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个人简介
I was born in Santa Cruz de Tenerife, Spain in 1970. In 1988, I began my studies at the University of La Laguna (ULL) and five years later, I obtained a Master's Degree in Mathematics. In 1994, just half a year later, I joined the staff of the Department of Fundamental Mathematics (ULL) as a Teaching Assistant. I enjoyed teaching and learning Algebraic Topology, especially Homotopy Theory, so I decided to start doing research in this field with the help of my advisors Sergio Rodríguez Machín (ULL) and Luis Javier Hernández Paricio (University of La Rioja, Spain). My research involved Axiomatic Homotopy Theory and simplicial methods for studying Proper Homotopy Theory. Additionally, I contributed to the development of the category of exterior spaces, a useful tool for solving (co-)limit problems in the category of spaces and proper maps. In 1998, I obtained my PhD in mathematics with a dissertation entitled "Simplicial Proper Homotopy". One year prior, I had obtained a position as a Lecturer (non-tenured) at ULL. From 2005 to 2017, I served as an Associate Professor (ULL), and in the latter year, I became an Associate Professor (civil servant), which is my current academic position. My current research interests include Exterior and Proper Homotopy Theory and a variant of Lusternik-Schnirelmann category called Topological Complexity, which is a numerical homotopy invariant relevant to the problem of robot motion planning.
研究兴趣
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Expositiones Mathematicaepp.125590, (2024)
arXiv (Cornell University) (2023)
García-Calcines Jose Manuel,Jose Manuel García-Calcines
Topology and its Applications (2019): 106810
mag(2015)
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