Welcome to the official website of the International Tournament of Young Mathematicians!

It is a team competition for high school students from all over the world. Each team should consist of 4 to 6 students, guided and accompanied by one or two adult team leaders.

Its purpose is to stimulate interest in mathematics and its applications, to develop scientific thinking, communication skills and teamwork.

The ITYM developed out of national tournaments in some countries, especially from Eastern Europe.

 The 12th ITYM is being co-organised by the Cervantes Gymnasium AIA-GESS, the International Black Sea University and the Grigol Robakidze University. It will take place in Tbilisi in June 28 - July 5, 2020.
In contrast to olympiads, the problems for the tournament are published several months in advance and contain parts with no known solution.

During the tournament the participating students present their results in a kind of research debate involving Reporter, Opponent, Reviewer and Observer.

The ITYM is supported by leading universities of Europe and has allowed collaboration between professional scientists and youngsters. Thousands of students, teachers and scientists from 17 countries have already benefited from the tournament.

 The problems will be published on March 10 Registration is open until May 1

#### 2018

Problems for the ITYM are suggested by contemporary mathematicians.

▹ Each problem contains parts with no known solution.

▹ Each problem is accessible to high school students, elementary research can be done.

▹ Some problems are advanced and require learning new theory.

▹ The original problems come from fields of algebra, analysis, combinatorics, geometry, number theory and probability.

▹ It is not compulsory to send solutions to all the problems. During the ITYM, every team will present at most three of them.

The official list of problems will be released on March 10, 2020.
 Problems 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 Quiz 2019 2018 2017 2016 2015 2015 (solution) Authors 2009 - 2015
Quiz is a written test of 2.5 hours. Its aim is to check team’s understanding of the problems of the ITYM, competence in involved mathematical fields and solving skills.

During the rounds and the finals, the teams play the four following roles:

Reporter presents the main ideas and results obtained while solving the problem.

Opponent analyses the solution of the reporter and points to inaccuracy and errors in the paper and the presentation.

Reviewer evaluates both the performance of the reporter and the work of the opponent.

Observer only makes important remarks missed by all others.

 $\Large{\color{white}\mathrm{ITYM}=\frac{2\cdot\mathbb{R}\mathrm{ounds}+1\cdot\mathbb{Q}\mathrm{uiz}+\mathbb{F}\mathrm{inals}}{S_{p\mathrm{orts}}+e^{x\mathrm{cursion}}}}$

 Participate in the ITYM: ▹ Form a team of 4, 5 or 6 high school students ▹ Find one or two team leaders such as math teachers, undergraduate or graduate students, or scientists ▹ Register your team before May 1 ▹ Pay the participation fees ▹ Work on the problems ▹ Send your solutions four days before the tournament ▹ Attend the first draws online ▹ Come to the international tournament, follow the rules and enjoy

 MARCH 10  PROBLEMS                 20:00  Publication of the list of               problems  MAY 01  REGISTRATION               23:00  Deadline for registration  JUNE 10  PRELIMINARY WM      23:00  Deadline for preliminary               written materials  JUNE 24  FINAL WM                      23:00  Deadline for final               written materials  JUNE 25  FIRST DRAWS                15:00  First draws online (GMT)  JUNE 28  ARRIVAL                         20:00 Written reviews  21:00  Social event JUNE 29  ROUND 1                          10:00  Opening ceremony  13:00  Round 1  21:00  Draws JUNE 30  QUIZ                                 10:30  Quiz  23:00  Written reviews  JULY 01  ROUND 2                          11:00  Round 2  17:00  Sports  21:00  Draws  JULY 02  EXCURSION                    10:00  Excursion  JULY 03  FREE DAY                        21:00  Written reviews  JULY 04  FINALS                              10:00  Finals  19:00  Closing ceremony  JULY 05  DEPARTURE                   12:00  Departure