The fundamental theorem of algebra asks whether a root exists, yet its proof hunts for a lowest point. Following that proof: how root-finding and optimization rewrite into each other, how the landscape changes when they do, and why the complex plane has no false pits.
The library reported 1,254 seats in 2018. Monash Malaysia now reports about 13,800 students. Put the university's old seats-per-student comparison, peak demand and a basic 80 percent chance of finding a seat into the same model, and the conclusion is simple: clearing bags can reduce waste, but it cannot erase a capacity gap created by enrollment growth.
From learning proofs by hand to AlphaGo, automated research, and the possibility of papers becoming reproducible repositories: a reflection on our place in academia and the fear of becoming unnecessary.
Midterm reflections on my Final Year Project: when mathematical intuition clashes with the empirical alchemy of modern AI, on lack of supervision, volatile experiments, post-hoc narrative tax, and long-term academic aspirations.
A position piece on why linguistics never left my study of AI, math, and CS: the same instinct for modeling structure through pattern shows up in language taxonomy, syntax trees, categorial grammar, and the old fight between linguists and statisticians in NLP.
A learning note on the shared correction pattern behind gradient descent, temporal difference learning, stochastic approximation, and Bellman fixed-point methods.
A concrete design note on my personal AI workbench: owners, state flows, cron maintenance, instruction boundaries, and a Karpathy-style Obsidian second brain adapted for daily work.
A learning-oriented overview of how diffusion models moved from probabilistic denoising to practical visual-generation systems.
A short learning note on how word representations led to attention, self-attention, and Transformers.
A practical system note on routing scattered LLM API keys through a self-hosted New API gateway, then exposing that gateway across devices with Tailscale.
A historical note on what my OpenCode setup taught me about agent roles, permission boundaries, protocol interfaces, and cross-platform configuration.
A long-form learning note on data abstraction, from Java interfaces and C++ concepts to TypeScript unions, Kotlin sealed hierarchies, and Haskell algebraic data types.
A historical note on how I used Nix, Home Manager, and modular configuration to keep a NixOS desktop and macOS laptop aligned.
A short note on why I keep a public research notebook instead of treating writing, notes, and project traces as separate scraps.