Carlos Zapata-Carratala Affiliated Research Fellow

Carlos has a background in physics and mathematics, he completed his undergraduate training at the University of Valencia and Imperial College London, then pursued graduate studies in mathematical physics receiving a masters from the University of Cambridge and a PhD from the University of Edinburgh. During his time in Edinburgh, Carlos has worked as a research assistant to Sir Michael Atiyah and a teaching fellow in the School of Mathematics. In parallel with his research and teaching, Carlos has been running the Society for Multidisciplinary and Fundamental Research, of which he is the founder and current president. Carlos' research focuses on the mathematical foundations of science, particularly in the areas of physics and complexity. At present, Carlos is investigating the realm of higher arity structures in science, mathematics and art with a particular focus on ternary ones. This deeply multidisplinary project involves ideas with roots in simple algebraic objects that, due to their fundamental nature, manifest in fields as diverse as molecular biology, token economics, cognitive science, nuclear physics, data science, knot theory, music or game design. Recently he has developed Dimensioned Algebra, a formal mathematical framework that accounts for the dimensional analysis of physical quantities in mathematical models of science, providing an explicit point of contact between applied metrology and abstract mathematics. In the past he was worked on the foundations of classical and quantum mechanics, application of symplectic/contact geometry to mechanics and thermodynamics and generalizations of symmetry via Lie groupoids. Carlos is a keen keyboard player, involved in historical baroque music performance and other forms of musical improvisation, with an interest in kinetic art, cinematography, sound design and competitive gaming.


United Kingdom

Institutional Affiliation

Society for Multidisciplinary and Fundamental Research

Research Topics & Interests

  • Mathematical Foundations of Physics
  • Algebra and Finite Structures
  • Cognitive Science and Computation
  • Complexity