The Algebra of Vector Calculus: Mastering the Levi-Civita Symbol
How to use index notation and the Levi-Civita symbol to mechanically derive complex vector calculus identities without memorization.
Professional Summary
I bridge the gap between high-level mathematics and autonomous reasoning. I engineer verifiable AI systems that optimize token budgets and eliminate reasoning fragility, allowing companies to scale agentic fleets without unsupervised errors. Architectural Sovereignty is not a buzzword—it is the discipline of building AI that reasons, not hallucinates.
Education
Master in Applied Mathematics
2024-03-01
2026-06-01
University of Buenos Aires (UBA)
BS in Applied Mathematics
2020-03-01
2023-06-01
University of Buenos Aires (UBA)
Technical Interests
Multi-Agent Systems
Applied Mathematics
Topological Data Analysis
Software Architecture
🔬 My Mission
I am a Gold Medalist in the Argentina Physics Olympiad and an Applied Mathematician specializing in high-stability intelligent systems.
My work focuses on solving complex engineering bottlenecks using advanced mathematical tools—such as using Topological Data Analysis (TDA) to modularize massive legacy codebases. I partner with Tier-1 startups that prioritize technical sovereignty and deep, asynchronous work.
Feel free to reach out to discuss Multi-Agent Orchestration or RAG Architectures.
Recent Blog Posts
Topological Data Analysis and RAG: Building an Architectural Chatbot for Large Legacy .NET Repositories
A deep dive into transforming deeply coupled legacy .NET systems into mathematically mapped, queryable ecosystems. We explore Topological Data Analysis (TDA), community detection …
Mastering Dotfiles: A Guide to GNU Stow
Efficiently managing and symlinking personal configuration files using the power of GNU Stow.
The Geometry of Echoes: Solving Savchenko 1.1.18
Determining the displacement of a vehicle relative to a moving sound wavefront using vector geometry and the law of cosines.
Solving a Non-Elementary Integral: The Feynman Technique
Using differentiation under the integral sign to solve the Dirichlet integral and its variations.