Campaña de la Memoria Académica Anual del IITCurso 2023 - 2024 - Versión en Inglés
A continuación se muestra la información disponible de Dr.D.David Alfaya Sánchez en el peridodo de tiempo desde el 1 de septiembre de 2023 hasta el 31 de agosto de 2024. Esta información se va a emplear para elaborar la Memoria Académica Anual del IIT, la Memoria de Investigación de Comillas y tu Curriculum Vitae, por lo que es muy importante que sea correcta y esté completa. Todos los campos que se muestran en cada referencia deben tener información, a menos que se indique lo contrario (p.ej. "No aplica"). Por favor, complétala. Comprueba también que la información se muestra en el apartado correcto. Si detectas cualquier error o falta de información, por favor, envía un email pinchando aquí indicando el apartado y la información errónea o faltante. Para enviar comentarios/sugerencias/errores... sobre esta página web, por favor haz clic aquí. Para ver la Versión en Español, haz clic aquí. Para ver la Versión Completa de la memoria, haz clic aquí.
[Expandir todo | Contraer todo] Chapter 1. Organizational structure [ |  ]- 1.1 Management
- 1.2 Council
- 1.3 Area coordinators
- 1.4 Scientific advisory board
- 1.5 Academic staff
- 1.6 Associated academic staff
| * | Name: | David Alfaya Sánchez | | | Category: | Assistant Professor
| | | Degree: | PhD in Mathematics . Universidad Autónoma de Madrid (UAM)
Bachelor Degree in Mathematics. Universidad Autónoma de Madrid (UAM)
Education, Culture and Sports).
Computer Science Engineer. Universidad Autónoma de Madrid (UAM)
Master in Mathematics and Applications . Universidad Autónoma de Madrid (UAM)
Master in Research and Innovation in Communications and Information Technologies. Universidad Autónoma de Madrid (UAM) | | | 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. | | | ICAI Department: | DMA | | | | |
- 1.7 Pre- and postdoctoral fellows
- 1.8 Areas of Research
- 1.8.1 MAC Coordinator
- 1.8.2 REDES Coordinator
- 1.8.3 RYE Coordinator
- 1.8.4 SADSE Coordinator
- 1.8.5 PCI Coordinator
- 1.8.6 ASF Coordinator
- 1.8.7 ASI Coordinator
- 1.8.8 BIO Coordinator
- 1.8.9 SMS Coordinator
- 1.9 Services staff
- 1.9.1 Systems Administrator Staff
- 1.9.2 Administrative Staff
Chapter 2. Research [ | ]- 2.1 Research Projects
- 2.1.1 Research and develop projects
- 2.1.1.1 Private funding
| * | Abbreviated name: | CIAMOD | | | Project title: | Applications of computational methods and artificial intelligence to the study of moduli spaces | | | Funding entity: | Convocatoria de Financiación de Proyectos de Investigación Propios 2023 | | | Start date: | September 2023 | | | End date: | August 2026 | | | Researcher(s): | David Alfaya Sánchez, José Portela González | | | Description: | It is common to find applications of mathematics to AI and computation. Recent breakthroughs like ChatGPT have increased the interest on the opposite process: the ability of computers to help proving new theorems. This project deepens in this question, exploring the following lines of research in which AI and computation are used to study open problems related with moduli spaces which are very relevant in the current mathematical landscape.
Analysis of the stability chambers of the moduli space of parabolic bundles:
The geometry of these moduli spaces depends on certain weights which are chosen for their construction. These are grouped in stability chambers in which the moduli space remains constant, represented by regions in a hypercube and there exist transformations identifying moduli from certain different chambers. Our goal is to estimate the number of different moduli spaces that there exist and to study their birational geometry through the study of the geometry of these chambers with computer assisted techniques.
Decompositions of motives of moduli:
Motives are invariants which provide a lot of geometric information. Manipulating motivic formulas and understanding when can two different expressions represent the same variety is a problem of great interest. We will develop a software package for manipulating and comparing motives efficiently and we will apply it to Mozgovoy’s conjecture on the L-Higgs moduli and to obtain formulas with positive coefficients for the moduli of vector bundles.
