The Game Mathematician will be responsible for creating and reviewing mathematical models and new game concepts. This includes defining odds, volatility, and Return to Player (RTP) for games. The role involves producing documentation for regulators and development teams, preparing statistical models and game simulations using modern programming languages, and participating in game reviews. The individual will work on game math using various probability theory mathematical models based on game requirements, validating calculations through computer simulations, and contributing to new game design concepts. Additionally, the Game Mathematician will verify simulations from the development team and assist in resolving any discrepancies.