Blog & Research

Insights on AI, mathematics, and technology

Latest Articles

Deep dives into AI research and practical applications

Neural Networks Research
Research
2022

Why Do Neural Networks Work?

A deep exploration into manifold disentanglement in deep learning, providing mathematical insights into how neural networks transform and separate data representations across layers. This research bridges the gap between theoretical understanding and practical AI applications.

Research Article
20 min read
500+ views
Deep Learning Mathematics Neural Networks Manifold Theory
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AI & Education
Coming Soon

AI-Powered Mathematics Education

Exploring how artificial intelligence is revolutionizing mathematics education through personalized learning experiences, automated problem solving, and intelligent tutoring systems. Based on experiences building the matematicas.top-bot for the matematicas.top YouTube channel.

Article
In Progress
AI in Education LLMs Personalized Learning Mathematics
Coming Soon
Technical
Coming Soon

Building Production-Ready RAG Systems

A comprehensive guide to designing, implementing, and deploying Retrieval-Augmented Generation systems in production environments. Covering best practices, common pitfalls, and optimization strategies based on real-world experience.

Technical Guide
In Progress
RAG LangChain Vector Databases Production AI
Coming Soon

Speaking & Presentations

Sharing knowledge through conferences and talks

Universidad de Málaga - Máster en Big Data, IA e Ingeniería de Datos
May 5, 2025

Todo lo que necesitas saber para lanzar tu carrera en Ciencia de datos

Guest lecture delivered to 25 master's students at the University of Málaga's Big Data, Artificial Intelligence, and Data Engineering program. The session covered essential career guidance for aspiring data scientists, including practical skills, industry insights, and career development strategies. Held at the Ada Byron Research Building.

Career Development Data Science Industry Insights Education
University of Málaga, Masters in Mathematics
2022

Machine learning. Why do neural networks work?

Presented research on how neural networks progressively untangle data across their layers, providing insights into the mathematical foundations of deep learning effectiveness. The talk explored the geometric perspective on why neural networks are so successful at solving complex problems that traditional machine learning approaches struggle with.

Deep Learning Theory Manifold Learning Neural Network Interpretability Mathematical Foundations