数学博士学位课程面向希望从事学术研究或教学以及行业工作的学生开放。该计划强调纯数学和应用数学的研究。因此，鼓励在数学方面具有深厚背景并且在纯粹和应用数学，经济学，工程学，物理学等定量领域主修的学生申请。该计划旨在为学生准备学术和工业领域的职位，这些职位需要对高级数学概念有深入了解。完成本课程的学生必须通过成功捍卫该系代表的研究领域之一的论文来证明其研究能力。
The PhD degree is a research degree and the principal requirement is that a student writes an original research thesis (also referred to as their doctoral dissertation). The thesis is produced using research conducted under the supervision of a faculty member, and it is examined by a committee of three departmental faculty and an outside expert.<br><br>To qualify to write a thesis, a PhD candidate in Mathematics must first satisfy our Candidacy Requirements. After this, they must choose an advisor from the Mathematics Department faculty. The candidate's thesis is developed and written with the guidance of this advisor, who will later chair the thesis defense committee.<br><br>Although doctoral research does not officially begin until after candidacy requirements are met, it is strongly recommended that PhD students discuss possible research opportunities with faculty members soon after they enter the program. Entering students should also outline an appropriate sequence of courses to learn the essential material for pursuing their research interests, in whatever subfield of mathematics they intend to work in.