— Demonstrated exceptional performance in mathematical competitions or competitive programming contests, such as winning gold or silver medals at the International Mathematical Olympiad (IMO) and the International Olympiad in Informatics (IOI), earning any medals at the International Collegiate Programming Contest (ICPC), ranking in the top 10 at the International Mathematics Competition (IMC), Google Hash Code, Google Code Jam, or Facebook Hacker Cup;
— Strong understanding of probability theory and mathematical statistics;
— Some experience with C++, although not necessarily in an industrial setting;
— Proficient in Python.