Access profile

The doctoral programme in Applied Mathematics is designed for students with abstract reasoning abilities and interest in solving problems, in addition to having good work habits, being dedicated to studying and having a passion for mathematics. Applicants must have a solid background in mathematics. Along this line, the main undergraduate and master’s degrees that will provide access to this doctoral programme are the following:

Undergraduate degrees:
• Bachelor’s degree in Mathematics
• Bachelor’s degree in Physics
Engineering:
• Bachelor’s degree in Computer Science
• Bachelor’s degree in Statistics

Output profile

Doctoral candidates who complete a doctoral degree will have acquired the following competencies, which are needed to carry out quality research (Royal Decree 99/2011, of 28 January, which regulates official doctoral studies):

a) A systematic understanding of the field of study and a mastery of the research skills and methods related to the field.
b) An ability to conceive, design or create, put into practice and adopt a substantial process of research or creation.
c) An ability to contribute to pushing back the frontiers of knowledge through original research.
d) A capacity for critical analysis and an ability to assess and summarise new and complex ideas.
e) An ability to communicate with the academic and scientific community and with society in general as regards their fields of knowledge in the manner and languages that are typical of the international scientific community to which they belong.
f) An ability to foster scientific, technological, social, artistic and cultural progress in academic and professional contexts within a knowledge-based society.

The award of a doctoral degree must equip the graduate for work in a variety of settings, especially those requiring creativity and innovation. Doctoral graduates must have at least acquired the personal skills needed to:

a) Develop in contexts in which there is little specific information.
b) Find the key questions that must be answered to solve a complex problem.
c) Design, create, develop and undertake original, innovative projects in their field.
d) Work as part of a team and independently in an international or multidisciplinary context.
e) Integrate knowledge, deal with complexity and make judgements with limited information.
f) Offer criticism on and intellectually defend solutions.

Finally, with respect to competencies, doctoral students must:
a) have acquired advanced knowledge at the frontier of their discipline and demonstrated, in the context of internationally recognised scientific research, a deep, detailed and well-grounded understanding of theoretical and practical issues and scientific methodology in one or more research fields;
b) have made an original and significant contribution to scientific research in their field of expertise that has been recognised as such by the international scientific community;
c) have demonstrated that they are capable of designing a research project that serves as a framework for carrying out a critical analysis and assessment of imprecise situations, in which they are able to apply their contributions, expertise and working method to synthesise new and complex ideas that yield a deeper knowledge of the research context in which they work;
d) have developed sufficient autonomy to set up, manage and lead innovative research teams and projects and scientific collaborations (both national and international) within their subject area, in multidisciplinary contexts and, where appropriate, with a substantial element of knowledge transfer;
e) have demonstrated that they are able to carry out their research activity in a socially responsible manner and with scientific integrity;
f) have demonstrated, within their specific scientific context, that they are able to make cultural, social or technological advances and promote innovation in all areas within a knowledge-based society;
g) have demonstrated that they are able to participate in scientific discussions at the international level in their field of expertise and disseminate the results of their research activity to audiences of all kinds.

Number of places

20

Duration of studies and dedication regime

Duration
The maximum period of study for full-time doctoral studies is four years, counted from the date of first enrolment in the relevant programme until the date on which the doctoral thesis is deposited. The academic committee of the doctoral programme may authorise a doctoral candidate to pursue doctoral studies on a part-time basis. In this case, the maximum period of study is seven years from the date of first enrolment in the programme until the date on which the doctoral thesis is deposited. To calculate these periods, the date of deposit is considered to be the date on which the thesis is made publicly available for review.

If a doctoral candidate has a degree of disability equal to or greater than 33%, the maximum period of study is six years for full-time students and nine years for part-time students.

For full-time doctoral candidates, the minimum period of study is two years, counted from the date of an applicant's admission to the programme until the date on which the doctoral thesis is deposited; for part-time doctoral candidates it is four years.

