Research Interests
I am interested in control theory, specifically the controllability and stabilization of partial differential equations (PDEs).
Curriculum Vitae
Education
Ph.D. Student in Mathematics
Consortium USM - PUCV - UV | Valparaíso, Chile | 2024 - Present
Bachelor of Science in Mathematics
Yachay Tech University | Urcuquí, Ecuador | 2018 - 2023
Research & Professional Experience
Visiting Student
Institut de Mathématiques de Toulouse | Toulouse, France | May 2025 – Aug 2025
- Research stay under the supervision of Dr. Hugo Parada.
- Collaborated on mathematical research projects within the doctoral framework.
Researcher - Research Project
Yachay Tech University | Urcuquí, Ecuador | Jan 2025 – Dec 2026
- Project: "Existence of solutions for elliptic equations involving non-local operators."
- Led by Dr. Juan Mayorga-Zambrano.
Mathematics Teacher
Unidad Educativa del Milenio Yachay Unit (UEMY) | Urcuquí, Ecuador | 2022 – 2023
- Taught 10th-grade mathematics within the national education program.
Teaching Assistantships
Federico Santa María Technical University (USM), Chile
- Linear Algebra (Lecturer Assistant) - 2025-2
- Mathematics I (Lecturer Assistant) — 2025-2 & 2024-2
- Linear Algebra (Grading Assistant) — 2025-1
- Mathematics II (Grading Assistant) — 2025-1
- Pre-calculus (Lecturer Assistant) — 2024-2
Additional Professional Background
Freelance Mathematical Content Writer
SoftAge Information Technology | Gurugram, India | 2023 – 2024
Drafted and edited mathematical problems for the training and validation of Artificial Intelligence models.
Intern
Talov | Ibarra, Ecuador | 2021
Data collection and processing for sign language recognition algorithms using Python.
Academic Events
- IPPhys2026 Summer School: Inverse Problems in the Physical Sciences (Puerto Varas, Chile).
- SOMACHI 2025: (Vicuña, Chile).
- COMCA 2025: Capricorn Mathematical Congress (Antofagasta, Chile).
- Control of PDES and related topics 2025 Conference: (Toulouse, France).
- EUR MINT 2025 Summer School: Control, Inverse Problems and Spectral Theory (Toulouse, France).
- SOMACHI 2024: (Valdivia, Chile).
- IPCT Seminar: Inverse Problems and Control Theory (Santiago, Chile - Present).
Site under construction.