Thoughts
Ideas, observations, and insights exploring the beautiful connections between mathematics and physics.
Differential Forms: Building Intuition
An intuitive introduction to differential forms, explaining what they measure and why they're natural for integration on manifolds.
Georg Cantor — Discovering Sets and Infinity
A discovery-path tutorial through Cantor’s key ideas: derived sets, countability, uncountability, power sets, and transfinite numbers.
group actions, orbit-stabilizer theorem, sylow theorems
What is a group- as view from what a group does to a set. What kind of groups are possible?
Walter Lewin's MIT Lectures
A high‑energy invitation into Walter Lewin’s legendary MIT physics lectures—pure intuition, laser‑clear demos, and a front‑row seat to how physics actually feels.
Quaternions from First Principles
A conceptual introduction to quaternions, built from geometric and algebraic motivations, followed by concrete representations and examples, especially their role in rotations.