When there are justified grounds for doing so, and the thesis supervisor and academic tutor have given their authorisation, doctoral candidates may request that the academic committee of their doctoral programme exempt them from the requirement to complete this minimum period of study.

Temporary disability leave and leave for the birth of a child, adoption or fostering for the purposes of adoption, temporary foster care, risk during pregnancy or infant feeding, gender violence and any other situation provided for in current regulations do not count towards these periods. Students who find themselves in any of these circumstances must notify the academic committee of the doctoral programme, which must inform the Doctoral School.

Doctoral candidates may request periods of temporary withdrawal from the programme for up to a total of two years. Requests must be justified and addressed to the academic committee responsible for the programme, which will decide whether or not to grant the candidate's request.

Extension of studies
If a doctoral candidate has not applied to deposit their thesis before the expiry of the deadlines specified in the previous section, the academic committee of the doctoral programme may, at the request of the doctoral candidate, authorise an extension of this deadline of one year under the conditions specified for the doctoral programme in question.

Dismissal from the doctoral programme
A doctoral candidate may be dismissed from a doctoral programme for the following reasons:

• The doctoral candidate submitting a justified application to withdraw from the programme.
• The doctoral candidate not having completed their annual enrolment or applied for a temporary interruption.
• The doctoral candidate not having formalised annual enrolment on the day after the end of the authorisation to temporarily interrupt or withdraw from the programme.
• The doctoral candidate receiving a negative reassessment after the deadline set by the academic committee of the doctoral programme to remedy the deficiencies that led to a previous negative assessment.
• The doctoral candidate having been the subject of disciplinary proceedings leading to their suspension or permanent exclusion from the UPC.
• A refusal to authorise the extensions applied for, in accordance with the provisions of Section 3.3 of these regulations.
• The doctoral candidate not having submitted the research plan in the period established in Section 8.2 of these regulations.
• The maximum period of study for the doctoral degree having ended, in accordance with the provisions of Section 3.4 of these regulations.

Dismissal from the programme means that the doctoral candidate cannot continue studying at the UPC and that their academic record will be closed. This notwithstanding, they may apply to the academic committee of the programme for readmission, and the committee must reevaluate the candidate in accordance with the criteria established in the regulations.

A doctoral candidate who has been dismissed due to having exceeded the time limit for completing doctoral studies or due to an unsatisfactory assessment may not be Academic Regulations for Doctoral Studies Universitat Politècnica de Catalunya Page 17 of 33 admitted to the same doctoral programme until at least two years have elapsed from the date of dismissal, as provided for in sections 3.4 and 9.2 of these regulations.

Legal framework

• Royal Decree 99/2011, of 28 January, which regulates official doctoral studies (consolidated version)
• Academic regulations for doctoral studies (CG/2023/09/08)

Organization

• Ventura Capell, Enric

• Burillo Puig, Pep
• Fuste Pratdesaba, Jaume
• Guardia Rubies, Jordi
• Huguet Casades, Gemma
• Martin de la Torre, Pau
• Muñoz Romero, Jose Javier
• Saludes Closa, Jordi
• Serra Albo, Oriol
• Ventura Capell, Enric

• School of Mathematics and Statistics (PROMOTORA)
• Barcelona Supercomputing Center-Centro Nacional de Supercomputación
• Department of Civil and Environmental Engineering
• Department of Mathematics
• Institute of Robotics and Industrial Informatics

Agreements with other institutions

Access profile

The doctoral programme in Applied Mathematics is designed for students with abstract reasoning abilities and interest in solving problems, in addition to having good work habits, being dedicated to studying and having a passion for mathematics. Applicants must have a solid background in mathematics. Along this line, the main undergraduate and master’s degrees that will provide access to this doctoral programme are the following:

Undergraduate degrees:
• Bachelor’s degree in Mathematics
• Bachelor’s degree in Physics
Engineering:
• Bachelor’s degree in Computer Science
• Bachelor’s degree in Statistics

Access requirements

As a rule, applicants must hold a Spanish bachelor's degree or equivalent and a Spanish master's degree or equivalent, provided they have completed a minimum of 300 ECTS credits on the two degrees (Royal Decree 43/2015, of 2 February).

