Doctoral program in Applied Mathematics Program By Universitat Politècnica de Catalunya · BarcelonaTech (UPC) |Top Universities
Subject Ranking

# 95QS Subject Rankings

Program Duration

36 monthsProgram duration

Tuitionfee

2,001 EURTuition Fee/year

Scholarship

YesScholarships

Program overview

Main Subject

Mathematics

Degree

PhD

Study Level

PHD

Study Mode

On Campus

The objective of the doctoral programme in Applied Mathematics (hereafter, DAM) is to offer training in research techniques in the field of mathematics, which takes shape in the form of formulating and drafting a doctoral thesis. A doctoral thesis is understood to be research work that contains original contributions that are apt to be published in the peer-reviewed communication channels that exist for disseminating quality scientific output.The programme has an interdisciplinary nature in the sense that research into both the more theoretical aspects of mathematics and research aimed at solving problems related to technology are welcomed. In fact, the programme has as another of its objective to provide advanced mathematical training and education to graduates from other disciplines.The DAM collaborates with various mathematics research groups. The UPC focuses mainly on studies related to engineering and architecture, and it is one of the Spanish universities with the most mathematics professors, boasting around 200 in the Department of Mathematics alone, plus those maths professors working in other departments, including Civil and Environmental Engineering, Computer Sciences, and Computer Architecture. Thus, since its foundation, the DAM is and has been the natural offspring of the UPC’s strength in mathematics.The DAM itself is structured around five lines of research1. Algebra and geometry2. Discrete and algorithmic mathematics3. Modelling in engineering and biomedical sciences4. Differential equations5. Scientific computingThese lines of research reflect the main areas of focus of the mathematics research groups at the UPC.The School of Mathematics and Statistics (FME, by its Catalan acronym) is the body that oversees the DAM, and it serves as a natural meeting point for the UPC’s mathematics community. The FME also offers undergraduate- and master’s-level studies in mathematics, ensuring a quality education in mathematics at all levels. See http://fme.upc.edu/ca/estudis/graus/grau-en-matematiques for the undergraduate programme and http://mamme.masters.upc.edu/en for the master’s programme in Applied Mathematics and Mathematical Engineering (MAMME).It is also worth mentioning the Barcelona Graduate School of Mathematics (BGSMath, https://bgsmath.cat/), an organisation where research groups, researchers and especially doctoral candidates in the field of mathematics meet. Four universities and the Centre for Mathematics Research are involved with the School, and mathematics researchers from the UPC contribute at all levels.The programme coordinator, the programme’s Academic Committee and a technical representative from the FME’s administrative staff handle the management of the DAM. The programme’s Academic Committee is made up of the coordinator, the dean of the FME, the director of the Department of Mathematics or the person whom he/she delegates, a professor from each of the five lines of research, the head of services and management of the FME or the person whom he/she delegates and a student representative (see https://appliedmathematics.postgrau.upc.edu/en/thesis/academic-committee). The programme coordinator is appointed by the dean of the FME and must be approved by the Academic Committee.

Program overview

Main Subject

Mathematics

Degree

PhD

Study Level

PHD

Study Mode

On Campus

The objective of the doctoral programme in Applied Mathematics (hereafter, DAM) is to offer training in research techniques in the field of mathematics, which takes shape in the form of formulating and drafting a doctoral thesis. A doctoral thesis is understood to be research work that contains original contributions that are apt to be published in the peer-reviewed communication channels that exist for disseminating quality scientific output.The programme has an interdisciplinary nature in the sense that research into both the more theoretical aspects of mathematics and research aimed at solving problems related to technology are welcomed. In fact, the programme has as another of its objective to provide advanced mathematical training and education to graduates from other disciplines.The DAM collaborates with various mathematics research groups. The UPC focuses mainly on studies related to engineering and architecture, and it is one of the Spanish universities with the most mathematics professors, boasting around 200 in the Department of Mathematics alone, plus those maths professors working in other departments, including Civil and Environmental Engineering, Computer Sciences, and Computer Architecture. Thus, since its foundation, the DAM is and has been the natural offspring of the UPC’s strength in mathematics.The DAM itself is structured around five lines of research1. Algebra and geometry2. Discrete and algorithmic mathematics3. Modelling in engineering and biomedical sciences4. Differential equations5. Scientific computingThese lines of research reflect the main areas of focus of the mathematics research groups at the UPC.The School of Mathematics and Statistics (FME, by its Catalan acronym) is the body that oversees the DAM, and it serves as a natural meeting point for the UPC’s mathematics community. The FME also offers undergraduate- and master’s-level studies in mathematics, ensuring a quality education in mathematics at all levels. See http://fme.upc.edu/ca/estudis/graus/grau-en-matematiques for the undergraduate programme and http://mamme.masters.upc.edu/en for the master’s programme in Applied Mathematics and Mathematical Engineering (MAMME).It is also worth mentioning the Barcelona Graduate School of Mathematics (BGSMath, https://bgsmath.cat/), an organisation where research groups, researchers and especially doctoral candidates in the field of mathematics meet. Four universities and the Centre for Mathematics Research are involved with the School, and mathematics researchers from the UPC contribute at all levels.The programme coordinator, the programme’s Academic Committee and a technical representative from the FME’s administrative staff handle the management of the DAM. The programme’s Academic Committee is made up of the coordinator, the dean of the FME, the director of the Department of Mathematics or the person whom he/she delegates, a professor from each of the five lines of research, the head of services and management of the FME or the person whom he/she delegates and a student representative (see https://appliedmathematics.postgrau.upc.edu/en/thesis/academic-committee). The programme coordinator is appointed by the dean of the FME and must be approved by the Academic Committee.