Study of Markoff m-triples and its relation to Higgs moduli:
Markoff triples are integral solutions to x^2+y^2+z^2=3xyz. They are structured in trees, subject of the famous Markoff Conjecture. m-triples are solutions to x^2+y^2+z^2=3xyz+m and their theory is jet to be developed. We will use computational techniques to research conjectures about its structure and, starting from the relations between triples and points in the moduli of representations, we will explore the relations between m-triples and the Higgs moduli. | | | | |
- 2.1.1.2 Public funding
- 2.1.2 Consultancy and technological support
- 2.1.2.1 Private funding
- 2.1.2.2 Public funding
- 2.1.3 Services and analysis projects
- 2.1.3.1 Private funding
- 2.1.3.2 Public funding
- 2.2 Publications
- 2.2.1 Books
- 2.2.2 Chapters in books
| * | Author(s): | D. Alfaya, M. Oliva Calero, E. Alonso, S. Cano Casanova, J. Rodrigo, M. Villanueva Pesqueira | | | Chapter title: | Maths Team Contest: refinamiento y ampliación de metodologías docentes | | | Book title: | Buenas prácticas en docencia | | | Editors: | | | | Publisher: | Universidad Pontificia Comillas | | | Pages: | 213-218 | | | ISBN: | 978-84-8468-762-7 | | | Publication date: | February 2024 | | | | |
- 2.2.3 Papers in Journals
| * | Author(s): | D. Alfaya, A. Oliveira | | | Title: | Lie algebroid connections, twisted Higgs bundles and motives of moduli spaces | | | Journal: | Journal of Geometry and Physics | | | Vol & Num: | vol. 201 | | | Pages: | 105195-1-105195-55 | | | ISSN: | 0393-0440 | | | Publication date: | April 2024/July 2024 | | | | |
- 2.2.4 Papers in Congress
- 2.2.5 IIT Technical Documents
- 2.2.6 Other Publications
- 2.3 Software Products
Chapter 3. Teaching [ | ]- 3.1 Supervised Bachelor Theses at IIT
- 3.1.1 Bachelor's Degree in Engineering for Industrial Technologies
- 3.1.2 Bachelor's Degree in Engineering in Telecommunications Technologies
- 3.2 Postgraduate Teaching
- 3.2.1 Master Courses
- 3.2.1.1 Official Master's Degree in Industrial Engineering (MII)
- 3.2.1.2 Official Master's Degree in Telecommunications Engineering (MIT)
- 3.2.1.3 Official Master's Degree in the Electric Power Industry (MEPI)
- 3.2.1.4 Master in Railway Systems (MSF)
- 3.2.1.5 Master in Project, Construction and Maintenance of High Voltage Electrical Transmission (On-line)
- 3.2.1.6 Master in Fire Protection Engineering (MIPCI)
- 3.2.1.7 MBA in the Global Energy Industry
- 3.2.1.8 Master's Degree in Smart Industry (MIC)
- 3.2.1.9 Master’s Degree in International Industrial Project Management
- 3.2.1.10 Master in Electricity Generation. Promotion, Technology and Operation (MGE) (On-line)
- 3.2.1.11 Master's Degree in Big Data Technologies and Advanced Analytics (MBD)
- 3.2.1.12 Master's Degree in Management Solutions (MCN)
- 3.2.1.13 Master's Degree in Smart Grids (MSG)
- 3.2.1.14 Master in Biomechanics Applied to Damage Assessment; Advanced Physical Therapy Techniques
- 3.2.1.15 Master in Mobility and Safety Engineering (MMS)
- 3.2.1.16 Master in Electrical Technology (MTE)
- 3.2.1.16 Master in smart agricultural industry and sustainability
- 3.2.1.17 Official Master's Degree in Biomechanics and Sports Physiotherapy
- 3.2.2 Master Theses supervised at IIT
- 3.2.2.1 Official Master's Degree in Industrial Engineering (MII)
- 3.2.2.2 Official Master's Degree in Telecommunications Engineering (MIT)
- 3.2.2.3 Official Master's Degree in the Electric Power Industry (MEPI)
- 3.2.2.4 Erasmus Mundus International Master in Economics and Management of Network Industries (EMIN)
- 3.2.2.5 Master in Railway Systems (MSF)
- 3.2.2.6 MBA in the Global Energy Industry
- 3.2.2.7 Master in Fire Protection Engineering (MIPCI)
- 3.2.2.8 Master's Degree in Smart Industry (MIC)
- 3.2.2.9 Master’s Degree in International Industrial Project Management
- 3.2.2.10 Master's Degree in Big Data Technologies and Advanced Analytics (MBD)
- 3.2.2.11 Master in Electricity Generation. Promotion, Technology and Operation (MGE) (On-line)
- 3.2.2.12 Master's Degree in Management Solutions (MCN)
- 3.2.2.13 Master in Project, Construction and Maintenance of High Voltage Electrical Transmission (On-line)
- 3.2.2.15 Official Master's Degree in Engineering Research (MIMSI)
- 3.2.2.16 Master's Degree in Smart Grids (MSG)
- 3.2.2.17 Master in Biomechanics Applied to Damage Assessment; Advanced Physical Therapy Techniques
- 3.2.2.18 Master in Mobility and Safety Engineering (MMS)
- 3.2.2.19 Master in Electrical Technology (MTE)
- 3.2.2.20 Official Master's Degree in Biomechanics and Sports Physiotherapy
- 3.2.2.21 Master in Environment and Energy Transition
- 3.3 Other Academic Activities
- 3.3.1 External Master Courses
- 3.3.2 Supervised Master Theses in other Universities
- 3.3.3 Developed Master Theses in other Universities
Chapter 4. Doctorate [ | ]- 4.1 ICAI Engineers' Association PhD Scholarship
- 4.2 Training complements
- 4.3 Training activities
- 4.4 Doctoral Theses
- 4.4.1 Comillas Submitted Theses
- 4.4.2 Submitted Theses in other Universities
- 4.4.3 Comillas Ongoing Theses
Chapter 5. Other Activities [ | ]- 5.1 EES-UETP
- 5.2 International Exchanges
- 5.3 Visiting professors
- 5.4 Visiting students
- 5.5 Courses offered and coordinated to external companies and institutions
- 5.6 Conferences, Seminars, Roundtables and Workshops Contributions
| * | Lecturer(s): | David Alfaya Sánchez | | | Title: | Classifying isomorphisms between moduli of bundles | | | Event: | Mathematical Physics and Algebraic Geometry (MAPHYAG) Seminar | | | Funding entity: | Universidad Complutense de Madrid (UCM) | | | Type: | Conference | | | | | | * | Lecturer(s): | David Alfaya Sánchez | | | Title: | LED Meeting: Teaching experiences with ChatGPT and other Ais | | | Event: | | | | Funding entity: | Universidad Pontificia Comillas | | | Type: | Round-table meeting | | | | |
- 5.7 Congress, Seminars and Journals Organization
- 5.8 Other Academic Activities Organization
- 5.9 Other Activities
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