Applicants who meet one or more of the following conditions are also eligible for admission:

a) Holders of official Spanish degrees or equivalent Spanish qualifications, provided they have passed 300 ECTS credits in total and they can prove they have reached Level 3 in the Spanish Qualifications Framework for Higher Education.
b) Holders of degrees awarded in foreign education systems in the European Higher Education Area (EHEA), which do not require homologation, who can prove that they have reached Level 7 in the European Qualifications Framework, provided the degree makes the holder eligible for admission to doctoral studies in the country in which it was awarded.
c) Holders of degrees awarded in a country that does not belong to the EHEA, which do not require homologation, on the condition that the University is able to verify that the degree is of a level equivalent to that of official university master's degrees in Spain and that it makes the holder eligible for admission to doctoral studies in the country in which it was awarded.
d) Holders of another doctoral degree.
e) Holders of an official university qualification who, having been awarded a post as a trainee in the entrance examination for specialised medical training, have successfully completed at least two years of training leading to an official degree in a health sciences specialisation.

Note 1: Regulations for access to doctoral studies for individuals with degrees in bachelor's, engineering, or architecture under the system prior to the implementation of the EHEA (CG 47/02 2014).

Note 2: Agreement number 64/2014 of the Governing Council approving the procedure and criteria for assessing the academic requirements for admission to doctoral studies with non-homologated foreign degrees (CG 25/03 2014).

Legal framework

• Royal Decree 99/2011, of 28 January, which regulates official doctoral studies (consolidated version)
• Academic regulations for doctoral studies (CG/2023/09/08)

Admission criteria and merits assessment

During the admission process, the following elements will be considered (with their associated weights):

• Academic transcript from the applicant’s undergraduate and master’s programmes (70%).

• CV (10%).

• Motivation letter and/or personal interview (10%).

• Two letters of recommendation from professors/researchers (10%).

These criteria will be published on the programme’s web page. The final score will be used as the admission criteria in the case that demand exceeds the number of available seats.

There is no provision for entrance exams or any specific entrance tests. If candidates’ backgrounds in mathematics or the subject of the candidates’ doctoral theses so require, they will be required to take bridging courses in the master’s programme in Advanced Mathematics and Mathematical Engineering (MAMME), the official master’s programme offered by the FME that is associated with this doctoral programme.

Training complements

The academic committee for the programme may require that doctoral students pass specific bridging courses. In such cases, the committee will keep track of the bridging courses completed and establish appropriate criteria to limit their duration. The courses could involve training in research or transversal education, but in no case will candidates be required to enrol in 60 or more ECTS credits.

Depending on the doctoral student activity report, the programme’s Academic Committee may propose measures, in addition to those established by current regulations, that would disassociate candidates who do not meet the established requisites.

Additionally, students who require it based on their previous education and the subject of their thesis, will have to take courses from the master’s programme in Advanced Mathematics and Mathematical Engineering (MAMME) offered by the School of Mathematics and Statistics. A detailed list of the subjects offered is listed hereafter:

Enrolment period for new doctoral students

All up-to-date information can be found on the FME’s web page: https://fme.upc.edu/ca/curs-actual/matricula/estudiants-de-doctorat

More information at the registration section for new doctoral students

Enrolment period

All up-to-date information can be found on the FME’s web page: https://fme.upc.edu/ca/curs-actual/matricula/estudiants-de-doctorat

More information at the general registration section

Procedure for the preparation and defense of the research plan

Doctoral candidates must submit a research plan, which will be included in their doctoral student activity report, before the end of the first year. The plan may be improved over the course of the doctoral degree. It must be endorsed by the tutor and the supervisor, and it must include the method that is to be followed and the aims of the research.

