David Pérez-García is Professor (Catedrático) of Mathematical Analysis at Universidad Complutense de Madrid, where he leads the research group Mathematics of Quantum Information. His current research focuses on the understanding of quantum nonlocality and its connections to complexity theory through the use of advanced tools from mathematical analysis, and the classification of quantum phases of matter using tensor networks.

He has obtained a total of 15 funded projects, including one Consolidator Grant from the European Research Council. Throughout his career, he has been awarded the RAC-Endesa and Miguel Catalán awards for young scientists, the Fundación Banco Sabadell prize for Science and Technology, and the Ramón y Cajal medal of the Spanish Royal Academy of Sciences. He has recently been elected member of the Spanish Royal Academy of Sciences.

He is section editor in quantum information for Annales Henri Poincaré and editor of Letters in Mathematical Physics. He has served as a member of the program committee for QIP, the most prestigious congress in quantum information theory, in its editions of 2012, 2015, 2018, 2022, 2024 (in 2022 as chair). He has also organized the quantum information section of the International Congress of Mathematical Physics (ICMP) in 2021.

David Pérez-García has published more than 100 articles in peer-reviewed journals, and has an h-index of 46, with more than 10,000 citations (source Google Scholar). He has published in top journals both in mathematics, physics and computer science, including Nature, Nature Communications, PNAS, Physical Review Letters, Physical Review X, Forum of Mathematics Pi, Forum of Mathematics Sigma, Communications in Mathematical Physics, Mathematische Annalen, Transactions of the AMS, IEEE Transactions on Information Theory or FOCS.

He has been invited speaker at the European Congress of Mathematics (ECM) in 2024, at the International Congress of Mathematical Physics (ICMP) in 2015, as well as at many other specialized conferences and workshops. His research paper “Matrix Product State Representations” (Quantum Inf. Comput. 7, 401 (2007)), with more than 1500 citations, was selected by Google Scholar as a “classic paper” in quantum mechanics. Moreover, his article “Undecidability of the spectral gap” (Nature 528, 207 (2015) and Forum of Mathematics Pi 10, e14 (2022)) was featured in the cover of the October 2018 issue of the Scientific American magazine.

David Pérez-García has been a pioneer in building bridges between quantum information and different areas of mathematics. Especially relevant are the connections he has found between quantum non-locality and functional analysis, between tensor networks and topological order or between computability and quantum matter.

He has supervised 9 PhD students and 14 postdoctoral researchers.