Master in Advanced Mathematics at the University of Barcelona


The Master in Advanced Mathematics is intended for graduate students with certificates (“licenciatura”) or bachelor’s degrees in Mathematics. It is also open to holders of other diplomas, but having an advanced background in this subject.

The master also provides students with general skills and methodological tools to pursue scientific or professional activities and enhance their ability to work in interdisciplinary environments, knowledge to express mathematical ideas correctly in oral presentations and written work, and introduces them to the relevant computer technologies needed for these aims. This master can be done jointly with the Master in Fundamental Principles of Data Science, in a double itinerary.

Main Aims

  • To provide advanced training in mathematics.

  • To introduce students to the world of research in preparation for PhD studies.

  • To offer professional specialization preparing students for skilled positions in university teaching and research, government, industry, banking, finance and insurance, consultancy, information and communication technologies, and other related areas.



To obtain the Master’s Degree in Advanced Mathematics, students must complete 60 ECTS credits and, if necessary, some bridging courses.

Each student will be assigned a tutor who will help them choose courses, based on the student’s background and professional goals.

The courses included in the Master’s Degree syllabus belong to several different areas of Mathematics.

Mandatory courses

  • Advanced Methodology in Mathematics (3 ECTS)

  • Functional Analysis and Partial Differential Equations (6 ECTS)

  • Geometry and Topology of Manifolds (6 ECTS)

(*) We are working in a modification of the list of mandatory courses for the next course 2019-20.

Optional courses

  • Algebraic Curves

  • Applied Harmonic Analysis

  • Complex Analysis in One and Several Variables

  • Computational Algebra

  • Dynamical Systems

  • Geometrical Methods in Number Theory

  • Local Algebra

  • Logic and Algebra

  • Quantitative Finance

  • Simulation Methods

  • Stochastic Calculus

Each of the optional courses has a study load of 6 ECTS credits. Students must choose a total of five optional courses, and conclude with a Final Project of 15 ECTS. The final project must be carried out under the supervision of a lecturer at the Faculty of Mathematics and Computer Science. Students may base their final project on an internship carried out with a company.



Academic Calendar: 2 Semesters: September-January and February-June

Class schedule: mornings and early afternoons, Monday to Friday

Total Study Load: 60 ECTS

Places Offered: 30

Coordinating University: Universitat de Barcelona

Coordinating Center: Facultat de Matemàtiques i Informàtica

Language of Instruction: English


Coordinator: Xavier Jarque i Ribera
email address:

Contact details: Secretary’s Office for Students and Teaching Staff at the Faculty of Mathematics and Computer Science
email address:
Phone: (+34) 934 021 597

Pre-enrolment for the Academic Course 2019/2020

General information: Pre-enrolment for the master’s degree in Advanced Mathematics must be completed online at the following link: MASTER’S DEGREE IN ADVANCED MATHEMATICS

Once the application online has been filled, to complete the pre-enrolment process, applicants must pay the pre-enrolment fee and submit the following documents to the Secretary’s Office for Students and Teaching Staff at the Faculty of Mathematics and Computer Science , either by e-mail ( or by regular mail /in person (Facultat de Matemàtiques i Informàtica, Universitat de Barcelona, Gran Via de les Corts Catalanes, 585. 08007 Barcelona):

  1. Personal identification: NIF or NIE or PASSPORT.
  2. A copy of the degree certificate.
  3. A copy of your Transcript of Records in either Catalan, English, or Spanish.
  4. Curriculum vitae.
  5. Official accreditation of English-language skills, if applicable.
  • Prof. María Jesús Carro
  • Prof. José Manuel Corcuera
  • – Ms. Aina Ferrà Marcús (Student)
  • Prof. Xavier Jarque (Coordinator)
  • Prof. Joan Gispert Brasó
  • Prof. José Javier Gutiérrez
  • – Prof. Àngel Jorba
  • – Ms. Rocío Molina (Secretary)
  • Prof. Santiago Zarzuela Armengou