At least one of these annual assessments will include a public presentation and defence of the research plan and work done before a committee composed of three doctoral degree holders, which will be conducted in the manner determined by each academic committee. The examination committee awards a Pass or Fail mark. A Pass mark is a prerequisite for continuing on the doctoral programme. Doctoral candidates awarded a Fail mark must submit a new research plan for assessment by the academic committee of the doctoral programme within six months.

The committee assesses the research plan every year, in addition to all of the other activities in the doctoral student activity report. Doctoral candidates who are awarded two consecutive Fail marks for the research plan will be obliged to definitely withdraw from the programme.

If they change the subject of their thesis, they must submit a new research plan.

Formation activities

Procedure for assignment of tutor and thesis director

The academic committee of the doctoral programme assigns a thesis supervisor to each doctoral candidate when they are admitted or enrol for the first time, taking account of the thesis supervision commitment referred to in the admission decision.

The thesis supervisor will ensure that training activities carried out by the doctoral candidate are coherent and suitable, and that the topic of the candidate’s doctoral thesis will have an impact and make a novel contribution to knowledge in the relevant field. The thesis supervisor will also guide the doctoral candidate in planning the thesis and, if necessary, tailoring it to any other projects or activities undertaken. The thesis supervisor will generally be a UPC professor or researcher who holds a doctoral degree and has documented research experience. This includes PhD-holding staff at associated schools (as determined by the Governing Council) and UPC-affiliated research institutes (in accordance with corresponding collaboration and affiliation agreements). When thesis supervisors are UPC staff members, they also act as the doctoral candidate’s tutor.

PhD holders who do not meet these criteria (as a result of their contractual relationship or the nature of the institution to which they are attached) must be approved by the UPC Doctoral School's Standing Committee in order to participate in a doctoral programme as researchers with documented research experience.

The academic committee of the doctoral programme may approve the appointment of a PhD-holding expert who is not a UPC staff member as a candidate’s thesis supervisor. In such cases, the prior authorisation of the UPC Doctoral School's Standing Committee is required. A UPC staff member who holds a doctoral degree and has documented research experience must also be proposed to act as a co-supervisor, or as the doctoral candidate’s tutor if one has not been assigned.

A thesis supervisor may step down from this role if there are justified reasons (recognised as valid by the committee) for doing so. If this occurs, the academic committee of the doctoral programme will assign the doctoral candidate a new thesis supervisor.

Provided there are justified reasons for doing so, and after hearing any relevant input from the doctoral candidate, the academic committee of the doctoral programme may assign a new thesis supervisor at any time during the period of doctoral study.

If there are academic reasons for doing so (an interdisciplinary topic, joint or international programmes, etc.) and the academic committee of the programme gives its approval, an additional thesis supervisor may be assigned. Supervisors and co-supervisors have the same responsibilities and academic recognition.

The maximum number of supervisors of a doctoral thesis is two: a supervisor and a co-supervisor.

For theses carried out under a cotutelle agreement or as part of an Industrial Doctorate, if necessary and if the agreement foresees it this maximum number of supervisors may not apply. This notwithstanding, the maximum number of supervisors belonging to the UPC is two.

More information at the PhD theses section

Permanence

The maximum period of study for full-time doctoral studies is four years, counted from the date of first enrolment in the relevant programme until the date on which the doctoral thesis is deposited. The academic committee of the doctoral programme may authorise a doctoral candidate to pursue doctoral studies on a part-time basis. In this case, the maximum period of study is seven years from the date of first enrolment in the programme until the date on which the doctoral thesis is deposited. To calculate these periods, the date of deposit is considered to be the date on which the thesis is made publicly available for review.

If a doctoral candidate has a degree of disability equal to or greater than 33%, the maximum period of study is six years for full-time students and nine years for part-time students.

