A PhD Degree in Mathematics is an excellent career opportunity, whether you want to pursue a career in research and academia, or if you want to find a job in industry.

Our PhD programme offers the chance to study at the renowned Faculty of Mathematics and Physics at the University of Ljubljana, in the vibrant and beautiful capital city of Slovenia.

Programme details

The Doctoral Programme in Mathematics is a third cycle Bologna degree with 180 ECTS credits. Students are required to have finished a second cycle Bologna degree (or equivalent) in mathematics or a related field. The objective of the doctoral programme is to prepare the students for independent mathematical research at the highest level.

The programme consists of the course work and the individual research under the supervision of an advisor, resulting in a doctoral thesis. The official duration of the programme is 6 semesters (3 years), however most of the students complete the programme within 4 years.

To graduate, students have to complete the following: ­

  • Course work During the three years, a student has to take five one-semester courses, three of which have to be taken from the list of the courses for which lectures are organised, while the other two can be reading courses (for example, in 2015/16, we offered Complex analysis in C^n and Topics in complexity, in 2016/17, Category theory and Foliations, and in 2017/18, Graph colourings and Operator ideals). Reading courses can be supervised by any lecturer at our department.
  • Predoctoral exam During the first year, the student has to pass a predoctoral exam, the role of which is to check the understanding of basic mathematical concepts. For a student with a solid background, no additional preparation is needed. Here are some examples of the predoctoral exam from 2015: spring 2015, autumn 2015.
  • Individual study, research, seminars, and doctoral thesis The major part of the programme is the individual study and research that the student undertakes under the supervision of an advisor. (The advisor has to be chosen by, or assigned to, the student during the first semester.) The progress is periodically reported within one of the research seminars. Individual research should eventually lead to original mathematical results, which are then presented in the doctoral thesis. Publication of at least one article in an international mathematical journal is required before the defense of the thesis takes place.

Why Ljubljana?

We are a large department with many internationally acclaimed researchers, and we consider our PhD programme one of our most valuable assets.

We are also very proud of our city – Ljubljana is a wonderful city to live in!

Do I need to speak Slovene?

Not at all. All our professors speak English, and all the courses and exams are given in English. The University offers courses in Slovene for students who wish to learn the basics of the language. And living in Ljubljana, you will easily get by with little or no Slovene.