​MathematicalTalent.com: The Go-To Hub for AI-Focused Mathematical Talent.

This week, OpenAI announced a remarkable breakthrough: their new O3 model achieved a 25% success rate on the FrontierMath benchmark. This is an impressive feat given that the benchmark was introduced only a while ago and poses challenges typically reserved for PhD-level mathematicians. While 25% may seem modest at first glance, it represents a significant stride forward. In the spirit of Neil Armstrong’s iconic words, this could be considered “One small step for AI and a giant leap in humanity’s quest toward AGI.”

This progress has energised our team around a compelling question we’ve been pondering: should we shift our focus from AGI (Artificial General Intelligence) to a more expansive concept: Super AGI? By “Super AGI,” we mean a collective intelligence comprising multiple specialised AGI agents, each an expert in a specific domain such as mathematics, physics, biology, chemistry, social sciences, and more. All working in concert toward a unified goal.

Moreover, we might look to religious analogies for inspiration. In Christianity, the concept of the Trinity describes one being—God—existing as three distinct persons: the Father, the Son, and the Holy Spirit. Analogously, one could imagine multiple specialised AGIs where each possessing unique capabilities. Then merging into a single, more profound intelligence. This multiplicity might address the complexity of human knowledge in a way that a single, monolithic AI cannot achieve on its own.

Below is an AI-generated pod produced based on the ideas above:

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New Course Alert for top AI Researchers

We’re excited to announce our upcoming career-focused specialisation bootcamp course on Lie Groups with Applications, designed to demystify the key mathematical concepts behind Lie Groups with a focus on their applications in both AI and Quantum Computing.

The course will be available on our e-learning platform starting January 22, 2025. As a special offer, Early Bird registration at 35% off is open until December 27th—right after Boxing Day!

• Early Bird link: https://quantumformalism.academy/lie-groups-with-applications.

Early bird sign-ups will also gain exclusive access to special preparatory sessions designed to review foundational topics, such as group theory, linear algebra and smooth manifolds.

Alternatively, you can gain access to the course by subscribing to our monthly 'Specialisation Plan'. This will also give you the access to the special preparatory sessions.

For this course, you will be guided by two exceptional mathematical instructors: Dr. Brian Hepler and Dr. Max Arnott. The instructors will provide a modern introduction to Lie theory through the lens of its applications in quantum computing and machine learning. Beginning with the foundational theory of matrix Lie groups and their associated Lie algebras, we’ll develop the key concepts of representation theory and the exponential map. We then demonstrate how these mathematical structures naturally emerge in quantum computing and in modern machine learning.

Below is a brief introductory video featuring Brian, where he shares his mathematical background and discusses the sections of the course he will be leading on:

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We wish you a Merry Christmas & Happy New Year!

Best wishes,

​Quantum Formalism (​QF) Academy​ Team

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