博士 数学和应用数学学位可以在四年内完成（尽管通常以五年为限）。对于数学博士学位，考生必须在第二学期末进行代数或分析的笔试资格预科考试，并在第五学期末进行两次笔试及口试。对于博士 在应用数学专业获得学位后，筛选程序的笔试部分包括四门一小时的考试。这些考试成功完成后，将在高级教师的指导下开始独立研究。学生必须写出能接受的具有原创性和独立性研究的论文。具有两种英语以外的其他语言的阅读知识，其中需要进行大量的数学研究。
The Ph.D. degrees in mathematics and applied mathematics can be completed within four years (although five years is the norm). For the mathematics Ph.D., candidates must take a written pre-qualifying exam in algebra or analysis by the end of their second semester and two written qualifying exams, as well as an oral exam, by the end of their fifth semester. For the Ph.D. degree in applied mathematics, the written portion of the screening procedure consists of four one-hour exams. Once these exams have been successfully completed, independent research is begun under the direction of a senior faculty member. The student must write an acceptable dissertation that exhibits original and independent research. A reading knowledge of two languages, other than English, in which there is a significant body of research in mathematics required.