Ph.D. in Mathematics
Pseudomonads and Descent
- Period October 2012 to September 2017
- Supervisor Professor Maria Manuel Clementino
- Committee Martin Hyland, Marco Mackaay, Lurdes Sousa, and Peter Beier Gothen.
- Links Thesis material on arXiv; TID Portugal: 101570422.
Main themes
Pseudomonads Grothendieck descent theory Biadjoint triangle theorems Lax algebras Pseudo-Kan extensions Freely generated categorical structures Presentations of low-dimensional categories Coherence Two-dimensional category theory
Publications related to the Ph.D.
- On lifting of biadjoints and lax algebras. Categories and General Algebraic Structures with Applications, 9(1), 29–58, 2018. (arXiv)
- Pseudo-Kan extensions and descent theory. Theory and Applications of Categories, 33, 390–444, 2018. (arXiv)
- On biadjoint triangles. Theory and Applications of Categories, 31, 217–256, 2016. (arXiv)
- Freely generated n-categories, coinserters and presentations of low dimensional categories.