Pascual Gainza

Pascual Gainza is a Professor at the Polytechnic University of Catalonia (UPC) in the Department of Applied Mathematics I, part of the School of Industrial Engineering of Barcelona. His research focuses on algebraic geometry, algebraic topology, homological algebra, K-theory, and category theory. He has been a key member of research groups like GEOMVAP, contributing to projects such as Grup de Geometria de Varietats i Aplicacions. He has published extensively in journals like Collectanea Mathematica and the Journal of Pure and Applied Algebra, with notable works on Cartan-Eilenberg categories and homotopical algebra.

His work bridges historical mathematical concepts (e.g., Gauss’s contributions) with modern algebraic structures. He has reviewed seminal texts, such as Category Theory, and contributed to educational resources in geometry. His research spans over three decades, with grants from national and regional programs in Spain.