Number Theory enpowers the World - AI, Cryptography, Otimization

Title: Number Theory Empowers the World: AI, Cryptography,
and Optimization

Description:
This talk presents how a 45-year-old mathematical discovery
in number theory—specifically Egyptian fraction decomposition
methods—is solving critical problems across three domains:

1. CRYPTOGRAPHY: Structural integrity verification for

cryptographic keys (RSA, post-quantum, blockchain)
that detects vulnerabilities traditional PKI audits miss

2. AI OPTIMIZATION: Novel approaches to transformer

attention mechanisms offering 10-100× computational
efficiency improvements

3. GENERAL OPTIMIZATION: New algorithmic frameworks for

resource allocation, network routing, and complex
scheduling problems

The presentation demonstrates how fundamental mathematical
research—originally focused on the unsolved Erdős-Straus
Conjecture—has unexpected cross-domain applications in
modern computing challenges.

Drawing on 45 years of research under Carl Pomerance
(Dartmouth/ University of Georgia) and Edwin Moise (Harvard/ Queens College), this talk shows
how deep mathematical structures provide computational
advantages that contemporary algorithms miss.

Key takeaways:

• How Egyptian fraction theory applies to modern computing
• Practical applications in cryptographic security and
  government infrastructure
• Potential AI efficiency breakthroughs from number-theoretic
  methods
• Why fundamental mathematics matters for technological innovation

Suitable for: AI researchers, security engineers,
optimization specialists, and anyone interested in the
intersection of pure mathematics and practical computation.