4+ years of professional experience in mathematics. Mentor others on mathematical techniques. Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences. Develop new principles and new relationships between existing mathematical principles to advance mathematical science. Disseminate research by writing reports, publishing papers, or presenting at professional conferences. Assemble sets of assumptions, and explore the consequences of each set. Perform computations and apply methods of numerical analysis to data. Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols. Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic. Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation. Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields. Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry. Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code. Able to participate in asynchronous work in partnership with leading AI labs.