: Mathematician & AI engineer : category theory : universal algebra : topology & sheaf theory : formal verification : foundation-model infrastructure :
now
now: may 2025 — Lean4 formalization (part-time), march 2025 — AMC/AIME Lean4 labeling, august 2024 — Weekly category seminars, march 2024 — Research grant 2024
:: may 2025 — Lean4 formalization (part-time) :: march 2025 — AMC/AIME Lean4 labeling :: august 2024 — Weekly category seminars :: march 2024 — Research grant 2024 ::
affiliations
affiliations: Harmonic, Project Numina, University of Cape Town, University of the Witwatersrand, Kili Technology, Lean Prover community, SAMS
::: Harmonic ::: Project Numina ::: University of Cape Town ::: University of the Witwatersrand ::: Kili Technology ::: Lean Prover community ::: SAMS :::
Notes on topological, lax-topological (semi-topological/solid), and topologically algebraic functors via structured sources/sinks, classical characterizations, and the quantaloid-enriched “topological = total” theorem.
A guide to describing and visualizing complex topological spaces such as tori, Klein bottles, and Möbius strips using gluing diagrams and geometric intuition. Explores identification spaces.
Using Tokieda’s overflow heuristic and isotopy in R^3, show the double-twisted Mobius strip cannot isotope to the ordinary strip (Hopf link obstruction).