## 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 .