The Neuron: AI Explained

Building Mathematical Superintelligence: A Stanford Dropout's $64M Bet on AI Math

Dec 30, 2025
Karina Hong, a Stanford dropout and founder of Axiom Math, is on a mission to create a self-improving mathematical reasoning AI. She reveals how her team tackled a 130-year-old problem and disproved a longstanding conjecture, showcasing the power of math as a foundation for fields like coding and finance. Karina discusses the challenges of auto-formalizing proofs and highlights Axiom's vision of an IDE co-pilot that aids researchers and traders alike. The exciting intersection of neuroscience and AI is explored, promising a revolutionary leap in mathematical discovery.
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ANECDOTE

Grid Cells Reveal Hexagonal Math

  • Carina recounts studying grid cells at Oxford and linking hexagonal firing patterns to energy-minimizing tilings.
  • She highlights this as a striking instance of deep math appearing in neuroscience.
INSIGHT

What Mathematical Superintelligence Means

  • Carina Hong defines mathematical superintelligence as an AI that proves theorems, conjectures, and self-improves by closing human gaps in verifying technical lemmas.
  • She argues such a system can both match top mathematicians and inspire superhuman discovery at scale.
INSIGHT

Data Scarcity And Auto-Formalization Bottlenecks

  • Major bottlenecks for AI math are data scarcity and auto-formalization, since Lean proof data is tiny compared to code corpora.
  • Without reliable auto-formalization, models can't scale because informal proofs in English won't convert to formal Lean code.
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