Mathematical Engineering
- Inicio
- Engineering and Science
- Mathematical Engineering
- Inicio
Director
Prof. María Isabel González Vasco
About the program
The Ph.D. Program in Mathematical Engineering seeks to provide training in flexible and interdisciplinary research, providing students with the necessary tools to face technological/scientific problems through:
- A precise mathematical / physical / statistical foundation
- A formulation of models in mathematical terms
- A theoretical and/or numerical solution of mathematical models
- The interpretation of the solutions and their verification in scientific or technological terms
- Program regulated by RD 99/2011, January 2018
Departments
- ACCESS
Student profile
These skills require the use of mathematical tools that help physical phenomenon modeling and statistical tools to enable the formulation of empirical models from observation. Some experience is also required in managing mathematical computer programs (like, Mathematica, MatLab, or R).
The languages used in the training process will be Spanish and/or English, so it is necessary to have a good knowledge of these languages.
Admission requirements
According to art. 6 of the PhD studies regulation (RD 99/2011), in order to access the Program it is required to have a Bachelor's degree (or equivalent) and a Master's degree (or equivalent), provided that at least 300 ECTS credits have been passed in these two cycles as a whole, or the equivalent degree qualifies for level 3 of MECES (Marco Español de Cualificaciones para la Educación Superior, Spanish Framework for Higher Education Qualifications).
Likewise, access is available to candidates in possession of foreign degrees from countries integrated into the European Higher Education Area (EHEA) when the degree can be accredited as level 7 in the European Qualifications Framework (EQF), as long as the aforementioned degree allows access to PhD level studies in the country of expedition; and candidates with a degree which is equivalent to a Spanish Master's degree, obtained in foreign education systems outside the EHEA, as long as the aforementioned degree allows access to PhD level studies in the country of expedition.
The program’s admission requires a Bachelor's degree or equivalent and Master’s Degree with quantitative training in the area of Mathematical Engineering, for example the UC3M Master in Computational and Applied Mathematics or the UC3M Master in Industrial Mathematics
Students trained in other areas may be admitted with the requirement of an additional specific training up to 30 ECTS credits.
Admission criteria
Admission is determined according to the criteria set by the Academic Committee listed below. These are implemented by the coordinator of the program, who reports to the Committee on a regular basis.
Admission is based on merit and capacity of the candidates, for which the following aspects are considered:
- Academic record of previous studies
- Curriculum Vitae
- Endorsement letters from professors of the university or from other institutions or organizations, with direct knowledge of the capacity and competence of the candidate
- Thesis project proposal, provided by the candidate
- Connection of the project with the lines of research of the Ph.D. Program. The thesis project can be endorsed by a professor from the program
- A personal interview can be conducted if deemed necessary, with at least one member of the Academic Committee being present
Besides the thesis project proposal, the updated CV and the copies of academic certificates must also be provided by the candidate.
Endorsement letters must be submitted by the professors to admisiondoctorado@uc3m.es (indicating full name of the candidate-Ph.D. in Mathematical Engineering-uc3m).
The Academic Committee will determine the convenience of a personal interview and the weight of each criteria listed above: academic background and training of the candidate (minimum 50%); interest and suitability of the project for the lines of research of the program (minimum 30%).The admission criteria and procedures are equal for part-time and full-time candidates.
Resolutions of admission to the program may require up to 30 ECTS credits of complementary training. The Academic Committee will determine the specific subjects and research work of the complementary training, with input from the tutor and thesis advisor. Full-time students will take these credits during the first year on the program. Part-time students will take these credits during their first two years.
