John Bourke

John Bourke is an Associate Professor in the Department of Mathematics and Statistics at Masaryk University, Brno, Czech Republic. His research lies at the intersection of category theory, homotopy theory, and algebraic structures, with a focus on higher categorical frameworks and their applications.

His recent publications explore advanced topics such as 2-categorical infinity-cosmoi, skew monoidal categories, and algebraic weak factorisation systems. These works contribute to understanding enriched and higher-dimensional categorical structures, often intersecting with homotopy theory and universal algebra.

Research interests include category theory, higher category theory, homotopy theory, algebraic structures, and mathematical logic. His work frequently examines the interplay between categorical algebra and homotopical methods, as evidenced by his contributions to algebraic weak factorisation systems and Gray-categories.

Scientific Engagement involves editorial roles at the Journal of Pure and Applied Algebra and Theory and Applications of Categories, as well as organizing the Masaryk University Algebra Seminar and Peripatetic Seminars on Sheaves and Logic (PSSL 95 and 106).