Doctoral Consortium USM, PUCV, UV. Valparaíso, Chile. 2024 to present
- Primary research area: control theory and inverse problems.
- Advisors: Patricio Guzmán and Hugo Parada.
About me
I am a Ph.D. student in Mathematics from Celica, Loja, Ecuador. Since March 2024 I have been part of the Doctoral Consortium of Valparaíso, a joint program of USM, PUCV and UV, under the supervision of Patricio Guzmán and Hugo Parada.
My work focuses on the controllability and stabilization of partial differential equations, in particular feedback laws that force solutions of parabolic equations to decay at a prescribed exponential rate.
- Control theory
- Rapid stabilization
- Parabolic PDEs
- Inverse problems
Email christiancalle141 [at] gmail.com · ccalle [at] usm.cl
Research
I am interested in control theory, specifically the controllability and stabilization of partial differential equations (PDEs).
Research articles
- 2026C. Calle, P. Guzmán, H. Parada. Rapid stabilization of the heat equation with localized disturbance. Accepted for publication in SIAM Journal on Control and Optimization. Preprint.
- 2024J. Mayorga-Zambrano,C. Calle, J. Castillo-Jaramillo. m-Biharmonic Kirchhoff-type equation with singularity and critical exponent. Bulletin of Computational Applied Mathematics.
Conference articles
- 2022G. Tapia, L. Riera, C. Calle, I. Amaro, S. Infante. Assessing the COVID-19 Vaccination Process via Functional Data Analysis. Information and Communication Technologies. TICEC 2022. Communications in Computer and Information Science.
Curriculum vitae
Education
Ph.D. Student in Mathematics
Bachelor of Science in Mathematics
Yachay Tech University. Urcuquí, Ecuador. 2018 to 2023
- Advisor: Juan Mayorga-Zambrano.
Research and professional experience
Visiting Student
Institut de Mathématiques de Toulouse. Toulouse, France. May to 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 to 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 (UEMY). Urcuquí, Ecuador. 2022 to 2023
- Taught 10th-grade mathematics within the national education program.
Teaching assistantships
Universidad Técnica Federico Santa María (USM), Chile
Graduate courses
- Control Theory (lecturer and grading assistant), 2026-1
Undergraduate courses
- Differential Calculus (lecturer assistant), 2026-2
- Linear Algebra (lecturer assistant), 2025-2
- Mathematics I (lecturer assistant), 2025-2 and 2024-2
- Linear Algebra (grading assistant), 2025-1
- Mathematics II (grading assistant), 2025-1
- Pre-calculus (lecturer assistant), 2024-2
Research service
- Reviewer: IFAC World Congress 2026 (IFAC WC 2026).
Academic events
- JMZS 2026: XXXVIII Jornada de Matemática de la Zona Sur (Concepción, Chile).
- IPPhys 2026 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 (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). Ongoing.
Additional professional background
Freelance Mathematical Content Writer
SoftAge Information Technology. Gurugram, India. 2023 to 2024
- Drafted and edited mathematical problems for the training and validation of AI models.
Intern
Talov. Ibarra, Ecuador. 2021
- Data collection and processing for sign language recognition algorithms using Python.