Seats available for the academic year: 17
- FACULTY
- Academic Committee
. Director of the Program
Department of Statistics
Department of Mathematics
Department of Statistics - Faculty
Department of Bioengineering and Aerospace Engineering
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Department of Statistics
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Cajal Teaching/Research Staff
Department of Mathematics
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Department of Business Economics
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Department of Materials Science and Engineering and Chemical Engineering
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Department of Statistics
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Department of Mathematics
91探花
Department of Mathematics
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Department of Mathematics
91探花
Department of Statistics
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Department of Statistics
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Department of Bioengineering and Aerospace Engineering
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Department of Statistics
91探花- Fernández Anta, Antonio
IMDEA Networks
Department of Statistics
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Department of Mathematics
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Department of Mathematics
91探花
Department of Mathematics
91探花
Department of Statistics
91探花
Department of Mathematics
91探花
Department of Statistics
91探花
Department of Materials Science and Engineering and Chemical Engineering
91探花
Department of Mathematics
91探花
Department of Mathematics
91探花
Department of Mathematics
91探花
Department of Mathematics
91探花
Department of Mathematics
91探花
Department of Statistics
91探花
Department of Mathematics
91探花
Department of Mathematics
91探花
Department of Mathematics
91探花
Department of Mathematics
91探花
Department of Bioengineering
91探花
Department of Mathematics
91探花
Department of Statistics
91探花
Department of Statistics
91探花
Department of Mathematics
91探花
Department of Statistics
91探花
Department of Mathematics
91探花
Department of Mathematics
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Department of Mathematics
91探花- Piñar González, Miguel Ángel
Universidad de Granada
Department of Statistics
91探花
Department of Mathematics
91探花
Department of Statistics
91探花
Department of Statistics
91探花
Department of Statistics
91探花
Department of Statistics
91探花
Department of Mathematics
91探花
Department of Materials Science and Engineering and Chemical Engineering
91探花
Department of Mathematics
91探花
Department of Statistics
91探花
- Academic Committee
- TRAINING
In addition to the elaboration of the doctoral thesis, students must take some training aimed at improving their research skills and the scientific quality of their research work. This is structured in the following types of training.
Specific training
- Seminars and specialized courses by visiting experts on the latest advanced techniques in the different areas of specialization.
Research skills training
Research skills training is focused on abilities common to all disciplines for the development of scientific and educational skills and the improvement of the professional career. This training consists of different activities (short courses, seminars, etc.), which can be recommended by the Academic Committee of the program.
Further information:
Scientific and technical resources
To carry out the research, the doctoral student will have, upon request, a workspace equipped with a computer and Internet and will have access to the resources provided by the departments and the university (printer, access to scientific publications, ...)
- Seminars and specialized courses by visiting experts on the latest advanced techniques in the different areas of specialization.
- RESEARCH
- Lines of research
Applied Mathematics for control, systems and signals
Complex systems
Partial differential equations
Numerical analysis of partial differential equations鈥�
Evolution and theoretical ecology, dynamics of socioeconomic systems and game theory
Statistical mechanics and nonlinear dynamics, materials science and nanostructures, microfluidics and fluid absorption of structured substrates
Social networks
Numerical Linear Algebra鈥�
Applied Harmonic Analysis, Applied functional analysis鈥�
Mathematics for quantum mechanics, Quantum information鈥�
Non-linear load and spin transport in nano-structures. NEMS systems: nano-electro-mechanical. Two-dimensional materials. Active matter. Vasculature growth. Biological systems鈥�
Dynamic multivariate modeling in business and industry鈥�
Parametric and non-parametric statistics for complex data鈥�
Decision-making problems and data analysis in high dimension鈥�
Statistical methods of decision through data analysis (not high dimension)
Approximation Theory
Geometric Function Theory鈥�
Graph Theory鈥�
Biomedical image processing and image formation, Modeling and numerical simulation, Inverse problems
Optimization
Markovian decision models
Mathematical physics: field theory and statistical physics鈥�
- Research Groups
Link to the Research Groups at the Department of Mathematics
- Scientific results
This is a sample of relevant publications derived from doctoral thesis work over the last five years:
- Thesis: Efficient Bayesian inference via Monte Carlo and machine learning algorithms
Author: Fernando Llorente Fernández
Publication: Llorente, F., Martino, L., Delgado, D., & Lopez-Santiago, J. (2023). Marginal likelihood computation for model selection and hypothesis testing: an extensive review.