Admission requirements

Undergraduate

160+
5.5+
59+
72+

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(open in new window))

In addition, the following may apply:

  • Holders of an official degree awarded by a university in Spain or any other country in the European Higher Education Area, pursuant to the provisions of Article 16 of Royal Decree 1393/2007, of 29 October, which establishes official university course regulations, who have completed a minimum of 300 ECTS credits on official university degrees, of which at least 60 must be at the master's degree level.
  • Holders of an official Spanish bachelor’s degree comprising at least 300 credits, as provided for by EU regulations. Holder of degrees of this kind must complete bridging courses unless the curriculum of the bachelor’s degree in question included research training credits equivalent in value to those which would be earned on a master's degree.
  • Holders of an official university qualification who, having passed the entrance examination for specialised medical training, have completed at least two years of a training course leading to an official degree in a health-sciences specialisation.
  • Holders of a degree issued under a foreign education system. In these cases, homologation is not required, but the UPC must verify that the degree certifies a level of training equivalent to an official Spanish master's degree and qualifies the holder for admission to doctoral studies in the country where it was issued. Admission on this basis does not imply homologation of the foreign degree or its recognition for any purpose other than admission to doctoral studies.
  • Holders of a Spanish doctoral qualification issued under previous university regulations.
  • Note 1: Doctoral studies entrance regulations for holders of an undergraduate degree awarded before the introduction of the EHEA (CG 47/02 2014)

3 Years
Sep
  • Candidates are required to submit references or letter(s) of recommendation for acceptance
  • Candidates are required to submit an essay(s) for acceptance

Tuition fee and scholarships

Domestic Students

2,001 EUR
-

International Students

2,001 EUR
-

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Universitat Politècnica de Catalunya · BarcelonaTech is a public institution of Higher Education and Research.

UPC offers 66  bachelor’s degrees (some 100% taught in English) in the knowledge areas:

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All of them are official Spanish degrees that allows the access to master's  and doctoral programmes .

30,275 students are trained to become professionals in engineering, architecture, sciences and technology who have the knowledge, abilities and skill to take on new challenges in keeping with technological efficiency and sustainability criteria.

Student’s participation and leadership in research projects and work placements foster their relations with the world of work and bolster their autonomy and initiative. The University is therefore a space for knowledge that stimulates learning and personal growth with a dynamic, motivating teaching model.

In the 2021 edition of QS World University ranking by Subject, the UPC is ranked 20th in the world in Architecture and 29th in Civil and Structural Engineering. It is also among the world’s top 50 universities in Telecommunications, Electrical and Electronic Engineering, and among the world's top 100 universities in the field of Engineering and Technology and in the subjects of Computer Science, and Mechanical, Aeronautical and Industrial Engineering. It is the first Spanish University in Engineering and Technology and in Architecture, Civil Engineering, Telecommunications, Electrical and Electronic Engineering, and Computer Science.

The  Universitat Politècnica de Catalunya · BarcelonaTech (UPC) is a public institution dedicated to higher education and research, specialised in the areas of Architecture, Engineering, Science and Technology offers 81  master’s degrees , 34 of them taught fully in English.

UPC is the Spanish university with the highest number of international university students. Last year, the 55% doctoral students were international (79% of them non EU).

As a leading member of international networks of excellence, the UPC has a relationship with global organisations. As a result, it’s at an advantage when it comes to attracting international talent.

Its offers 45  doctoral programmes in five research areas:

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UPC also participate in Erasmus Mundus programme . This programmes shared between at least three European universities that have the support of the European Union. Erasmus Mundus are part of a cooperation and mobility programme for European higher education that aims to improve its quality and promote dialogue and understanding between people and cultures by means of cooperation with third countries.

In the 2021 edition of QS World University ranking by Subject, the UPC is ranked 20th in the world in Architecture and 29th in Civil and Structural Engineering. It is also among the world’s top 50 universities in Telecommunications, Electrical and Electronic Engineering, and among the world's top 100 universities in the field of Engineering and Technology and in the subjects of Computer Science, and Mechanical, Aeronautical and Industrial Engineering. It is the first Spanish University in Engineering and Technology and in Architecture, Civil Engineering, Telecommunications, Electrical and Electronic Engineering, and Computer Science.

PHD programs