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Ruiz de Alarcón Torregrosa, Alberto
PhD: Universidad Complutense de Madrid
BIO
Alberto Ruiz de Alarcón holds a PhD in Mathematics from the Universidad Complutense de Madrid, where he developed his doctoral thesis under the supervision of Profs. David Pérez-García and András Molnár, in the framework of an FPI-SO contract at ICMAT-CSIC. His research explores new connections between Hopf algebras and tensor networks, with applications to the physics of quantum many-body systems.
Before joining CUNEF, he worked as a postdoctoral researcher at the Universidad Complutense de Madrid and at the University of Tübingen. He holds a degree in Mathematics and a master's degree in Advanced Mathematics, both from the Universidad Complutense de Madrid.
Researcher IDs:
arXiv: arxiv.org/a/ruizdealarcona1
ORCiD: orcid.org/0000-0001-5726-2114
Google Scholar: scholar.google.com/citations?user=kNiXyEUAAAAJ
Education
PhD in Mathematical Research, Universidad Complutense de Madrid (2023)
MSc in Advanced Mathematics, Universidad Complutense de Madrid (2017)
BSc in Mathematics, Universidad Complutense de Madrid (2016)
Research Interests
Quantum information. Quantum many-body physics. Tensor networks. Topological order.
Career
Postdoctoral fellow at Complutense University of Madrid, February 2024 – January 2025
Postdoctoral fellow at University of Tübingen, Germany, January 2023 – January 2024
Predoctoral fellow FPI Severo Ochoa at the Institute of Mathematical Sciences (ICMAT) of the Spanish National Research Council (CSIC), July 2018 – November 2022
Publications in Scientific Journals
Ruiz-de-Alarcón, Alberto; Garre-Rubio, José; Molnár, András; Pérez-García, David: “ Matrix product operator algebras II: phases of matter for 1D mixed states”, Letters in Mathematical Physics, 114, 43, 2024.
Caamaño, Iván; Jaramillo, Jesús Á.; Prieto, Ángeles; Ruiz-de-Alarcón, Alberto: “Sobolev spaces of vector-valued functions”, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 115, 19, 2021.