Journal: SIAM Review, 65(1), 3-58
- Thesis: From Point Particles to Gauge Field Theories: a Differential- Geometrical approach to the Structures of the Space of Solutions
Author: Luca Schiavone
Publication: Ciaglia, F. M., Di Cosmo, F., Ibort, A., Marmo, G., Schiavone, L., & Zampini, A. (2022). Symmetries and covariant Poisson brackets on presymplectic manifolds.
Journal: Symmetry, 14(1), 70.
- Thesis: Polynomial and rational spectral problems: conditioning, backward errors and inverse problems
Author: Luis Miguel Anguas Márquez
Publication: L. M. Anguas, M. I. Bueno, and F. M. Dopico,
Journal: Linear Algebra Appl., 564 (2019), 170-200
- Thesis: Insights to the characterization of cell motility and intercellular communication through a bioimage analysis perspective
Author: Estíbaliz Gómez de Mariscal
Publication: E. Gómez-de-Mariscal, M. Maška, A. Kotrbová, V. Pospíchalová, P. Matula, A. Muñoz-Barrutia, “”, 鈥嬧�嬧�嬧�嬧�嬧�嬧��
Journal: Scientific Reports, 2019
- Thesis: Flocking and pattern formation in active particles and epithelial tissues
Author: Carolina Trenado Yuste
Publication: Bonilla, L. L., Trenado, C. (2019). Contrarian compulsions produce exotic time-dependent flocking of active particles.
Journal: Physical Review E, 99(1), 012612.
- Thesis: Differentiation matrices and applications to Lokta-Volterra competing systems, the biharmonic equation and Sherwood number鈥嬧�嬧�嬧�嬧�嬧�嬧��
Author: Frank Richard Prieto Medina
Publication: Molina-Meyer, M., & Prieto-Medina, F. R. (2022). Pseudospectral versus Galerkin methods: Fourth order equations.
Journal: Journal of Computational and Applied Mathematics, 413, 114348.
- Thesis: Linearizations of rational matrices (Linealizaciones de matrices racionales)
Author: María del Carmen Quintero Ponce
Publication: Dopico, F. M., Marcaida, S., Quintana, M. C., & Van Dooren, P. (2020). Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems.
Journal: Linear Algebra and its Applications, 604, 441-475
- Thesis: Variable selection algorithms in generalized linear models 鈥嬧�嬧�嬧�嬧�嬧�嬧��
Author: Juan Carlos Laria de la Cruz
Publication: Laria Juan C., Aguilera-Morillo M. Carmen and Lillo Rosa E. (2019). “An iterative sparse-group lasso”.
Journal: Journal of Computational and Graphical Statistics, 28(3), 722-731
- Thesis: Complex networks, data quality, and economics: the road to sustainable growth
Author: Jaime Oliver Huidobro
Publication: Oliver Huidobro, J., Antonioni, A., Lipari, F., & Tamarit, I. (2022). Social capital as a network measure provides new insights on economic growth. 鈥嬧�嬧�嬧�嬧�嬧�嬧��
Journal: Plos one, 17(8), e0273066.
- Thesis: New Models and Methods of Mathematical Optimization in Air Traffic Flow Management
Author: David García Heredia
Publication: García-Heredia, David; Alonso-Ayuso, Antonio; and Molina, Elisenda. (2019). “A Combinatorial model to optimize air traffic flow management problems”. 鈥嬧�嬧�嬧�嬧�嬧�嬧��
Journal: Computers & Operations Research, 112, 104768
- Thesis: Efficient Bayesian inference via Monte Carlo and machine learning algorithms
- Scientific publications
This is a sample of relevant faculty publications:
Department of Statistics
- Ignacio Cascos, María Concepción López-Díaz, Miguel López-Díaz.
