Gerald Höhn

Sporadic Groups · Vertex Operator Algebras · Mathematical Physics

My Approach to AI in Mathematics

My work tries to make frontier models genuinely useful for research by combine the creative, pattern-matching capabilities of LLMs with the logical rigor of computation and verification.

Projects

  • Pachner-move simplification (exploratory)

    notes

    Finding potential counter-examples for the 4-dimensional smooth Poincaré Conjecture—using deep reinforcement learning. The idea is to frame the problem as a game where an AI agent, built on Graph Neural Networks, learns a policy to simplify complex triangulations by choosing optimal sequences of Pachner moves.

  • Mini-lecture series: Peg Solitaire and basic AI ideas

    teaching

    Three short talks introducing convolutional nets, Q-learning, and transformers by way of a concrete game example.

    → Lecture 1 slides (PDF)
  • VOA/MTC database

    data

    Curated tables for VOAs and modular tensor categories. A compact, checkable resource for routine lookups.

    → Access