Dates: June-July 2024
Place: Zagreb, Croatia
Rationale
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
Admission
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 Schedule | Ireland time | Croatia and Poland time | Finland and Turkey time |
|---|---|---|---|
| Algebraic Geometry Anca Mustata, University College Cork | 9:00 – 10:30 | 10:00 – 11:30 | 11:00 – 12:30 |
| Hilbert Spaces Andrzej Łuczak, University of Łodz | 11:00 – 12:30 | 12:00 – 13:30 | 13:00 – 14:30 |
| Spectral Theory Luka Grubišić, University of Zagreb | 15:30 – 17:00 | 16:30 – 18:00 | 17:30 – 19:00 |
Programme Overview for the week 24.6-30.6
The lectures will be held at the lecture hall 108, located on the first floor.
| Time slot | Monday 24.6 | Tuesday 25.6 | Wednesday 26.6 | Thursday 27.6 | Friday 28.6 | Saturday 29.6 | Sunday 30.6 |
|---|---|---|---|---|---|---|---|
| 09-11 | Algebraic geometry I | Algebraic geometry II | Hilbert space theory V | Algebraic geometry III | Spectral theory IV | Spectral theory V | Discussion |
| 11-13 | Hilbert space theory I | Hilbert space theory III | Spectral theory I | Spectral theory II | Algebraic geometry IV | Question and Answer | Discussion |
| 13-15 | LUNCH and discussion | LUNCH and discussion | LUNCH and discussion | LUNCH and discussion | LUNCH and discussion | LUNCH and discussion | LUNCH |
| 15-17 | Hilbert space theory II | Hilbert space theory IV | Free afternoon | Spectral theory III | Algebraic geometry V | Free afternoon | Free 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.
Organizers
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