• 254 Citations
  • 8 h-Index
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  • 7 Similar Profiles
Factorization System Mathematics
Monads Mathematics
Enriched Category Mathematics
Colimit Mathematics
Exactness Mathematics
Type Theory Mathematics
Functor Mathematics
Bicategory Mathematics

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Projects 2011 2022

Monoidal categories and beyond: new contexts and new applications

Street, R., Verity, D., Lack, S., Garner, R. & MQRES Inter Tuition Fee only, M. I. T. F. O.

30/06/16 → …

Project: Research

Structural homotopy theory: a category-theoretic study

Street, R., Lack, S., Verity, D., Garner, R., MQRES, M., MQRES 3 (International), M. 3., MQRES 4 (International), M. & MQRES (International), M. (.


Project: Research

Generalised Topological Spaces

Garner, R. & Newton, J.


Project: Research

Research Output 2006 2019

  • 254 Citations
  • 8 h-Index
  • 39 Article
  • 1 Conference proceeding contribution
  • 1 Comment/opinion

Bousfield localisation and colocalisation of one-dimensional model structures

Balchin, S. & Garner, R., 15 Feb 2019, In : Applied Categorical Structures. 27, 1, p. 1-21 21 p.

Research output: Contribution to journalArticleResearchpeer-review

Model Category
One-dimensional Model
Model structures
Adjoint Functors

An embedding theorem for tangent categories

Garner, R., 7 Jan 2018, In : Advances in Mathematics. 323, p. 668-687 20 p.

Research output: Contribution to journalArticleResearchpeer-review

Embedding Theorem
Tangent line
Enriched Category
Tangent vector
Differential Geometry

An enriched view on the extended finitary monad–Lawvere theory correspondence

Garner, R. & Power, J., 27 Feb 2018, In : Logical Methods in Computer Science. 14, 1, p. 1-23 23 p., 16.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
Enriched Category

Shapely monads and analytic functors

Garner, R. & Hirschowitz, T., 1 Feb 2018, In : Journal of Logic and Computation. 28, 1, p. 33-83 029.

Research output: Contribution to journalArticleResearchpeer-review


Algebraic weak factorisation systems I: accessible AWFS

Bourke, J. & Garner, R., 1 Jan 2016, In : Journal of Pure and Applied Algebra. 220, 1, p. 108-147 40 p.

Research output: Contribution to journalArticleResearchpeer-review

Factorization System