Broken Symmetry
A place for exploring the beautiful connections between mathematics and other parts of reality. Thoughts, rambles, and explorations inspired by foundational texts and papers.
Latest Thoughts
Ideas, observations, and insights
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.
About This Site
The name "Broken Symmetry" reflects a central theme in modern physics and mathematics: interesting structure often emerges when perfect symmetry is broken. First we must understand symmetry, and then we can understand how it is broken. This site documents my journey through foundational texts, offering thoughts, rambles, and explorations between different areas of mathematics and other parts of reality.