Pedro Tarancón-Álvarez

Pedro Tarancón-Álvarez

PhD Researcher in Theoretical Physics

Institute of Cosmos Sciences (ICCUB) · Universitat de Barcelona

AdS/CFT Holography Computational Physics Physics-Informed Neural Networks Machine Learning General Relativity Cosmology Turbulence
About

About me

I am a PhD student in theoretical physics at the Institute of Cosmos Sciences (ICCUB), Universitat de Barcelona, funded by an FPI fellowship (Ministerio de Ciencia e Innovación) as part of the project Dark Energy and the Origin of the Universe.

My research program focuses on hydrodynamics from a holographic perspective: from transport and far-from-equilibrium dynamics to phase transitions in the early universe and turbulence. I am interested in how AdS/CFT can provide quantitative and conceptual tools to understand fluid phenomena in regimes where standard perturbative methods are limited.

A central theme in my work is the interface between general relativity, quantum field theory, and fluid dynamics. In practice, I study reconstruction and inversion problems where gravitational dual geometries are inferred from boundary observables, with emphasis on nonlinear behavior and physically interpretable effective descriptions.

Methodologically, I combine analytic approaches with numerical methods and machine learning techniques, especially physics-informed neural networks (PINNs), to solve stiff nonlinear systems that appear in holography and relativistic physics. My goal is to build models that are both numerically robust and faithful to the underlying physics.

Before my PhD I completed an MSc in Theoretical Physics at the Instituto de Física Teórica (IFT), UAM-CSIC — where my thesis on Quantum Chaos in de Sitter Space and Centaur Geometries was supervised by Juan F. Pedraza and Ayan Kumar Patra — and a BSc in Physics at the Universidad Complutense de Madrid.

Research interests

🔭

AdS/CFT & Holography

Using the AdS/CFT correspondence to study strongly-coupled QFTs via their gravitational duals. Current focus: reconstructing holographic bulk geometries from boundary thermodynamic data with PINNs.

🧠

Physics-Informed Neural Networks

Developing efficient PINN architectures for stiff, nonlinear PDEs in theoretical physics — multi-head networks, unimodular solution-space regularization, and embedding-based approaches.

🌌

Phase Transitions in the Early Universe

Applying holographic methods to probe cosmological first-order phase transitions relevant to baryogenesis and the gravitational-wave background, and to neutron star merger equations of state.

🌊

Turbulence & Geometry of Flows

Studying turbulence and hydrodynamic instabilities through holography and the geometry of flows, as a member of the Simons Collaboration for the Geometry of Flows.

📐

Numerical Methods for Theoretical Physics

Using deep learning as a numerical tool to compute observables in holography, GR, and cosmology — complementing or replacing spectral and finite-difference methods.

🤖

AI for Scientific Discovery

Building autonomous AI systems capable of literature synthesis and hypothesis generation across disciplines, as part of the Denario project.

Selected publications

2026 · arXiv preprint
Non-conformal obstructions to bubble expansion
D. Mateos, M. Sanchez-Garitaonandia, P. Tarancón-Álvarez
arXiv:2607.27874 [hep-th]
2026 · arXiv preprint
Physics-Informed Neural Embeddings of PDE Solution Families
R. Jimenez, S. Mayboroda, P. Protopapas, L. Sarieddine, D. N. Spergel, P. Tarancón-Álvarez
arXiv:2607.06348
2026 · arXiv preprint
Gravitational Duals from Equations of State II: Large Hierarchies and False Vacua
R. Jimenez, D. Mateos, P. Protopapas, P. Solé-Vilaró, P. Tarancón-Álvarez, P. Tejerina-Pérez
arXiv:2606.30117
2026 · arXiv preprint
Recovering Sharp Conductivity Features in the Finite-Data Calderón Problem with Physics-Informed Neural Networks
A. AlHadi Kalout, P. Tejerina-Pérez, K. Karchev, P. Tarancón-Álvarez, L. Sarieddine, R. Jimenez et al.
arXiv:2606.28158
2026 · arXiv / ICLR Workshop
Learning embeddings of non-linear PDEs: the Burgers' equation
P. Tarancón-Álvarez, L. Sarieddine et al.
AI & PDE Workshop, ICLR 2026 · arXiv:2603.07812
2025 · Communications Physics (Nature)
Efficient PINNs via multi-head unimodular regularization of the solutions space
P. Tarancón-Álvarez, P. Tejerina-Pérez, R. Jimenez, P. Protopapas
Commun. Phys. 8, 335 (2025)  ·  9 citations
2025 · arXiv preprint
The Denario project: Deep knowledge AI agents for scientific discovery
F. Villaescusa-Navarro, B. Bolliet, P. Villanueva-Domingo, …, P. Tarancón-Álvarez et al.
arXiv:2510.26887  ·  21 citations
2024 · JHEP
Gravitational duals from equations of state
Y. Bea, R. Jimenez, D. Mateos, S. Liu, P. Protopapas, P. Tarancón-Álvarez, P. Tejerina-Pérez
JHEP 07 (2024) 087  ·  20 citations

Full list and citation tracking: Google Scholar · INSPIRE-HEP · ORCID · arXiv.

