linear algebra and real analysis, statistics and probability,

硕士

入学决定在每年秋季学期的每年2月下旬做出。一名学生被录取为博士学位。该程序通常具有线性代数和实数分析的背景，并修过几门统计学和概率论课程。熟悉计算和编程是可取的。也鼓励受过定量训练或在其他科学领域具有丰富背景/ 经验的学生申请入学

All students in the Ph.D. program receive, for up to five years, a funding package consisting of tuition, fees, and a stipend. These fellowships are awarded in recognition of academic achievement and in expectation of scholarly success; they are contingent upon the student remaining in good academic standing. Summer support, while not guaranteed, is generally provided. Teaching and research experience are considered important aspects of the training of graduate students. Thus, graduate fellowships include some teaching and research apprenticeship. Ph.D. students are given funds to purchase a laptop PC, and additional computing resources are supplied for research projects as necessary. The Department also subsidizes up to $750 of travel expenses for students who make presentations at scientific meetings. Additional matching funds from the Graduate School Arts and Sciences are available to students who have passed the oral qualifying exam.