Blog Posts 📝

Thoughts, tutorials, and insights on technology, AI, math, and education

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📅 September 16, 2025
AI & Trust

Building Trust: Analogy Between Maths and Programming

From Euclid to Gödel to Von Neumann: exploring how mathematics sought trust-by-design through axioms and proofs, and how we can apply these lessons to build trustworthy AI systems with layered architectures. A theoretical approach to creating reliable AI developer tools that learn from mathematical foundations.

AI Trust Mathematics Gödel
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⏱️ 10 min
🧮
📅 October 2, 2025
AI & Math

Matrix Multiplication with AlphaEvolve

A theoretical description of fast matrix multiplication: Strassen’s classic algorithm and DeepMind’s new AlphaEvolve 4×4 scheme, then task formulation of benchmarking and analyzing their trade-offs. Learn how tensor decompositions reduce scalar multiplications and why search for better algorithms is hard — but still possible.

Algorithms Matrix Multiplication AlphaEvolve
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⏱️ 21 min
🤖
📅 August 11, 2025
AI & Math

AlphaGo Moment for Olympiad Maths

An experimental evaluation of state-of-the-art large language models (GPT, DeepSeek, Gemini, Claude, and Grok) on challenging university-level mathematics problems from the International Mathematics Competition (IMC) 2025. The goal is to assess how close publicly available AI models have come to human-level mathematical reasoning and problem-solving capabilities.

LLM Math 2025 International Mathematics Competition
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⏱️ 10 min
⚽
📅 September 3, 2025
Math & Research

Mini-Research at Home: Soccer Ball

Why does a soccer ball have exactly 12 pentagons? A fascinating exploration of geometry, topology, and the mathematics behind everyday object. Learn how Euler's formula and the Gauss-Bonnet theorem explain the structure of fullerenes and discover connections between curvature and polyhedra.

Geometry Topology Euler's Formula Gauss-Bonnet Fullerenes
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⏱️ 10 min

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