Portfolio item number 1
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Posts by Collection
portfolio
Portfolio item number 2
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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
Colimits in 2-dimensional slices
Published in Journal of Pure and Applied Algebra, 2025
2-classifiers via dense generators and Hofmann-Streicher universe in stacks
Published in Canadian Journal of Mathematics, 2025
Comonadic approach to pretorsion theories
Preprint, 2026
Joint work with Elena Caviglia and Zurab Janelidze.
From subtractive ideals of semirings to deductive and inductive sets in general algebras
Preprint, 2026
Joint work with Caviglia, Goswami, Janelidze and Shaumbwa.
μ-elements: An extension of essential elements
Published in Algebra Universalis, 2026
Joint work with Elena Caviglia and Amartya Goswami.
Unicoherence in locales
Published in Algebra Universalis, 2026
Joint work with Elena Caviglia and Cerene Rathilal.
Rectangular torsion theories
Published in Applied Categorical Structures, 2026
Joint work with Elena Caviglia and Zurab Janelidze.
Fibrational approach to Grandis exactness for 2-categories
Published in Journal of the London Mathematical Society, 2026
Joint work with Elena Caviglia and Zurab Janelidze.
On extensions of Cohen Structure Theorem
Published in Journal of Algebra, 2026
Joint work with Elena Caviglia and Amartya Goswami.
Primitive quantales
Published in Journal of Algebra and Its Applications, 2026
Joint work with Elena Caviglia and Amartya Goswami.
Generalized action monads and descent
Preprint, 2026
Joint work with Elena Caviglia and Sophie Marques.
Clifford semigroups and the monoidal Grothendieck construction
Preprint, 2026
Joint work with Elena Caviglia, Peter F. Faul and Graham Manuell.
Double orthogonal factorization systems
Published in Accepted in Applied Categorical Structures, 2026
Joint work with Aberlé, Caviglia, Kukla, Maldonado, Pronk and Ralaivaosaona.
Detecting Essential Ideals in Polynomial Rings
Preprint, 2026
Joint work with Amartya Goswami.
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:
Unicoherence in locales
Published:
What is 2-dimensional categorical algebra?
Published:
What is 2-dimensional categorical algebra?
Published:
Double orthogonal factorization systems
Published:
Primitive quantales
Published:
teaching
Logic
Undergraduate module, University of Leeds, UK, 2021
Tutor and marker
Groups and Vector spaces
Undergraduate module, University of Leeds, UK, 2021
Tutor and marker plus exams
Introduction to Geometry
Undergraduate module, University of Leeds, UK, 2021
Tutor and marker
Logic
Undergraduate module, University of Leeds, UK, 2022
Tutor and marker plus exams
Rings and Polynomials
Undergraduate module, University of Leeds, UK, 2022
Tutor and marker
Mathematics for Engineering
Undergraduate module, University of Manchester, UK, 2022
Teaching assistant plus exams
Calculus and Mathematical Analysis
Undergraduate module, University of Leeds, UK, 2023
Tutor and marker
Numbers and Vectors
Undergraduate module, 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 module, South African Theory and Computational School, South Africa, 2024
Tutor, with creation of exercise sheets
Supervisor of Okhwathisa Nemunzhele
Master level, jointly with Zurab Janelidze, Stellenbosch University, South Africa, 2025
Foundations of Abstract Mathematics II
Undergraduate module, Stellenbosch University, South Africa, 2026
Lecturer
Supervisor of undergraduate research
Group of 5 students, Stellenbosch University, South Africa, 2026