Doctoral programme in Applied Mathematics 48 months PHD Programme By Universitat Politècnica de Catalunya - BarcelonaTech (UPC) |TopUniversities

Programme 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 research

1. Algebra and geometry
2. Discrete and algorithmic mathematics
3. Modelling in engineering and biomedical sciences
4. Differential equations
5. Scientific computing

These 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.

Programme 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 research

1. Algebra and geometry
2. Discrete and algorithmic mathematics
3. Modelling in engineering and biomedical sciences
4. Differential equations
5. Scientific computing

These 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

General entrance requirements To gain admission to a doctoral programme, applicants must have an official Spanish bachelor’s degree or equivalent and a university master's degree or equivalent, together comprising a total of at least 300 ECTS credits.
You may also gain admission if you fall into one of the following categories:
1. As a rule, applicants seeking admission to an official doctoral programme must hold a Spanish bachelor’s degree or equivalent and a Spanish master’s degree or equivalent, provided they have passed at least 300 ECTS credits on the two degrees.
2. Any of the following applicants may also gain 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 Spanish Qualifications Framework for Higher Education (https://www.ciencia.gob.es/), provided the degree makes the holder eligible for admission to doctoral studies in the country in which it was awarded. Admission on this basis does not imply homologation of the foreign degree or its recognition for any purpose other than admission to doctoral studies.
c. Holders of degrees awarded in a country that does not belong to the European Higher Education Area, 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 graduate eligible for admission to doctoral studies in the country in which it was awarded. Admission on this basis does not imply homologation of the foreign degree or its recognition for any purpose other than admission to doctoral studies.
d. Holders of another doctoral degree.
e. University graduates who, having previously been awarded a training post in the entrance examination for specialised health training posts, have passed and obtained a positive assessment in at least two years of training on a programme leading to an official qualification in a Health Sciences specialisation.
Specific requirements and admission procedure
Each doctoral programme may have specific requirements for admission in addition to the general requirements. The additional specific requirements that must be met for admission are listed on the web pages for each programme (https://doctorat.upc.edu/en/programmes).
For the admission procedure and calendar, see this section. (https://doctorat.upc.edu/en/future-doctoral-candidates/access-and-admission/admission-procedure)

4 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

Scholarships

Selecting the right scholarship can be a daunting process. With countless options available, students often find themselves overwhelmed and confused. The decision can be especially stressful for those facing financial constraints or pursuing specific academic or career goals.

To help students navigate this challenging process, we recommend the following articles:

More programmes from the university

PHD Programmes 103