Portfolio item number 1
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Posts by Collection
portfolio
Portfolio item number 2
Short description of portfolio item number 2
publications
Structures for Grothendieck Fibrations
Master Degree thesis, 2020
A comonad for Grothendieck fibrations
Published in Theory and Applications of Categories, 2024
Joint work with Emmenegger, Rosolini and Streicher.
Aspects of 2-dimensional Elementary Topos Theory
PhD thesis, 2024
Indexed Grothendieck construction
Published in Theory and Applications of Categories, 2024
Joint work with Elena Caviglia.
Pointwise Kan extensions along 2-fibrations and the 2-category of elements
Published in Theory and Applications of Categories, 2024
2-classifiers via dense generators and Hofmann-Streicher universe in stacks
Published in Accepted in Canadian Journal of Mathematics, 2024
Colimits in 2-dimensional slices
Published in Journal of Pure and Applied Algebra, 2024
On extensions of Cohen Structure Theorem
Preprint, 2025
Joint work with Elena Caviglia and Amartya Goswami.
μ-elements: An extension of essential elements
Preprint, 2025
Joint work with Elena Caviglia and Amartya Goswami.
Fibrational approach to Grandis exactness for 2-categories
Preprint, 2025
Joint work with Elena Caviglia and Zurab Janelidze.
Rectangular torsion theories
Preprint, 2025
Joint work with Elena Caviglia and Zurab Janelidze.
talks
Abelian categories and derived functors
Published:
Torsors in Étale Cohomology
Published:
Derived Categories and Maximal Cohen-Macaulay modules
Published:
Two lectures Slides
Grothendieck fibrations
Published:
Weighted limits and their conicalization
Published:
Three lectures
Introduction to stacks
Published:
Two-dimensional classifiers in stacks
Published:
Colimits in 2-dimensional slices
Published:
A comonad for Grothendieck fibrations
Published:
Subobject classifiers in dimension 1 and 2
Published:
Grothendieck 2-topoi are elementary 2-topoi
Published:
Indexed Grothendieck construction
Published:
Towards elementary 2-toposes
Published:
teaching
Logic
Undergraduate course, University of Leeds, UK, 2021
Tutor and marker
Groups and Vector spaces
Undergraduate course, University of Leeds, UK, 2021
Tutor and marker plus exams
Introduction to Geometry
Undergraduate course, University of Leeds, UK, 2021
Tutor and marker
Logic
Undergraduate course, University of Leeds, UK, 2022
Tutor and marker plus exams
Rings and Polynomials
Undergraduate course, University of Leeds, UK, 2022
Tutor and marker
Mathematics for Engineering
Undergraduate course, University of Manchester, UK, 2022
Teaching assistant plus exams
Calculus and Mathematical Analysis
Undergraduate course, University of Leeds, UK, 2023
Tutor and marker
Numbers and Vectors
Undergraduate course, University of Leeds, UK, 2023
Tutor and marker
Adjoint School 2024
Postgraduate research school, University of Oxford, UK, 2024
Teaching assistant for Dorette Pronk’s project on double fibrations
Category Theory
Honours and Masters course, South African Theory and Computational School, South Africa, 2024
Tutor, with creation of exercise sheets
Cosupervisor of Okhwathisa Nemunzhele
Masters level, Stellenbosch University, South Africa, 2025