Dr. Hugo Antonio Camargo Montero

PhD Student
Gravity, Quantum Fields and Information
Location Potsdam
+49 331 567-7315
+49 331 567-7297

Main Focus

The main area of my PhD research lies in quantum information aspects of holography. I am currently working on the notion of complexity from the perspective of quantum field theories (QFTs). In particular, I'm interested in understanding how this quantity encodes information about quantum states which is inaccessible to other information measures, such as entanglement entropy. I also wish to understand the connection between a notion of complexity known as circuit complexity, the proposed holographically dual gravitational quantities, and other complexity measures such as the path-integral complexity and the Liouville action. I'm also interested in quantum information-theoretic quantities such as entanglement and complexity for AdS subregions corresponding to mixed states.

Apart from quantum information-theoretic aspects in holography, I am interested in various aspects of General Relativity ranging from asymptotic symmetries to solution-generating algorithms.

Besides my academic work as a research student, I also carry out major organizational responsibilities within the Gravity, Quantum Fields and Information research group at the Albert Einstein Institute. Since November 2019 I have been co-organiser of the weekly virtual seminar series "GQFI-WST" seminars jointly with the Warsaw String Theory group. My duties include contacting potential speakers, managing the virtual meetings and chairing sessions. In parallel, I also manage our group's Twitter account, as well as our group's YouTube account.

Curriculum Vitae

I obtained my Bachelor's degree in Physics at Mexico's National and Autonomous University (UNAM) in June 2014. For my Bachelor's dissertation I worked under the supervision of Dr. Miguel Socolovsky, from UNAM's Institute of Nuclear Sciences (ICN), on the subject of 4-dimensional stationary black hole solutions to Einstein-Maxwell's equations. During this time I also worked on the Newman-Janis algorithm: a solution-generating algorithm in general relativity which allows to generate rotating geometries starting from static ones.

After receiving my Bachelor's degree, I attended the University of Cambridge, where I obtained my Master's degree in Applied Mathematics and Theoretical Physics in June 2015, after completing the one-year graduate programme known as Part III of the Mathematical Tripos. During my Master's degree studies, I worked on the subject of Lovelock theories of gravity, which are natural higher-dimensional higher-curvature generalizations of Einstein's theory of general relativity.

After obtaining my Master's degree, I returned to Mexico City, where I worked as a teaching and research assistant of Dr. Miguel Socolovsky from September 2015 to July 2017. During this time, I worked on the subject of Weyl invariance and the semiclassical approximation to Phi 4 theory in black hole spacetimes. During this time, I also taught a graduate course on Black Hole physics and a Seminar on Symplectic Geometry.

In November 2017, I joined the International Max Planck Research School (IMPRS) for Mathematical and Physical Aspects of Gravitation, Cosmology and Quantum Field Theory PhD programme at the Max Planck Institute for Gravitational Physics in Potsdam, Golm, where I have been working on the field of holography (AdS/CFT Correspondence) under the supervision of Dr. Michal P. Heller. The central topic of such articles is the study of quantum-information theoretic quantities such as entanglement and complexity in the context of conformal and quantum field theories.

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