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Domagoj Cevid and Borna Vukorepa won 2 golds at the 2013 International Mathematical Olympiad in Colombia

Posted on July 31, 2013September 23, 2026 by Ivana Marija Vidovic and Darko Zubrinic

Winning two gold medals at an IMO is the greatest success of Croatia till now at International Mathematical Olympiads

2013 International Mathematical Olympiad in Colombia.
Left to right: Kristina Ana Škreb (deputy leader of Croatian team), Aleksandar Bulj, Mislav Balunović, Borna Vukorepa, Domagoj Ćevid, Vlatko Crnković, Vlatka Vazdar (members the team), Stipe Vidak (leader of the team).
Domagoj Ćevid and Borna Vukorepa were winners of gold medals for Croatia.

 
Croatian national team of best young Croatian mathematicians participated at the 53rd International Mathematical Olympiad (IMO) in 2013 with 6 competitors, among 97 countries. Two of them,  Domagoj Ćevid and Borna Vukorepa, won the highest prizes – gold medals. Furthermore, for Domagoj it was the second gold medal, since in 2012, he won the first gold medal for Croatia in history.
Vlatko Crnković and Mislav Balunović earned bronze medals, while Vlatka Vazar and Aleksandar Bulj obtained honorable mentions.
The leaders of the Croatian national team were Stipe Vidak and Kristina Ana Škreb. We should point out that the competition is organized on individual basis.
Among the most famous former competitors at IMO’s were Terence Tao (Australia) and Grigorii Perelman (Russia).


It should be noted that some of our best former competitors are now distinguished scientists working in Croatia, like

  • Marko Tadić (Univeristy of Zagreb, Croatia, working in Representation Theory),
  • Andrej Dujella (Univeristy of Zagreb, Croatia, Number Theory) and
  • Pavle Pandžić (University of Zagreb, Croatia, Representation Theory),

or abroad, like

  • Mladen Bestvina (Univeristy of Utah, USA, Topology, Geometry and Group theory) and
  • Ivan Mirković (University of Massachusetts, USA, Geometry that underlies Number Theory and Quantum Field Theory),

to name just a few.

Domagoj Ćevid solving a problem from Geometry

 
The greatest Croatian mathematician in history was Vilim Feller, internationally known as William Feller (1906-1970), one of the founders of Probability Theory as a scientific discipline. He is the only Croatian scientist ever to have obtained the National Medal of Science (or Presidential Award) from a President of the USA. He obtained Presidential Award among others as one of the founders of Mathematical Reviews (he was one of the founders of this prestigious reviewing journal together with professors Otto Neugebaruer and Jacob Tamarkin). Mathematical Reivews is the leading reviewing journal in Mathematical Sciences today, issued by the American Mathematical Society (AMS) since 1940.
Another great Croatian mathematician is professor Zvonimir Janko, University of Heidelberg, internationally known expert in the Theory of Finite Groups, in particular for his discoveries of sporadic groups J1, J2, J3 and J4.

Domagoj Ćevid, two gold medals for Croatia at the International Mathematical Olympiades in 2012 and 2013


International Mathematical Olympiades

Six problems in two  consecutive days, three in the first day and three in the second
Each problem has maximally 7 points
Maximum = 7 x 6 = 42 points
Gold medals: 45 students (score ≥ 31 points).
Silver medals: 92 students (score ≥ 24 points).
Bronze medals: 141 studnts (score ≥ 15 points).
Honourable mentions: 141 students.


General information
Santa Marta, Colombia (Home Page IMO 2013), 18. 7. – 28. 7. 2013
    Number of participating countries: 97
    Number of contestants: 527
Awards
Maximum possible points per contestant: 7+7+7+7+7+7=42
    Gold medals: 45 (score ≥ 31 points).
    Silver medals: 92 (score ≥ 24 points).
    Bronze medals: 141 (score ≥ 15 points).
    Honourable mentions: 141.

 
Problems of the 2013 International Mathematical Olympiad

  • In Croatian lanaguage [PDF]
  • In English language [PDF]

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Related Links
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