Lady Estefania Murcia-Lozano

Academic Qualifications
Doctorate in Mathematics, Center for Research and Advanced Studies (Cinvestav), Mexico, 2024.
Master's Degree in Mathematics, National University of Colombia, Colombia, 2018.

Professional Experience
2025 - present Junior Researcher: Southern Federal University, Rostov-on-Don, Russia.
2024-II Associate Professor: University Corporation of the Meta, Villavicencio, Colombia.
2018-I Visiting Professor: National University of Colombia, Tumaco Campus, Colombia.
2017-II Associate Professor: National University of Colombia, Bogotá Campus, Colombia.
2017 (June - July) Teaching Assistant: National University of Colombia, Bogotá Campus, Colombia.
2014-II and 2013 Teaching Assistant: Francisco José de Caldas District University, Bogotá, Colombia.

Research Projects
- Scattering and spectral theory for linear and nonlinear ordinary and partial differential equations.
- Scattering problems for the Zakharov - Shabat system.
- Fractional calculus.
- Numerical methods for the solution of direct and inverse scattering problems.
- Transmission eigenvalue problems.

Scholarly Identifiers
ORCID ID: 0000-0002-3192-9918
ResearchGate:  https://www.researchgate.net/profile/Lady-Murcia-Lozano

Research Domains
- Differential equations.
- Operator theory.
- Harmonic analysis.
- Fractional calculus.
- Numerical analysis.

Core Research Interests
- Scattering and spectral theory for linear and nonlinear ordinary and partial differential equations.
- Scattering problems for the Zakharov - Shabat system.
- Transmission eigenvalue problems.
- Riemann - Liouville fractional operators.
- Numerical algorithms for solving scattering and spectral problems.
- Sampling theory applied to Sturm - Liouville problems.