals to bring these innovations from research into commercial products.

Position Overview We are looking for a Research Intern to work at the intersection of formal methods, AI, and scientific reasoning. This role is particularly well suited to PhD students interested in advancing AI for science and engineering and building tools that enable verification of scientific output. Specifically, the internship focuses on pioneering research on automated verification of scientific reasoning, such as architecting AI agents capable of navigating complex mathematical formalization workflows, knowledge retrieval systems, and formal and informal verification.

Your Mission

Contribute to tooling for formal reasoning, such as improved library search, theorem retrieval systems, formalization assistants

Explore applications of Lean metaprogramming or related formal methods tooling

Architect verification pipelines for complex equation derivations, building the foundation where AI and physics intersect

Work closely with researchers to identify a tractable, meaningful project that advances both internal capability and research understanding

Conduct high‑quality scientific work that can be published at top tier venues (ICLR, ICML, NeurIPS, etc.) or contribute to major open source projects

Key Requirements

Currently pursuing a PhD (preferred),



or advanced Master’s degree in Computer Science, Artificial Intelligence, Mathematics, Physics, or a related field

Strong proficiency in Python is required

Background in one of the following:

AI / machine learning (agentic AI, knowledge retrieval, graphs, LLMs, deep learning, etc.)

AI for science, especially in physics and other mathematically structured domains

Research Engineering / Software Engineering

Strong research skills and ability to work on open‑ended technical problems

Strong analytical and communication skills

Ability to work independently while collaborating closely with researchers and engineers

Comfort working in a dynamic, fast‑paced setting, thrives in ambiguity

Work Model On‑site. Candidates are expected to be based at our Barcelona office.

Office Location Carrer d'Esteve Terradas, 1 08860 Castelldefels, Barcelona, Spain Our office is located in the Mediterranean Technology Park, within a university campus environment—just 20 minutes by train from central Barcelona and a 15‑minute walk from the beach.

Work Authorization Candidates must have (or be able to obtain) work authorization in one of our office locations.

Relocation Support Axiomatic will support relocation by covering temporary housing and travel to/from the office location during the transition period.

Internship Details You will work directly with and be mentored by a general team of multidisciplinary experts pushing the boundaries of AI‑assisted physics formalization.

Type Paid internship

Duration 3–6 months (typically starting between June and September, depending on candidate availability)

Future Opportunities Successful interns may be considered for full‑time roles following the internship.

EEO Statement At Axiomatic AI, we are dedicated to creating a diverse, inclusive, and authentic workplace. If this role excites you but your background doesn’t perfectly match every qualification, we still encourage you to apply. You could be the perfect fit for this position or another opportunity with us.

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📌 Internship – Research Intern (AI for Scientific Reasoning) (Barcelona)
🏢 Axiomatic-AI
📍 Barcelona