Internship - Research (Uncertainty Quantification, Robust Design & Surrogate Modeling) BCN office

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 contribute to exploratory research projects related to uncertainty quantification (UQ), experimental design, robust design methodologies, and surrogate modeling. The exact project can be shaped based on the intern’s background and strengths, but the overall focus will be on extending and improving methodological foundations that support scientific and engineering workflows. This role is well suited to candidates with strong technical depth in probabilistic machine learning, Bayesian computation, and applied mathematical modeling. Depending on candidate fit, we may also consider a more specialized direction in neuromorphic computing in photonics. Your mission Contribute to exploratory research on improvements and extensions to uncertainty quantification methodologies Support work on experimental design and robust design approaches for scientific and engineering applications Develop or evaluate surrogate modeling approaches for complex systems Collaborate with researchers to structure isolated but meaningful projects with clear learning and research value Key requirements Currently pursuing a Master’s or PhD in Applied Mathematics, Computer Science, Physics, or a related field Strong proficiency in Python Strong background in probabilistic machine learning, uncertainty quantification, or Bayesian computation Solid mathematical and analytical skills Ability to work independently on technically demanding research tasks Strong communication and collaboration skills Comfort working in a dynamic, fast-paced setting Work model & location expectations Work model: Primarily on-site. Candidates are expected to be based in one of our offices (Toronto, Boston, or Barcelona), with a hybrid setup of 4 days per week in the office and 1 day remote. Primary locations: Toronto, Boston, or Barcelona Work authorization: Candidates must have (or be able to obtain) work authorization in one of these locations. Relocation support: Axiomatic will support relocation by covering temporary housing and travel to/from the office location during the transition period. Hiring manager & interview process The interview process consists of four stages: Culture interview Technical + Hiring Manager interview (1 hour) Team interview Offer stage Internship details Type: Paid Summer Internship Duration: Internships typically run between June and August/September (10–12 weeks), with some flexibility depending on candidate availability and location. Future opportunities: Successful interns may be considered for full-time roles following the internship. Why join us? At Axiomatic AI, you will be working on technology that drives innovation in AI for scientific and engineering applications in line with our 30×30 mission. This is your opportunity to contribute to the development of new AI methodologies that improve scientific modeling, reasoning, and design. You will work on research questions with both theoretical depth and practical relevance, while collaborating with a global team of engineers, scientists, and AI specialists. We believe in pushing the boundaries of what is possible and continuously seek to redefine the intersection of AI, uncertainty-aware modeling, and scientific computation. If you're excited by technically demanding research and want to help shape the future of AI for engineering and hardware, we want to hear from you. Worried about not meeting every qualification? Studies show that women and people of color are less likely to apply for jobs unless they meet every listed requirement. 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.