CARLOS ÁVILA
Infrastructure & AI engineer, mathematics educator, and software implementer based in El Salvador.
RESEARCH
ENGINEERING
TEACHING
I work across infrastructure, AI systems, software implementation, automation, and data analysis.
My background combines mathematics education, software development, and research-driven problem solving.
Current interests: natural language processing, high-dimensional statistics, statistical learning, and topology for machine learning.
NLP & AI
Language Systems
Mathematics
Teaching & Research
Technical Stack
Software Development (JS, TS, Next)
ProfessionalPython & Data Analysis
ProfessionalInfrastructure & SaaS Implementation
ProfessionalMathematics Education
AdvancedAutomation & Cloud
Professional// Elsewhere
Academic Background/ Education & Research
Degree
Computer Science Engineering
Universidad Centroamericana José Simeón Cañas (UCA)
Thesis Research
Geometric Framework of Topological Data Analysis for Text-Based Machine Learning
Application of Topological Data Analysis (TDA) to extract geometric features from natural language vector embeddings.
Recognitions
Latin America First Place
AGI International AI/APP Innovation Challenge 2025
Led and coached the Escuela Americana team that won with SOMA-AI Learn
National Champion
Huawei ICT Competition 2023-2024 (Cloud Track)
Roque Dalton Presidential Scholarship
Becas FANTEL
Full scholarship for academic excellence
Math Schools & Specialized Certifications
EMALCA Honduras 2025
Universidad Nacional Autónoma de Honduras
Focus Areas & Coursework
- High-Dimensional Statistics
- Integer Optimization Applied to Humanitarian Logistics
- Introduction to Control Theory
- Introduction to Statistical Learning
CIMPA School El Salvador 2024
Submanifold Theory and Geometric Analysis
Focus Areas & Coursework
- Differential Operators on Riemannian Manifolds
- Geometric Analysis on Surfaces
- Introduction to Differential Geometry of Surfaces
- Introduction to Finsler Geometry
- Introduction to Lorentzian Geometry of Curves and Surfaces
- Recent Advances in Lorentzian Geometry
EMALCA Costa Rica 2024
Universidad de Costa Rica (UCR)
Focus Areas & Coursework
- An Introduction to Elliptic Curves
- Introduction to Dynamical Systems
- Numerical Stability and an Application of an Earth Dam
- Plane Algebraic Curves
Huawei Certified ICT Associate
Artificial Intelligence (HCIA-AI)
EMALCA El Salvador 2023
Universidad de El Salvador
Focus Areas & Coursework
- Introduction to Data Science: Linear Regression
- Introduction to Error-Correcting Codes Theory
- Linear Optimization: Models and Solution Methods
- Numerical Solution of Partial Differential Equations
- An Introduction to Differential Geometry of Curves and Surfaces
Professional Experience
Principal Engineer, Infrastructure & AI
Tensor SV
Infrastructure and AI engineering for production systems, with focus on implementation, automation, and applied AI workflows.
High School Math Teacher
Escuela Americana
High school mathematics teacher in the Department of Mathematics, teaching Algebra I and Algebra II in English under U.S. AERO standards. Ethical AI Club Sponsor.
Software Implementation Technician
EcoPortal (New Zealand) · Remote
Software implementation work for a New Zealand SaaS platform, supporting technical configuration, deployment, and production client workflows.
Teaching Assistant
UCA El Salvador
Teaching Assistant in the Department of Mathematics for Numerical Analysis, Calculus I-III, and Differential Equations across multiple terms.
Lecturer
UCA El Salvador
Lecturer for pre-university and induction courses: Mathematics for Engineering and Architecture, Mathematics for Economics and Business Sciences, and Logic and Mathematics.
Research Study Assistant
UCA El Salvador / Florida International University
Programming, software design, hardware and database management, QA, and surveyor training for a UCA/FIU civil society capacity-building research project.
Automations Developer
Power[GI] (El Salvador) · Remote
Engineering scripts and bots for internal workflow optimization.
Data Analyst
True North Land (United States) · Remote
Data processing and business intelligence generation for the US real estate sector.
Frontend Developer
Undisclosed (Canada) · Remote
Frontend development work for a Canada-based organization.
Technical Translator
Undisclosed (Canada) · Remote
Technical translation work for a Canada-based organization.
SelectedProjects
Theory applied. Systems built.
Geometric Framework of TDA for Text-Based Machine Learning
Undergraduate thesis applying Topological Data Analysis to extract geometric features from natural language vector embeddings. Developed at Universidad Centroamericana José Simeón Cañas under the supervision of Dr. Yoceman Sifontes.
Plataforma IA LPG
Editorial document consultation system with AI for La Prensa Gráfica. Includes conversational search, a PDF viewer with exact citations, document administration, and a production RAG workflow.
Tago
Live peer-to-peer vehicle rental app for El Salvador, connecting car owners and renters through a production web experience for browsing, listing, and booking vehicles.
Notes
Occasional thoughts on math, code, and the spaces between.
The CR7 Filter: a data essay on World Cup longevity
A data-driven look at Cristiano Ronaldo, six World Cups, and what changes when other elite careers get a similar longevity window.
Field Notes: EMALCA Costa Rica 2024 at UCR
A very applied EMALCA in Liberia, with numerical analysis, elliptic curves, roommates, buses, beaches, waterfalls, and a lot of pinto.
Field Notes: EMALCA 2023 at UES
A summary of applied mathematics courses, from fluid simulation to Sudoku solvers in Python, and the experience of stepping outside UCA.
Contact
Available for consultation on software architecture, AI integration, and educational technology.