Teaching

Master's course · Universitat de Barcelona
Machine Learning for Physics — Mathematical and Statistical Techniques
Lectures by Pedro Tarancón-Álvarez & Pablo Tejerina-Pérez

The machine-learning module of the Mathematical and Statistical Techniques course in the Master's in Astrophysics, Particle Physics and Cosmology at the University of Barcelona. The lectures introduce neural networks as a numerical tool for physics, with a hands-on focus on physics-informed neural networks (PINNs) for solving differential equations. All notebooks, examples, and exercises are openly available on GitHub.

Neural Networks PINNs Differential Equations Forced Harmonic Oscillator Van der Pol Oscillator Jupyter Notebooks

Interested in the lectures or in using the materials? The notebooks are self-contained and free to use — feel free to reach out with questions or feedback.

Curriculum Vitae

Full academic CV
Complete publications, talks, schools, teaching and outreach · PDF, 4 pages · updated July 2026
↓ Download CV (PDF)

PhD supervision

David Mateos
ICREA Professor · ICCUB, Universitat de Barcelona
Holography, strongly-coupled QCD, hydrodynamics
Raúl Jiménez
ICREA Professor · ICCUB, Universitat de Barcelona
Cosmology, dark energy, machine learning in physics

Education

2023 – present
PhD in Theoretical Physics and Cosmology
Institute of Cosmos Sciences (ICCUB) · Universitat de Barcelona
Supervised by David Mateos and Raúl Jiménez, funded by an FPI fellowship (Ministerio de Ciencia e Innovación).
2022 – 2023
MSc in Theoretical Physics — Particle Physics & Cosmology
Instituto de Física Teórica (IFT) · Universidad Autónoma de Madrid
Thesis: Quantum Chaos in de Sitter Space and Centaur Geometries — supervised by Juan F. Pedraza and Ayan Kumar Patra.
Degree 9.33 · Thesis 9.8
2018 – 2022
BSc in Physics
Universidad Complutense de Madrid (UCM)
Thesis: Structural relations of remote galaxies from the CANDELS and 3D-HST catalogues — supervised by Jesús Gallego Maestro. Honours in seven courses.
Degree 9.02 · Thesis 8.8

Research experience

2023 – present
PhD Researcher (FPI Fellow)
ICCUB · Universitat de Barcelona
April – July 2024
Visiting Researcher
StellarDNN Lab · Harvard SEAS — host: Pavlos Protopapas
2021 – 2022
Collaboration Grantee (Ministry of Education)
Universidad Complutense de Madrid — MOSAIC instrument for the ELT

Selected talks

2026 · Poster
"Non-conformal obstructions to bubble expansion"
Iberian Strings 2026 · IGFAE, Santiago de Compostela
2025 · Invited talk
"Gravitational Duals from Equations of State"
"New Insights in Black Hole Physics from Holography" · IFT, Madrid
2025 · Oral
"The Denario Project: Deep Knowledge Agents for Scientific Discovery"
Cross-Collserola PhD Meeting · IFAE, Barcelona

All nine talks, plus 20+ schools and workshops (Simons Collaboration for the Geometry of Flows at IAS Princeton, ETH Zurich, CERN, GGI Florence, Benasque), are listed in the PDF.

Teaching

2025 – 2027
Instructor — Mathematical and Statistical Techniques
MSc in Astrophysics, Particle Physics & Cosmology · Universitat de Barcelona
Machine learning and PINNs module — see the Teaching section for lecture notes and course materials.

Media & outreach

October 2025 · Press
Research featured in La Vanguardia
"UB researchers develop new AI techniques to solve complex equations in physics" — read ↗
2025 · Video
"The Denario Project: Modular Automation of Scientific Research"

Skills & tools

Python JAX / PyTorch Julia Wolfram Mathematica C++ PINNs Deep Learning Spectral Methods HPC Clusters QFT GR Numerical Relativity LaTeX Git Spanish (native) English (fluent)

Contact

Google Scholar Publications & citations ↗ arXiv Preprints ↗ INSPIRE-HEP High-energy physics record ↗ ORCID 0009-0004-5774-231X ↗ GitHub github.com/pedrota2000 ↗ Institution ICCUB · Universitat de Barcelona ↗

Happy to discuss research, collaborations, or PhD-level topics in holography, PINNs, early-universe cosmology, or turbulence.