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Applications for the Apex XY Programme are open until 26 September, 23:59. Open until 26 September Apply

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Apex Summer School for Teachers

A free summer school in olympiad mathematics for teachers from the regions. Four weeks online, and a week in Lviv for the most committed 🎓

Summer 2026

Applications closed

Dates
8–16 August
Location
Lviv and the Carpathians
Who
For teachers
Places
18

Applications are closed. The next round has not been announced yet.

Teachers in a summer school session

How it went in 2026

150 applications → 65 teachers online → 16 at the Lviv week, from eleven regions. Those places were earned through homework.

Taking part was free: Apex covered accommodation and meals, and the teachers paid their own travel.

The online stage

Four Thursday sessions, 2–23 July, led by Taras Tymoshkevych. Lecture → practice → homework, marked on the 0–7 olympiad scale.

Topics: Helly's theorem · Hall's lemma · mass point geometry · composition of plane motions.

A teacher explaining a geometry problem at the board

The week in Lviv

8–16 August: seven days at UCU and two in the Carpathians. One thread ran through the week: transformation geometry. There were also 14 problems defended aloud, three maths battles and an oral olympiad with no paper.

Beyond the classes: the Lviv Organ Hall, a hike in the mountains and a bonfire.

Voices

This is not one of those "professional development courses" where you click your way to a certificate in half an hour. It will be hard, but it is worth it.

It turns out you can solve geometry in your head — without writing anything down, without the smallest scrap of paper!

I got to be in a student's place. I felt how hard it is. The way I talk to my students will change.