Disclaimer: I participated in the International Mathematics Olympics and have a Ph.D. in Operations Research which is essentially applied mathematics.
There are some duplications between mathematical Olympiad and research mathematics. However, as others have pointed out, mathematics is a very wide field including subfields such as algebraic topology, theoretical computer science, combinatorial, control theory, optimization, statistics / machine learning. The amount of overlap with the math Olympiad differs greatly depending on which subfield of "research mathematics" is referred. Mathematics Olympiad overlaps with combinatorics, fewer control theory
Mathematics Olympiad training shows how to work out how to work, how to gradually simplify the problem, and how to test a special situation to visually understand how to write logic and complete evidence I learned. I also learned how to enjoy the challenge of sticking to it and solving difficult problems. I think that these skills are also necessary for studying mathematics.
Therefore, I believe that there is a positive correlation, but incomplete correlation between mathematical Olympians' results and research mathematics results. If you are not doing well at IMO, you can become a professor of pure mathematics still succeeded; even if you get a complete score at the International Maritime Organization this is a successful study I do not mean having a math career.
Finally, mathematical Olympic Games is an artificial competition, as problems of the Olympic Games can be solved with relatively few skills in a relatively short time. On the other hand, in the real world, research mathematics is more open, you need to find and define your own research problems, and problems are often solved!
Mathematics study is like real life, it is very awkward and open, but I use analogy like the Olympic math like RPG.
Mathematics Olympiad is aimed at raising interest in mathematics through team competitions and improving participant's mathematical skills. They exist at national and international level and are suitable for students from 4th graders to 12th graders. The most prestigious of these competitions is the International Mathematics Olympiad, high school students from over 100 countries participate each year. The Math Olympiads program (moems.org) was founded in 1977, and the monthly competition is competed in remote areas mainly by the student teams of 4 to 8 years. Mathematical Olympic Games are usually used in elementary and junior high school math clubs. The program holds five games every month during the standard grade. Teachers and team leaders receive annual competitive solutions and other materials. Students and teams receive certificates, medals or trophies based on the results in each game.
International Mathematics Olympiad after 59 years is still a very splendid event, one of the longest-living international education and science competitions. The first international Olympic games were held in 1959 and it was held in Romania. As a participant, I still remember the atmosphere of competition. In terms of the number of participants, it was initially modest, but it soon became a true school for large international competition and for talented students of mathematics and professional mathematicians.
The International Information Olympics (IOI) is an annual competitive program competition for junior high school students. In terms of the number of participating countries, this is the second largest Olympic Games after the International Mathematical Olympics (IOI 83 in 2017). The first IOI was held in Prabetz in Bulgaria in 1989. The game consisted of two days of computer programming and algorithmic problem solving. In addition to programmers as well as creative coders, we can imagine what programmers need to say to the computer to deal with many data related issues. The difficult thing is not mathematics, not programming. Based on competition, each participating country (81 countries in 2012) will compete for up to 4 students