If a doctoral candidate has not applied to deposit their thesis before the expiry of the deadlines specified in the previous section, the academic committee of the doctoral programme may, at the request of the doctoral candidate, authorise an extension of this deadline of one year under the conditions specified for the doctoral programme in question.

Dismissal from the doctoral programme
A doctoral candidate may be dismissed from a doctoral programme for the following reasons:

• The doctoral candidate submitting a justified application to withdraw from the programme.
• The doctoral candidate not having completed their annual enrolment or applied for a temporary interruption.
• The doctoral candidate not having formalised annual enrolment on the day after the end of the authorisation to temporarily interrupt or withdraw from the programme.
• The doctoral candidate receiving a negative reassessment after the deadline set by the academic committee of the doctoral programme to remedy the deficiencies that led to a previous negative assessment.
• The doctoral candidate having been the subject of disciplinary proceedings leading to their suspension or permanent exclusion from the UPC.
• A refusal to authorise the extensions applied for, in accordance with the provisions of Section 3.3 of these regulations.
• The doctoral candidate not having submitted the research plan in the period established in Section 8.2 of these regulations.
• The maximum period of study for the doctoral degree having ended, in accordance with the provisions of Section 3.4 of these regulations.

Dismissal from the programme means that the doctoral candidate cannot continue studying at the UPC and that their academic record will be closed. This notwithstanding, they may apply to the academic committee of the programme for readmission, and the committee must reevaluate the candidate in accordance with the criteria established in the regulations.

A doctoral candidate who has been dismissed due to having exceeded the time limit for completing doctoral studies or due to an unsatisfactory assessment may not be Academic Regulations for Doctoral Studies Universitat Politècnica de Catalunya Page 17 of 33 admitted to the same doctoral programme until at least two years have elapsed from the date of dismissal, as provided for in sections 3.4 and 9.2 of these regulations.

Legal framework

• Royal Decree 99/2011, of 28 January, which regulates official doctoral studies (consolidated version)
• Academic regulations for doctoral studies (CG/2023/09/08)

List of authorized thesis for defense

Last update: 21/12/2024 05:45:09.

List of lodged theses

Last update: 21/12/2024 05:30:21.

List of defended theses by year

Select a year: 2015201620172018201920202021202220232024

Last update: 21/12/2024 06:01:46.

Research groups

UPC groups:

• ACES-Advanced Control of Energy Systems
• ALBCOM-Algorithms, Computational Biology, Complexity and Formal Methods
• CoDAlab-Control, Data and Artificial Intelligence
• COMBGRAPH-Combinatorics, Graph Theory and Applications
• DAMA-UPC-Data Management Group
• DCG-Discrete and Combinatorial Geometry
• gAGE-Research Group of Astronomy and Geomatics
• GAPCOMB-Geometric, Algebraic and Probabilistic Combinatorics
• GEOMVAP-Geometry of Manifolds and Applications
• GIES-Geophysics and Earthquake Engineering
• GNOM-Mathematical Optimization Group
• GRAA-Research Group in Applied Analysis
• GREC-Knowledge Engineering Research Group
• GRHCT-Group of Research on History of Science and Technology
• GRTJ-Game Theory Research Group
• INSIDE-Innovation in Systems for Engineering Design and Training
• KEMLG-Knowledge Engineering and Machine Learning Group
• L'AIRE-Laboratory of Aeronautical and Industrial Research and Studies
• LACAN - UPC-Numerical Methods for Applied Sciences and Engineering
• LARCA-Laboratory of Relational Algorithmics, Complexity and Learnability
• MAK-Mathematics Applied to Cryptography
• MAPTHE-Matrix Analysis and Discrete Potential Theory
• SAC-Advanced Control Systems
• SARTI-MAR-Sistemes d'Adquisicio Remota de dades i Tractament de la Informacio en el Medi Mari
• TN-Number Theory Research Group
• VIS-Artificial Vision and Intelligent Systems

