# Building an AI Mathematician with Carina Hong - #754

Page: https://stenobird.com/podcast/twiml-ai-podcast/building-an-ai-mathematician-with-carina-hong-754
Text version: https://stenobird.com/podcast/twiml-ai-podcast/building-an-ai-mathematician-with-carina-hong-754.md
Podcast: [The TWIML AI Podcast (formerly This Week in Machine Learning & Artificial Intelligence)](https://stenobird.com/podcast/twiml-ai-podcast)
Published: 2025-11-04T21:30:00+00:00
Episode link: https://twimlai.com/podcast/twimlai/building-an-ai-mathematician/
Audio file: https://pscrb.fm/rss/p/traffic.megaphone.fm/MLN1309151606.mp3?updated=1762355698
Processing state: processed
JSON: https://stenobird.com/v1/public/podcasts/twiml-ai-podcast/episodes/building-an-ai-mathematician-with-carina-hong-754
Duration seconds: 3352

## Resource

In this episode, Carina Hong, founder and CEO of Axiom, joins us to discuss her work building an "AI Mathematician." Carina explains why this is a pivotal moment for AI in mathematics, citing a convergence of three key areas: the advanced reasoning capabilities of modern LLMs, the rise of formal proof languages like Lean, and breakthroughs in code generation. We explore the core technical challenges, including the massive data gap between general-purpose code and formal math code, and the difficult problem of "autoformalization," or translating natural language proofs into a machine-verifiable format. Carina also shares Axiom's vision for a self-improving system that uses a self-play loop of conjecturing and proving to discover new mathematical knowledge. Finally, we discuss the broader applications of this technology in areas like formal verification for high-stakes software and hardware. The complete show notes for this episode can be found at https://twimlai.com/go/754.

## Actions

- request_transcript: `POST https://stenobird.com/v1/public/podcasts/twiml-ai-podcast/episodes/building-an-ai-mathematician-with-carina-hong-754/transcription-requests` — Idempotently request low-priority transcript generation for this episode.
- read_markdown: `GET https://stenobird.com/podcast/twiml-ai-podcast/building-an-ai-mathematician-with-carina-hong-754.md` — Read the agent-friendly Markdown representation of this episode resource.

A page view does not enqueue transcription. Agents should invoke `request_transcript` explicitly when they need this episode processed.

## Transcript

Full transcripts are not published on public pages unless there is a clear rights basis.