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about me

research interests

My research interests mainly lie at the interface between Quantum Information Theory and Quantum Many-Body Systems. In general, I focus on applying tools from the mathematical fields of Analysis, Geometry and Probability to study problems arising in Quantum Information Theory. Moreover, a large part of my research deals with the Markovian description of open quantum systems and, in particular, with their study via Quantum (non-commutative) Functional Inequalities

 

More specifically, I am deeply interested in (but not restricted to) the following research topics:

  • Quantum Information Theory

  • Quantum Many-Body Systems

  • Quantum Dissipative Evolutions

  • Quantum Functional Inequalities

  • Entropic Inequalities

EMPLOYMENT

April 2024 - Indefinitely

Assistant Professor of Quantum Information Theory / Theoretical Quantum Computation

University of Cambridge

Department of Applied Mathematics and Theoretical Physics

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October 2021 - March 2024

Junior Professor (W1) of Mathematical Methods of Quantum Theory

Eberhard Karls Universität Tübingen

Area of Mathematical Physics

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October 2020 - September 2021

MCQST Distinguished PostDoc

Technische Universität München and Munich Center for Quantum Science and Technology

Chair of Mathematical Physics

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January 2020 - September 2020

Postdoctoral researcher

Technische Universität München and Munich Center for Quantum Science and Technology

Chair of Mathematical Physics

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September 2019 - December 2019

Support researcher of the ERC GAPS

Universidad Complutense de Madrid

Department of Mathematical Analysis and Applied Mathematics

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September 2015 - August 2019

La Caixa-Severo Ochoa Fellowship for doctoral studies

Instituto de Ciencias Matemáticas and Universidad Autónoma de Madrid

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September 2014 - March 2015

Teaching Assistant

Universidad Carlos III de Madrid

Department of Mathematics

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EDUCATION

September 2015 - December 2019

Instituto de Ciencias Matemáticas y Universidad Autónoma de Madrid

PhD in Mathematics

Thesis: Quantum Logarithmic Sobolev Inequalities for Quantum Many-Body Systems: An approach via Quasi-Factorization of the Relative Entropy

Sobresaliente cum laude, international mention

Defense presentation, predefense presentation

September 2016 - September 2018

Universitat Rovira i Virgili and Universitat Oberta de Catalunya

Master degree in Computational Engineering and Mathematics

Master thesis: Introduction to post-quantum cryptography

Defense presentation

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September 2014 - September 2015

Universidad Autónoma de Madrid

Master degree in Mathematics and Applications

Master thesis: Norm-attaining operators

Defense presentation

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September 2009 - July 2014

Universidad de Granada

(Licenciatura) Bachelor degree in Mathematics

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