Carlos Zapata-Carratalá

Researcher · Director · Educator · Founder

Carlos
Zapata-Carratalá

My research focuses on the mathematical foundations of science, and today centres on Arity Science: mathematical and computational frameworks for higher-order systems, from n-ary algebras and hypergraphs to higher-arity categories.

CurrentlyResearch Director, Arity Science

Portrait of Carlos Zapata-Carratalá

Researching deep structure

Higher-arity algebra, hypergraphs and the foundations of mathematical physics.

Building communities

Founder of SEMF, the Society for Multidisciplinary and Fundamental Research.

Innovating in education

University lecturing, summer schools and the pedagogy of linear algebra.

Exploring audiovisual aesthetics

Harpsichord, improvisation, film, 3D art and game design.

Carlos sketching hypergraph diagrams on a glass board

Projects

Research programme

Arity Science

Mathematical and computational frameworks for higher-order systems: n-ary algebras, hypergraphs and higher-arity categories.

arity.science →Game design

Entropy Studios

The board and card game studio I founded in Alicante, home of Entropy TCG and Mine, Mine, Mine!. I lead its game design and direction.

Games →Community

SEMF

The Society for Multidisciplinary and Fundamental Research, which I founded: colloquia, conferences and interdisciplinary summer schools.

semf.org.es →Volunteering

Mission to Ukraine

Delivering a truck for medical evacuations and drone-detection equipment to Ukrainian defenders, documented on video.

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Current role

Research Director, Arity Science

After leading the Causality, Observers and Computation project at the Wolfram Institute, I now pursue independent research as Research Director of Arity Science, a programme on the compositional structure of higher-order systems.

Research →

Recent publications

All publications →