Publication: ""
Journal: Applied Mathematical modelling v. 107 (2022) ISSN: 0307-904X
Impact factor: JCR: 5,336 SCOPUS: 1,105 - Yasser Alemán-Gómez, Ana Arribas-Gil, Manuel Desco, Antonio Elías, Juan Romo
Publication:
Journal: Statistics in Medicine v. 41 n. 11 (2022) ISSN: 0277-6715
Impact factor: JCR: 2,497 SCOPUS: 1,371 - Alberto Corredera, Carlos Ruiz
Publication:
Journal: European Journal of Operational Research v. 306 n. 1 (2022) ISSN: 0377-2217
Impact factor: JCR: 6,363 SCOPUS: 2,354 - Yoel G. Yera, Rosa E. Lillo, Bo F. Nielsen, Pepa Ramírez-Cobo, Fabrizio Ruggeri
Publication:
Journal: Reliability Engineering and System Safety v. 208 n. 107318 (2021) - María Eugenia Castellanos, Gonzalo García-Donato, Stefano Cabras
Publication:
Journal: Bayesian Analysis v. 16 n. 1 (2021) ISSN: 1936-0975
Impact factor: JCR: 3,396 SCOPUS: 2,229 - Ling Liu, Belén Martín-Barragán, Francisco J. Prieto
Publication:
Journal: Computers & Industrial Engineering v. 158 n. 107425 (2021) ISSN: 0360-8352
Impact factor: JCR: 7,18 SCOPUS: 1,775 - Juan A. Cuesta-Albertos, Eduardo García-Portugués, Manuel Febrero-Bande, Wenceslao González-Manteiga
Publication:
Journal: Annals of Statistics v. 47 n. 1 (2019) ISSN: 0090-5364
Impact factor: JCR: 4,904 SCOPUS: 6,35 - Iñaki Ucar, Bart Smeets, Arturo Azcorra
Publication:
Journal: Journal of Statistical Software (2019) ISSN: 1548-7660
Impact factor: JCR: 6,992 SCOPUS: 2,852 - Andrew J. Simpkin, Maria Durban, Debbie A. Lawlor, Corrie MacDonald-Wallis, Margaret T. May, Chris Metcalfe, Kate Tilling
Publication:
Journal: Statistics in Medicine v. 37 n. 19 (2018) ISSN: 0277-6715
Impact factor: JCR: 2,497 SCOPUS: 1,371 - Daniel de Almeida, Luiz K. Hotta, Esther Ruiz
Publication:
Journal: International Journal of Forecasting v. 31 n. 1 (2018) ISSN: 0169-2070
Impact factor: JCR: 7,022 SCOPUS: 1,99 - Emilio Carrizosa, Vanesa Guerrero, Dolores Romero Morales
Publication:
Journal: Mathematical Programming v. 169 (2018) ISSN: 0025-5610
Impact factor: JCR: 3,06 SCOPUS: 2,794 - Andrés M. Alonso, Daniel Peña
Publication:
Journal: Statistics and Computing v. 29 n. 4 (2019) ISSN: 0960-3174
Impact factor: JCR: 2,324 SCOPUS: 1,125 - F. Llorente, E. Curbelo, L. Martino, V. Elvira, D. Delgado
Publication:
Journal: Applied Mathematical Modelling v. 111 (2022) ISSN: 0307-904X
Impact factor: JCR: 5,336 SCOPUS: 1,105
UC3M - Santander Big Data Institute
- Tianyu Su, Maoran Sun, Zhuangyuan Fan, Ariel Noyman, Alex Pentland, Esteban Moro
Publication:
Journal: EPJ Data Science v. 11 n. 43 (2022) ISSN: 2193-1127
Impact factor: JCR: 3,262 SCOPUS: 1,071 - Esteban Moro, Morgan R. Frank, Alex Pentland, Alex Rutherford, Manuel Cebrian, Iyad Rahwan
Publication:
Journal: Nature Communications v. 12 n. 1 (2021) ISSN: 2041-1723
Impact factor: JCR: 14,919 SCOPUS: 4,846
Department of Mathematics
- Eduardo Colorado, Alejandro Ortega
Publication:
Journal: Advances in Differential Equations v.28 n. 1/2 (2023) ISSN: 1079-9389
Impact factor: JCR: 1,103 SCOPUS: 0,859 - Yuri Martínez-Ratón, Enrique Velasco
Publication:
Journal: Physical Review E v.106 (2022) ISSN: 2470-0045
Impact factor: JCR: 2,707 SCOPUS: 0,847 - Diego Escribano, José A. Cuesta
Publication:
Journal: Physical Review E v.106 n. 5 (2022) ISSN: 2470-0045
Impact factor: JCR: 2,707 SCOPUS: 0,847 - Marcela Molina-Meyer, Frank Richard Prieto Medina
Publication:
