> whoami

name: Dr. Yaé Ulrich Gaba
title: Pure Mathematician & AI Researcher
location: Kigali, Rwanda 🇷🇼
email: [email protected]
org: Data Science Makers
fields:
  - Topological Data Analysis
  - Reinforcement Learning
  - Metric Geometry & Nonlinear Analysis
  - Scientific Computing
  - Cloud, DevOps & AI Infrastructure
  - Neuro-symbolic Systems & Computational Algebra
mission: Turning abstract ideas into robust algorithms,
         teaching materials, and open research tools.

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🔬 Researcher profile

"The future of AI is topological, geometric, and mathematically rigorous."

I'm an AI/ML researcher with a deep mathematical background, working at the intersection of pure mathematics and modern AI. I bridge topological data analysis, metric geometry, and reinforcement learning — turning deep theoretical insights into robust algorithms, open research tools, and educational programs.

🌀 Topological Data Analysis	🤖 Reinforcement Learning	🧮 Nonlinear Analysis
Persistent homology, geometric foundations	Bellman operators, value function topology	Bipolar metric spaces, convergence
📐 Metric Geometry	📈 Mathematical Finance	🧠 Neuro-symbolic AI
Quasi-uniform spaces, asymmetric structures	Dynamical systems, stochastic models	Computational algebra, hybrid systems

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📄 Featured research

⭐ Topological Foundations of Reinforcement Learning A geometric and topological view of Bellman landscapes using persistent homology — revealing hidden structural properties of value functions in reinforcement learning.

⭐ Quasi-uniform Type Spaces Exploring asymmetric structures governing convergence, metric generalizations, and their applications to nonlinear analysis and fixed-point theory.

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🛠️ Tools & technologies

Languages & scientific computing

Infrastructure & DevOps

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📊 GitHub analytics

  

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🔭 What I'm working on

┌──────────────────────────────────────────────────────────┐
│                    2025–2026 Roadmap                      │
├──────────────────────────────────────────────────────────┤
│  ◻ Advanced AI Professional Certification                │
│  ◻ TensorFlow Developer Certificate                      │
│  ◻ Theory-driven ML research program                     │
│  ◻ New synergies: Topology × Reinforcement Learning      │
│  ◻ Building an AI start-up & incubator                   │
│  ◻ Designing ML curricula & foundational notebooks       │
└──────────────────────────────────────────────────────────┘

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🌐 Scholarly identities & connect

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🧠 Fun facts

💡 I blend pure mathematics with modern AI architectures.
🎓 I mentor students and build research-driven ML programs.
🌀 I believe persistent homology will reshape how we understand learning.