Ramón y Cajal Fellow
Department of Mathematics
Universidad Autónoma de Madrid (Spain)

My research is on algebraic and complex geometry, with focus on birational geometry of varieties of Fano type, moduli spaces and computational algebraic geometry.

I am also an Affiliated Researcher at Institute of Mathematical Sciences (ICMAT) and an Honorary Senior Lecturer at the School of Mathematics, Statistics and Actuarial Science of the University of Essex.

Current team members

• Lufeng Li (PhD Student, 2023-now).
• Charlotte Satchwell (PhD Student, 2023-now).

Former team members

• Tiago Duarte-Guerreiro (Senior Research Officer, 2022-23).
• Robert Hanson (Senior Research Officer, 2024-2025).
• Theo Papazachariou (PhD Student, 2019-22).

I am always interested in hearing from potential PhD students and postdocs, so feel free to contact me directly if you want to work in my group.

NEWS

• 23-09-2026: I have joined the Institute of Mathematical Sciences (ICMAT) a joint venue of the Spanish National Research Council, Universidad Autónoma de Madrid, Universidad Complutense de Madrid and Universidad Carlos III, as an Affiliated Researcher.
• 08-09-2026: I have achieved accreditation to Profesor Titular (akin to Associate Professor), a qualification given by ANECA.
• Since 1st September 2026, together with Mario García-Fernández (ICMAT), I am co-PI of a “Generación del Conocimiento” grant by the Spanish Ministry for Science, Innovation and Universities, for the project “DUKES: Dualities, K-stability, and special holonomy“. The project has a sister project, “HISMO: Higgs bundles, integrable systems and moment-map equations” led by Óscar García-Prada and Luis Álvarez Cónsul (ICMAT). The two projects are under a shared structure called “GEMS: Geometric structures, moduli spaces, and dualities”. A website for the project will be published soon.
  
  We expect to supervise a PhD student at Universidad Autónoma de Madrid under a 4-year contract supported by the project . Possible topics include birational geometry, K-stability, computational Geometric Invariant Theory and moduli of varieties. The start date will be at some point in 2027 (probably before summer 2027). There will be a very short application window. If you want me to keep you in the loop about application deadlines and conditions, please write me an e-mail.

Contact

E-mail:	jesus (dot) martinezg (at) uam (dot) es
Office:	305, Modulo 17, Facultad de Ciencias, Campus de Cantoblanco, Universidad Autónoma de Madrid.
Address:	Dr Jesus Martinez Garcia Departamento de Matemáticas Facultad de Ciencias, módulo 17 Universidad Autónoma de Madrid Ciudad Universitaria de Cantoblanco 28049-Madrid (Spain)