# www.ratio21.com > AI-optimized mirror of www.ratio21.com containing 1 pages totalling 496 words of clean markdown content, structured data, and semantic HTML. Original source: https://www.ratio21.com/. Last updated: 2026-04-17T00:55:39.390Z. Each page is available as HTML (with JSON-LD structured data) and Markdown (text-only, ideal for LLMs and RAG). ## Homepage - [Cached Page](/site-root.html): Amol Sarva teaches entrepreneurship at Columbia University and has cofounded startups including Virgin Mobile USA, Peek, Halo Neuroscience, Knotel, and Popular Change. He studied cognitive science for his Ph.D. at Stanford with an undergraduate degree from Columbia. He is a backer, advisor, and mentor at 50+ companies (496 words) ## Resources - [Full Page Index](/index.html): Browse all cached pages with rich metadata - [About This Cache](/content/about.html): Methodology, technical details, and usage guidelines - [XML Sitemap](/content/sitemap.xml): Machine-readable sitemap for crawler discovery - [Robots.txt](/content/robots.txt): Crawler directives