Theories of Everything with Curt Jaimungal
Theories of Everything with Curt Jaimungal
Theories of Everything
The AI Math That Left Number Theorists Speechless
2 hour 2 minutes Posted May 23, 2025 at 2:12 am.
Introduction to a New Paradigm
The Changing Landscape of Research
Categories of Machine Learning in Mathematics
Researchers: Birds vs. Hedgehogs
Personal Experiences with AI in Research
The Future Role of Academics
Presentation on the AI Mathematician
The Role of Intuition in Discovery
AI's Assistance in Vague Problem Solving
Newton and AI: A Historical Perspective
Literature Processing with AI
Acknowledging Modern Mathematicians
The Influence of Data on Mathematical Discovery
The Riemann Hypothesis and Its Implications
The BST Conjecture and Data Evolution
Collaborations and AI Limitations
The Future of Mathematics and AI
Image Processing and Mathematical Intuition
Visual Thinking in Mathematics
AI-Assisted Discovery in Mathematics
The Murmuration Conjecture and AI Interaction
Hierarchies of Difficulty
The Memoration Breakthrough
Understanding the BSD Conjecture
Diophantine Equations Explained
The Cubic Complexity
Neural Networks and Predictions
Breaking the Birch Test
The BSD Conjecture Clarified
The Role of AI in Discovery
The Memoration Phenomenon
PCA Analysis Insights
The Emergence of Memoration
Conjectures and AI's Role
Generalizing Biases in Mathematics
The Future of AI in Mathematics
The Brave New World of Discovery
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Head on over to https://cell.ver.so/TOE and use coupon code TOE at checkout to save 15% on your first order.
Get ready to witness a turning point in mathematical history: in this episode, we dive into the AI breakthroughs that stunned number theorists worldwide. Join us as Professor Yang-Hue Hi discusses the murmuration conjecture, shows how DeepMind, OpenAI, and EpochAI are rewriting the rules of pure math, and reveals what happens when machines start making research-level discoveries faster than any human could. AI is taking us beyond proof straight into the future of discovery.
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Timestamps:
Links Mentioned:
- Topology and Physics (book): https://amzn.to/3ZoneEn
- Machine Learning in Pure Mathematics and Theoretical Physics (book): https://amzn.to/4k8SXC6
- The Calabi-Yau Landscape (book): https://amzn.to/43DO7H0
- Yang-Hui’s bio and published papers: https://www.researchgate.net/profile/Yang-Hui-He
- A Triumvirate of AI-Driven Theoretical Discovery (paper): https://arxiv.org/abs/2405.19973
- Edward Frenkel explains the Geometric Langlands Correspondence on TOE: https://www.youtube.com/watch?v=RX1tZv_Nv4Y
- Stone Duality (Wiki): https://en.wikipedia.org/wiki/Stone_duality
- Summer of Math Exposition: https://some.3b1b.co/
- Machine Learning meets Number Theory: The Data Science of Birch–Swinnerton-Dyer (paper): https://arxiv.org/pdf/1911.02008
- The L-functions and modular forms database: https://www.lmfdb.org/
- Epoch AI FrontierMath: https://epoch.ai/frontiermath/the-benchmark
- Mathematical Beauty (article): https://www.quantamagazine.org/mathematical-beauty-truth-and-proof-in-the-age-of-ai-20250430/
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