Research Notes

Connecting the dots

Research Journey November 16, 2025

The Research History of Omega Mod M: When a Bug Becomes a Paper

How a suspected coding error during baryogenesis research became a published number theory paper. The serendipitous discovery story, computational verification, and lessons in opportunistic research management.

10 min read
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Technical Deep Dive Interactive November 21, 2025

Why You Can't Average System Health

Discover why single metrics fail to capture complexity. Interactive dashboard demonstrates the mathematical proof that scalar averaging hides critical trade-offs in software, research, and beyond.

10 min read + dashboard
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Mathematics Explained Coming Soon

Fractional Laplacians for the Curious: Beyond the Abstract

What does "curvature correction to the spectral fractional Laplacian" actually mean? A gentle introduction to the concepts, the physics, and why it matters.

November 2025

More posts coming soon. Stay tuned!