APEXMaths
APEX Maths 2026, Reșița
APEX Maths 2026 takes place in Reșița, Romania, between July 24th and August 13th
121 Days 12 Hours 11 Minutes
- July 24, 2026 - August 13, 2026
- Reșița, România
The program focuses exclusively on Number Theory and Topology. These two areas have the advantage of being full of beautiful and striking results, while remaining accessible through the study of numerous examples. They also happen to be related to one another in unexpected and deep ways, as we hope that the participants will discover!
The program is designed for students who have a strong background in highschool mathematics (basic algebra, polynomials, function theory, and some familiarity with complex numbers, though not essential, is recommended).
Participants’ age should be between 15 and 20 years old at the camp start. University students’ participation is not permitted.
1. Number theory:
- Euclidean division and the prime numbers
- Modular arithmetic (congruences, Chinese Remainder Theorem)
- Field extensions, algebraic numbers
- Algebraic integers and prime factorization in number fields
- Field automorphisms (and a bit of Galois theory)
- Notions of metric spaces and topological spaces
- Isometries, continuous maps, and deformations
- Covering maps and topological surfaces
- Fundamental groups and universal covers (and a bit of Galois theory)
- Download the selection problems, write up or scan your solutions and submit them by the deadline (April 15);
- Authors of the best solutions will be interviewed (first two weeks of May).
Offers will be made by email starting from May 15th. Late applications will be considered until all the slots are filled.
The city of Reşiţa is in the Western part of Romania, about 80 km away from Timişoara (closest airport, European capital of culture in 2023 – details here).
Information about Reșița on city hall website and WikiTravel.
It is not our goal to do so. Of course, participation in APEX-maths will give you advantages if you decide to participate in maths competitions, but our goal is to provide you with an immersive experience in the real life of high-level mathematicians, that goes well beyond increasing your capacity to solve Olympiads-type problems. Participation at APEX-maths will surely be an advantage if you apply to top universities.
Indicative price at your charge is 1700 euros for the entire APEX-Maths camp. This may slightly vary until the final booking day. This is made possible by the very generous support of our sponsors, which covers the real cost of the event, which is in fact much higher.
IMAR is responsible for the scientific aspects of the program, while InformART is responsible for all the logistics.
If you are selected, the price includes: the Maths courses and seminars, accommodation for the entire period of APEX-Maths camp (newly refurbished rooms of 2 at the Reşiţa campus of the Babeş-Bolyai University), three meals a day, free internet access on the campus, some free time activities.
Things not included in the price: travel costs to and from your home location to Reșița, accompanying person costs (travel, accommodation, subsistence, field trips etc. for accompanying person) and minor traveller costs, travel insurance, laundry costs, extra spendings.
Can the students be accompanied by the parents?
Yes. However, the students must be housed together with the entire group, since one of the goals of the APEX-Maths camp is to create a community of young mathematicians. The parents should make their own arrangements (we can suggest Travel Agencies that can assist you).
Can I contact my child at any time?
Yes. Mobile phones will be available anytime, except for the two hours of daily lectures. There will be an emergency number as well. At all times, there will be at least two experienced staff members with the group. Medical assistance is also available on the site, should there be an emergency.
Once the participation is confirmed, the participant/legal representative of the participant will receive a set of documents including the contracts, payment details, camp regulations, full detailed programme, participant’s personal file, GDPR agreement, as well as suggestions for travel insurance etc. The camp will follow all the strict requirements of safety imposed by Romanian legislation. Transportation and tourist activities will be organised according to the highest safety standards provided by Romanian legislation only by authorised entities.