Dates: June-July 2024

Place: Zagreb, Croatia


This summer school will focus on key topics in Mathematics including spectral theory, algebraic geometry, and elements of the theory of Hilbert spaces. The summer school will contribute to developing students’ understanding around these topics and serve to introduce them to peers across UNIC institutions and beyond.

Advanced undergraduate students are welcome to participate in this Summer School. The students are required to have received at least 90 ECTS credits. Students who successfully finish the programme will be awardrs 5 ECTS credits.

Summer School Highlights

Admitted participants will receive Mobility Grant to cover the Summer School expenses. For more information, please refer to the Admission section below.

  • The Summer School is organized in Zagreb, from 24-30 June 2024.
  • During June, before the Summer School there will be virtual lectures (2 lectures for each of 3 topics)
  • The students will be assigned projects which will include preparing a short written report. It will be encouraged that students from different universities work together in groups. The projects can include practical work, like performing basic numerical simulations for the purposes of illustrating concepts or literature reviews. The report submission date is 31 August 2024.

Lectures will be given by leading academics and will be focused on diverse topics:

  • Luka Grubišić (University of Zagreb): Spectral theory
  • Andrzej Łuczak (Łodz University): Elements of the theory of Hilbert spaces
  • Anca Mustata (University College Cork): Algebraic Geometry


The Summer School is mostly free-of-charge (no tuition fees; participants can ask for mobility grant support from their home university or other funds under specific conditions. Please contact the international office of your home university for information). It is reserved for undergraduate students in their 2nd and 3rd of study year and have received at least 90 ECTS credits in mathematical courses or for 1st year graduate students.

Are you interested?

Let us know by submitting your application 31 May 2024 using the following form. For obtaining the mobility grant from your home university you will also need to submit the Academic transcript.

If you are among the selected participants, you will receive further information to access grants that will cover most of your costs when joining this Summer School.

What can you expect in return?

For this whole process:

  • Undertaking virtual component of Summer School
  • Taking part in the Summer School
  • Submitting the report for the assigned project

You will be granted an official enrollment document, stating that you received 5 (ECTS) credits for having succeeded in a University of Zagreb advanced course.

It will then be necessary for you to approach your own home university to see how these 5 credits might fit into your program.

Programme Overview for the virtual lectures

14.6 (Friday) 3 x virtual lecture: Review of course material
20.6 (Friday) 3 x virtual lecture: Introduction to the topics

14 and 20 June 2024 Virtual Lecture ScheduleIreland timeCroatia and Poland timeFinland and Turkey time
Algebraic Geometry
Anca Mustata, University College Cork
9:00 – 10:3010:00 – 11:3011:00 – 12:30
Hilbert Spaces
Andrzej Łuczak, University of Łodz
11:00 – 12:3012:00 – 13:3013:00 – 14:30
Spectral Theory
Luka Grubišić, University of Zagreb
15:30 – 17:0016:30 – 18:0017:30 – 19:00

Programme Overview for the week 24.6-30.6

Time slotMonday
09-11Algebraic geometry IAlgebraic geometry IIHilbert space theory VAlgebraic geometry IIISpectral theory IVSpectral theory VDiscussion
11-13Hilbert space theory IHilbert space theory IIISpectral theory ISpectral theory IIAlgebraic geometry IVQuestion and AnswerDiscussion
13-15LUNCH and discussionLUNCH and discussionLUNCH and discussionLUNCH and discussionLUNCH and discussionLUNCH and discussionLUNCH
15-17Hilbert space theory IIHilbert space theory IVFree afternoonSpectral theory IIIAlgebraic geometry VFree afternoonFree afternoon

You can download the detailed syllabus of the course here.

Getting there

Zagreb airport is well connected to many major cities of the world, either directly or by the international airports in Split and Dubrovnik.

From Zagreb airport you can arrive to the city center by using shuttle bus, public transportation or taxi.

The event will take place at the Department of Mathematics, Faculty of Science, Bijenička cesta 30, HR-10000 Zagreb, Croatia. The accommodation will be organized at student dormitories of University of Zagreb.


The UNIC Mathematics Summer School is organized by the European University of Post-Industrial Cities (UNIC) network. UNIC network consists of ten universities situated in different countries throughout Europe, representing ten different post-industrial cities. Among those 10 universities, 5 contribute to the Summer School.

Organizing committee

  • Ivica Nakić, University of Zagreb
  • Mine Çağlar, Koç University
  • Spyridon Dendrinos, University College Cork
  • Bernard Hazon, University College Cork
  • Aleksandra Orpel, University of Lodz
  • Pekka Salmi, University of Oulu