Miguel Carlos Muñoz Lecanda

Miguel Carlos Muñoz Lecanda is a Senior Lecturer at the Universitat Politècnica de Catalunya (UPC), affiliated with the Departament de Matemàtica Aplicada IV and the Facultat de Matemàtiques i Estadística (FME). His expertise spans differential equations, theoretical physics, geometry, and dynamical systems. He holds a Doctorate in Mathematics (DOCTOR C. MATEMÀTIQUES) and has been actively involved in research and academic projects since the 1990s. His work focuses on geometric mechanics, optimal control theory, field theories, and the application of differential geometry to physical systems.

Research Interests:

• Geometric formulations of field theories (multicontact, K-contact structures)
• Optimal control and geometric control theory
• Contact dynamics and dissipative systems
• Hamiltonian and Lagrangian systems with non-conservative forces
• Symmetry reduction and variational principles

Publications & Projects:

• Lead researcher in projects like Métodos Geométricos en Mecánica y Teoría de Campos and Geometría de Varietats i Aplicacions
• Over 205 academic activities including papers, conference presentations, and research grants
• Recent work includes Practical introduction to action-dependent field theories (2025), Sundman transformation and alternative tangent structures (2023), and foundational studies on contact mechanics

Affiliations:

• Member of research groups DGDSA and GEOMVAP
• Collaborations across departments including Matemàtica Aplicada i Telemàtica and Física Aplicada
• Involved in academic leadership roles and conference organization