Blog
Notes on mathematics, AI, and the ideas I find worth writing about.
Graph Theory Series
A series exploring the foundations and applications of graph theory — from basic definitions to algorithms and real-world uses.
2 posts
Introduction to Graph Theory
What is a graph, and why does it matter? We start from scratch — vertices, edges, and the surprising power of a simple abstraction.
Graph Traversals: BFS and DFS
How do you visit every node in a graph? We explore two fundamental strategies — breadth-first and depth-first search — and when to use each.
Artificial Intelligence Series
A series on the ideas behind modern AI — neural networks, optimization, and the math that makes machine learning work.
2 posts
What Is a Neural Network?
Neural networks power modern AI — but what are they, really? We build intuition from scratch, starting with a single neuron.
Backpropagation: The Engine of Learning
How does a neural network know which weights to adjust? Backpropagation uses the chain rule to efficiently compute gradients across every layer.
Mathematics Series
Deep dives into mathematical ideas — analysis, number theory, and the kind of posts that make familiar things feel surprising again.
1 post
The Exponential Function
e wasn't invented — it was found independently from three separate problems in three different centuries.