Journal: Communications in Nonlinear Science and Numerical Simulation v. 106 (2022) ISSN: 1007-5704
Impact factor: JCR: 4,186 SCOPUS: 1,146 - Evgenia Christoforou, Antonio Fernández Anta, Angel Sánchez
Publication:
Journal: PLoS One v. 16 - 6 June (2021) ISSN: 1932-6203
Impact factor: JCR: 3,752 SCOPUS: 0,852 - P. Álvarez-Caudevilla, F. Belinchón, C. Brändle
Publication:
Journal: Mediterranean Journal of Mathematics v. 18 n. 6 (2021) ISSN: 1660-5446
Impact factor: JCR: 1,305 SCOPUS: 0,593 - A. Amparan, F.M. Dopico, S. Marcaida, I. Zaballa
Publication:
Journal: Linear Algebra and its Applications v. 623 (2021) ISSN: 0024-3795
Impact factor: JCR: 1,307 SCOPUS: 0,884 - Luis L. Bonilla, Manuel Carretero, Filippo Terragni
Publication:
Journal: International Journal of Nonlinear Sciencies and Numerical Simulation v. 27 n. 7-8 (2020) ISSN: 1565-1339
Impact factor: JCR: 2,156 SCOPUS: 0,478 - F. M. Ciaglia, G. Marmo, J. M. Pérez-Pardo
Publication:
Journal: International Journal of Geometric Methods in Modern Physics v. 16 n. supp01, 1940002 (2019) ISSN: 0219-8878
Impact factor: JCR: 1,873 SCOPUS: 0,375 - Pere Ara, Kang Li, Fernando Lledó, Jianchao Wu
Publication:
Journal: Bulletin of Mathematical Sciences v. 8 n. 2 (2018) ISSN: 1664-3607
Impact factor: JCR: 1,485 SCOPUS: 1,092
- Ignacio Cascos, María Concepción López-Díaz, Miguel López-Díaz.
- Lines of research
- THESIS
Preparation of the thesis
Please check the Guide with recommendations that the University Library has accessible on its website.
You must always follow the guidelines of your thesis advisor, the guidelines of your doctoral program, and the regulations of the Doctoral School.
Thesis defense
The doctoral thesis consists of an original research work developed by the Ph.D. candidate student in the field of knowledge of the program that enables the student for autonomous work in the field of R+D+ i.
91探花 through the Doctoral School establishes the follow-up procedures to guarantee the quality of the doctorate's training and supervision. It also facilitates the procedures for the proper evaluation and defense of the doctoral thesis.
The Academic Committe of the Doctoral Program in Mathematical Engineering has determined that, in order to accept a PhD thesis in the article compendium format, it will be mandatory to feature two articles published in journals indexed in the Journal Citation Report and a third article that has been submitted and has enough quality to be accepted, applicable from February 5th 2024 (as per 搁别蝉辞濒耻肠颈贸苍 by the Academic Committe)
In the case of a thesis by compilation, and to avoid copyright conflicts with journals, it is recommended that the version of each publication included in the thesis dissertation be the finally accepted manuscript (postprint), adding the title, authors, the name of the journal, the DOI, and, where applicable, the volume, year, and page(s).
Further information:
- QUALITY
QUALITY ASSURANCE
The Academic Committee of the Ph.D. complies with the SGIC-UC3M. It is responsible for the quality analysis of the program and produces the Degree Reports ("Memoria Académica de Titulación").
- Academic Committee
- (Restricted access)
QUALITY INDICATORS
COMPLAINTS AND SUGGESTIONS
- CONTACT
Doctoral School Office | Leganés Campus
Rey Pastor Building, Office 3.0.B.08
Avenida de la Universidad, 30
28911 Leganés (Madrid)