John Bourke

School of Mathematics and Statistics
Masaryk University
Brno 6000
Czech Republic
bourkej@math.muni.cz

Publications

Skew structures in 2-category theory and homotopy theory . To appear in Journal of Homotopy and Related Structures.

The Gray tensor product via factorisation (with Nick Gurski). Submitted.

Algebraic weak factorisation systems II: categories of weak maps (with Richard Garner), Journal of Pure and Applied Algebra 220 (2016), no. 1, 148-174.

Algebraic weak factorisation systems I: accessible AWFS (with Richard Garner), Journal of Pure and Applied Algebra 220 (2016), no. 1, 108-147.

A cocategorical obstruction to tensor products of Gray-categories (with Nick Gurski), Theory and Applications of Categories 30 (2015), no. 11, 387-409.

Two-dimensional regularity and exactness (With Richard Garner), Journal of Pure and Applied Algebra 218 (2014), no. 7, 1346-1371.

Two-dimensional monadicity, Advances in Mathematics 252 (2014) 708-747.

A colimit decomposition for homotopy algebras in Cat, Applied Categorical Structures 22 (2014), no. 1, 13-28.

On semiflexible, flexible and pie algebras (with Richard Garner), Journal of Pure and Applied Algebra 217 (2013), no. 2, pages 293–321.

Other things

Codescent objects in 2-dimensional universal algebra , Phd Thesis, University of Sydney, 2010.

PSSL95

The 95th Peripatetic Seminar on Sheaves and Logic was held in Brno in April 2014. Here is the webpage and here is the conference photo.

TEACHING

Sbírka príkladu k predmetu Okruhy a moduly .