Curriculum vitae

CV

I work on graph-based machine learning, spectral graph theory, graph signal processing, and structured data, with applications in NLP, scientific signals, biomedical data, and public-sector analytics.

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Education

2020: PhD in Mathematical Engineering, Universidad Carlos III de Madrid. Excellent Grade 10/10, Cum Laude, International Distinction, and Outstanding Thesis Award.
2016: MSc in Mathematical Engineering, Universidad Carlos III de Madrid. Thesis on spectral gaps of magnetic Laplacians on graphs.
2012: MSc in Mathematical Sciences, National Autonomous University of Mexico. Built the theoretical foundation that later expanded into graph and data-driven methods.
2010: BSc in Mathematics, Autonomous Mexico State University. Early training in rigorous mathematical modelling and analysis.

Research appointments

Sep 2025 - Apr 2027: Postdoctoral Researcher in NLP and Graph Representation Learning, Cardiff University.
Feb 2024 - Apr 2025: Postdoctoral Researcher in Scalable Spectral Clustering, University of Edinburgh, School of Informatics.
Nov 2020 - Jan 2024: Postdoctoral Researcher in Graph Signal Processing for Biomedical Data, University of Edinburgh, School of Engineering.
Feb 2014 - Sep 2015: Industry and Government Data Science Researcher, National Institute of Educational Evaluation (INEE).
Jun 2020 - Oct 2020: Researcher in Spectral Methods on Graphs, Institute of Mathematical Sciences (ICMAT).

Skills

ML and experimentation: Python, PyTorch, CUDA, Hugging Face, Jupyter.
Data and analysis: NumPy, Pandas, R, MATLAB, Statistical modelling.
Applied domains: NLP, Graph ML, Graph signal processing, Decision-support dashboards.

Selected publications

15 peer-reviewed papers. Selected venues include ICML, ICASSP, EUSIPCO, IEEE TSIPN, and Linear Algebra and its Applications.

Signed Laplacians for Constrained Graph Clustering. International Conference on Machine Learning (ICML), 2025.
Isospectral Graphs via Spectral Bracketing. Linear Algebra and its Applications, 2024.
Graph-based Permutation Patterns for the Analysis of Task-related fMRI Signals on DTI Networks in Mild Cognitive Impairment. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2024.
Dispersion Entropy for Graph Signals. Chaos, Solitons and Fractals, 2023.
Permutation Entropy for Graph Signals. IEEE Transactions on Signal and Information Processing over Networks, 2022.

Teaching and recognition

Teaching: 12+ years teaching, 250+ contact hours, and three MSc co-supervisions.
2022: Alan Turing Institute Post-Doctoral Enrichment Award, The Alan Turing Institute.
2021: Professional Development Grant, Society of Spanish Researchers in the UK (SRUK).
2021: Outstanding Thesis Award, Universidad Carlos III de Madrid.
2020: Teaching Excellence Award, Universidad Carlos III de Madrid.
2018: Researcher Mobility Grant, Universidad Carlos III de Madrid.
2017: Pre-doctoral Research Training Scholarship (PIPF), Department of Mathematics, Universidad Carlos III de Madrid.
2020: Doctoral Lecturer Accreditation, ANECA.