Profile (CV) of the research teaching staff

Ugarte Vilumbrales, Luis

Department: Departamento de Matemáticas

Field: Geometría y Topología

Faculty: Facultad de Ciencias

Research Institute: INSTITUTO UNIVERSITARIO DE MATEMÁTICAS Y APLICACIONES (IUMA)

UNIZAR teaching of the last six courses

Geometry of curves and surfaces. From the 2023-24 course to the 2025-26 course
Geometry of curves and surfaces. Degree in Mathematics. From the 2023-24 course to the 2025-26 course
Geometry of curves and surfaces. Joint Program in Physics and Mathematics. From the 2023-24 course to the 2025-26 course
Differentiable manifolds. From the 2022-23 course to the 2025-26 course
Differentiable manifolds. Degree in Mathematics. From the 2021-22 course to the 2025-26 course
Differentiable manifolds. Joint Program in Physics and Mathematics. From the 2021-22 course to the 2025-26 course
Disciplinary content of mathematics. Master's Degree in Teaching Compulsory Secondary Education. From the 2020-21 course to the 2025-26 course
Linear geometry. Degree in Mathematics. From the 2020-21 course to the 2025-26 course
Linear geometry. Joint Program in Physics and Mathematics. From the 2020-21 course to the 2025-26 course
Linear geometry. During academic year 2024-25
Mathematics. Degree in Optics and Optometry. From the 2020-21 course to the 2022-23 course
Linear geometry. From the 2020-21 course to the 2021-22 course
Mathematics II. Bachelor's Degree in Informatics Engineering. During academic year 2020-21

Academic position: Prof. Titular Univ.

Email: ugarte@unizar.es

ORCID number: 0000-0003-2207-8653