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Dr. David Alfaya Sánchez

Current position:
Associate Professor
Research Area:
Association date:
05/May/2020
Location:
AA25. D-203
Phone extension number:
+34 91 542-2800 ext. 2409
Researcher ID:
Google Scholar ID:
SCOPUS:
Academic Report:

Biography:

David Alfaya has a PhD in Mathematics from Universidad Autónoma de Madrid (UAM). He has a Bachelor Degree in Mathematics (2013, First National Bachelor Prize in Science Area) and he is a Computer Science Engineer (2013, First National Bachelor Prize in Engineering and Architecture Area), with a Master in Mathematics and Applications (2014) and a Master in Research and Innovation in Communications and Information Technologies (2015) from UAM. He obtained his PhD in 2018, developing his predoctoral research at ICMAT (Instituto de Ciencias Matemáticas del Consejo Superior de Investigaciones Científicas). He enjoyed two JAE Intro undergraduate research scholarships in 2011 and 2012 at ICMAT. Between 2012 and 2013 he worked at the Information Retrieval Group at UAM. From 2014 to 2018 he was a predoctoral researcher at ICMAT with a La Caixa-Severo Ochoa grant and from 2018 to 2019 he worked as Associated Collaborator Professor at ICAI. In 2019 he was a postdoctoral researcher at ICMAT and since 2020 he has been an Assistant Collaborator Professor at the Department of Applied Mathematics of ICAI and Associate Researcher at IIT. His research interests spread through several fields of pure and applied mathematics. Within the framework of Algebraic Geometry, his main lines of work share an interest in the study of the geometry of moduli spaces (specially moduli of decorated bundles including, among others, Higgs bundles, connections and parabolic structures). On the other hand, he also develops research lines in Information Retrieval, Information Geometry, Blockchain technologies and interactions between Artificial Intelligence and Mathematics.


Areas of interest:

Pure and applied mathematics. Study of the geometry of moduli spaces (specially moduli of decorated bundles including, among others, Higgs bundles, connections and parabolic structures). Information Retrieval, Information Geometry, Blockchain technologies and interactions between Artificial Intelligence and Mathematics.


Highlighted Publications

show 5 highlighted publications

Journal Publications

show 19 journal publications

Ph.D. Thesis

show 2 Ph.D. Thesis

International Exchanges

  • May 2026, Centro de Matemática, Universidade do Porto. Porto (Portugal).
show 1 international exchanges

Invited Conferences and Seminars

  • Conference "Bridges between Geometry and AI" London International Youth Science Forum (LIYSF). Specialist Study Day. . Imperial College London. London (United Kingdom). Jul 2026.
  • Conference "Computing and AI in mathematical research" Jornada Matemáticas en Abierto en la ETSAM. Seminario "Hablemos de IA". Escuela Técnica Superior de Arquitectura de Madrid (ETSAM). Madrid (Spain). Jun 2026.
  • Presentation " Computational tools for exploring the geometry of moduli spaces. " Seminario de Geometría. Centro de Matemática. Universidade do Porto. Porto (Portugal). May 2026.
  • Seminar "Introduction to moduli spaces" Modelling Seminar. Instituto de Investigación Tecnológica. Universidad Pontificia Comillas. Madrid (Spain). Mar 2026.
  • Conference " Some computational tools for exploring the geometry of moduli spaces. " MaPhyAG Seminar. . Universidad Complutense de Madrid (UCM). Madrid (Spain). Mar 2026.
  • Conference "Isomorphisms between moduli stacks of bundles". Universidad de Salamanca. Salamanca (Spain). Feb 2026.
  • Conference "The mathematics of neural networks" Ciclo de conferencias «Más Temáticas». Universidad de Salamanca. Salamanca (Spain). Feb 2026.
  • Chair in "Round table: Artificial intelligence: opportunities, challenges, and the future" Ciclo de actividades «Matemáticas y Realidad». . Universidad Politécnica de Madrid (UPM). Madrid (Spain). Feb 2026.
  • Presentation "Isomorphisms between moduli stacks of bundles" Workshop and Conference "Stacks and Moduli". Indian Institute of Technology Madras. (India) Online. Jan 2026.
  • Presentation "Computer assisted exploration of the geometry of moduli spaces" Workshop on "AI in Mathematical Research". University of Augsburg. Augsburg (Germany). Aug 2025.
  • Conference "Designing activities with AI support" Plan de formación IA para PDI. IA para la enseñanza y evaluación. Universidad Pontificia Comillas. Madrid (Spain). Jul 2025.
  • Presentation "Computer assisted classification of isomorphisms between moduli spaces of parabolic vector bundles" Geometry and machine learning 2 Conference - GML 2025. Sorbonne Université; Université d'Artois; y Penn State University. Paris (France). May 2025.
  • Presentation "Classifying isomorphisms between moduli of bundles" Mathematics Department Seminar IISER. Indian Institute of Science Education and Research Bhopal. Bhopal (India) Online. Feb 2025.
  • Presentation "The mathematics of neural networks" Mathematics Career Talk. Indian Institute of Science Education and Research Bhopal. Bhopal (India) Online. Feb 2025.
  • Presentation "Classifying isomorphisms between moduli of bundles" Mathematical Physics and Algebraic Geometry (MAPHYAG) Seminar. Universidad Complutense de Madrid (UCM). Madrid (Spain). Jul 2024.
  • Round table "LED Meeting: Teaching experiences with ChatGPT and other Ais". Universidad Pontificia Comillas. Madrid (Spain). Dec 2023.
  • Seminar "Advances in Machine Learning" Seminario de Investigación GIIDA. Grupo de Investigación en Innovación Docente y Analytics - GIIDA. Universidad Pontificia Comillas. Madrid (Spain). Jun 2023.
  • Conference "Maths team contest: refinement and extension of teaching methodologies" Jornadas de Buenas Prácticas en Docencia Comillas 2022-23. Universidad Pontificia Comillas. Madrid (Spain). Jun 2023.
show 18 invited conferences and seminars

External Relevant Positions

show 2 external relevant positions

Media and research dissemination

show 3 media and research dissemination

Fellowships and Awards

  • «Markoff m-Triples with k-Fibonacci Components» "Research award of the IV Research Hackathon of Club Empresarial ICADE: Best paper by JCR impact index with a letter of acceptance for publication within 12 months of the celebration of the IV Research Hackathon". Facultad de Ciencias Económicas y Empresariales ( Universidad Pontificia Comillas); Management Solutions; y Club Empresarial ICADE. Madrid (Spain). Dec 2025.
show 1 fellowships and awards

Other Activities

  • Doctoral Defense Committee of "Shminke, B. «Applications of AI to study of finite algebraic structures and automated theorem proving»". Université Côte dAzur. Nice (France). Sep 2023.
  • Doctoral Defense Committee of "Ghannoum, N. «Investigation des catégories finies»". Université Côte dAzur. Nice (France). Dec 2022.
show 2 other activities