从数学系学生到职业数学家的过渡取决于能力，辛勤工作和独立性，还取决于社区。耶鲁大学的研究生课程为此提供了绝佳的环境，我们为来到这里的才华横溢的学生以及与他们一起学习该专业的一流教师而感到自豪。在头两年，学生们专注于建筑他们的常识和通过资格考试，但也鼓励他们花时间思考他们感兴趣的领域，共同探索它们，并开始与教职顾问建立联系。形式上的要求很少，这种灵活性使学生能够发展独立性，制定和遵循自己的目标。数学虽然需要个人的高度关注，但也可以促进协作工作。学生将组成学习小组和研讨会，也将受益于我们出色的Gibbs助理教
The transition from mathematics student to working mathematician depends on ability, hard work and independence, but also on community. Yale's graduate program provides an excellent environment for this, and we are proud of the talented students who come here and the leading faculty with whom they learn the profession.In their first two years, students focus on building their general knowledge and passing the qualifying exams, but are also encouraged to use the time to think about their areas of interest, work together to explore them, and begin making connections with faculty advisors. There are few formal requirements and this flexibility allows students to develop independence, formulating and following their own goals.Mathematics, while requiring intense individual focus, also thrives on collaborative work. Students form study groups and seminars together, and also benefit from our excellent cohort of Gibbs Assistant Professors and other Postdoctoral Fellows, who are a source of fresh mathematical perspectives and camaraderie.Research, and the contribution of new ideas and results to the body of mathematical knowledge, naturally form the main focus of the next few years, and typically students complete their PhD by the end of the 5th (sometimes 6th) year. During this time they also get to know the faculty better, and continue building intellectual and personal connections, horizontally across the discipline and through time to our shared intellectual history and tradition.