Candidate Requirements

We seek candidates with strong backgrounds in both mathematics and AI.

Required qualifications include:

• Strong mathematical background, particularly in algebraic geometry, differential geometry, or related areas.
• Knowledge of deep learning concepts and transformer architectures.
• Programming skills in Python and PyTorch.

Additional valued qualifications:

• Experience with geometric invariant theory, moduli spaces, or symplectic geometry.
• Practical experience with vision transformers and/or attention mechanisms.
• Research background in AI interpretability, fairness, or model adaptation.
• Previous research publications or projects.
• Strong recommendation letters from academic supervisors or research mentors.
• Interest in interdisciplinary research combining mathematics and AI.

• Completed studies Bachelor + Master (finished or ongoing) totalling at least 300 ECTS in European programs (standard requirement for doctoral program admission in Spain).
• Degree completion after January 1, 2020 (exceptions apply for specific circumstances as detailed in the official call).
• Admission or pre-admission to a doctoral program for the 2025-2026 academic year.

Application Timeline

• Applications must be submitted through the UAM General Registry between July 2nd  and July 15th  2025. Required documentation includes academic transcripts, curriculum vitae, and supporting documents as specified in the official call.

Contact Information

• For questions about the research project and PhD admission, interested candidates may contact the project supervisors (emilio.franco@uam.es, marcos.escudero@uam.es) attaching a cv. For administrative questions regarding the application process, please consult the call.

We strongly encourage applications from all qualified candidates regardless of gender, nationality, or background.