Teachers

Doctoral Programme teachers

• Acho Zuppa, Leo
• Alberich Carramiñana, Maria
• Alvarez Montaner, Josep
• Amoros Torrent, Jaume
• Arias Vicente, Irene
• Arroyo Balaguer, Marino
• Baldoma Barraca, Inmaculada
• Ball, Simeon Michael
• Barja Yañez, Miguel Angel
• Batlle Arnau, Carles
• Burillo Puig, Pep
• Cabre Vilagut, Xavier
• Carmona Mejias, Angeles
• Casanellas Rius, Marta
• Codina Rovira, Ramon
• Comellas Padro, Francesc de Paula
• Delshams i Valdes, Amadeu
• Diez Mejia, Pedro
• Encinas Bachiller, Andres Marcos
• Fabrega Canudas, Josep
• Farre Cirera, Rafel
• Fernandez Mendez, Sonia
• Fernandez Sanchez, Jesus
• Ferrer Biosca, Alberto
• Fiol Mora, Miguel Angel
• Franch Bullich, Jaume
• Freixas Bosch, Josep
• Gargallo Peiró, Abel
• Giacomini, Matteo
• Gimenez Pradales, Jose Miguel
• Gracia Sabate, Xavier
• Guillamon Grabolosa, Antoni
• Herranz Sotoca, Javier
• Huemer, Clemens
• Huerta Cerezuela, Antonio
• Huguet Casades, Gemma
• Lario Loyo, Joan C.
• Lazaro Ochoa, Jose Tomas
• Martí Farré, Jaume
• Martin de la Torre, Pau
• Martinez-Seara Alonso, Maria Teresa
• Masdemont Soler, Josep Joaquim
• Massa Esteve, Maria Rosa
• Miranda Galceran, Eva
• Mitjana Riera, Margarida
• Molina Blanco, Santiago
• Molinero Albareda, Xavier
• Mora Gine, Mercè
• Morillo Bosch, Maria Paz
• Muñoz Romero, Jose Javier
• Myers, Timothy
• Noy Serrano, Marc
• Olle Torner, Maria Mercedes
• Perarnau Llobet, Guillem
• Planas Penades, Francesc
• Pozo Montero, Francesc
• Puente del Campo, Maria Albina
• Pujol Vazquez, Gisela
• Quer Bosor, Jordi
• Requilé, Clement
• Rio Doval, Anna
• Roca Navarro, Francisco
• Rodellar Benede, Jose
• Rodriguez del Rio, Oscar
• Rodriguez Ferran, Antonio
• Roman Roy, Narciso
• Rotger Cerdà, Victor
• Rue Perna, Juan Jose
• Ruiz, Eloi
• Saari, Olli
• Saez Viñas, Pablo
• Sainz Sapera, Luis
• Sanchez Soler, Mónica
• Sarrate Ramos, Jose
• Serra Albo, Oriol
• Silveira Isoba, Rodrigo Ignacio
• Soler Villanueva, Jaume
• Susin Sanchez, Antonio
• Ventura Capell, Enric
• Vidal Segui, Yolanda
• Villar Santos, Jorge Luis

External teachers

Trepat, Xavier

Dalfó, Cristina

Gomis, Joaquim

Valdinoci, Enrico

Chinesta, Francisco José

Kurz , Sascha

Larraia, Enrique

Gónzalez, Maria del Mar

Cajas, Juan Carlos

Streng, Marco

López, Susana Clara

Gómez, Gerard

Alvarez, Francesc

Owen, Herbert

Crespo, Maria Teresa

Monleon, Antonio

Fleixas, Gerard

Lugosi, Gabor

Agell, Nuria

Logares, Ramiro

Bose, Prosenjit

Aguado, Jazmín

Fernández, Ramsés

Guitart, Xavier

Ruiz, Eloi

Borrell, Richard

Lehmkuhl, Oriol

Badia, Santiago