Doctoral students at Washington University are required to demonstrate proficiency in algebra, real analysis, complex analysis, and geometry/topology. Most students satisfy these requirements by taking two semester courses in each subject, capped by a final exam that serves as a "qualifier." Students with strong backgrounds may test out of some of these courses.
Typically, it takes two years for a student to complete the written qualifying exam phase of the program. By the end of the second year, the student usually has some idea of which area of mathematics to choose. By that time the student is also acquainted with several faculty and feels comfortable asking one to direct his/her research.
Once the qualifying exams are passed and a thesis advisor engaged, the next step in the program is for the student to prepare a "major oral presentation." Topics for the major oral are chosen in consultation with the student's thesis advisor, and culminate in a public lecture. These should be completed by the end of the third year.
Admission to the Office of Graduate Studies in Arts & Sciences depends on a candidate's ability and promise of achievement. To demonstrate both, applicants must submit undergraduate records showing above-average performance at a recognized school, and letters of recommendation from people thoroughly familiar with their abilities. Graduate Record Examination general scores and the subject test are optional. For information about admission schedules and procedures, please consult the Office of Graduate Studies in Arts & Sciences.
An entering graduate student should display competence in analysis and algebra, equivalent to the content of Washington University's Math 4101-4102 and 4301-4302 courses. PhD candidates will also find a knowledge of topology (Math 4201-4202) to be very helpful. A student lacking in one or more of these prerequisites may have difficulty conforming to the expected timetable for the qualifying exams; time may be allowed to complete this preparation when appropriate.
International students must be proficient in English. Entering students whose native language is not English are expected to perfect their speaking and writing skills before beginning studies at Washington University. A student arriving at the University with an inadequate command of English may be required to take remedial English instruction at his or her own expense. It is best for all foreign students to arrive at Washington University in the early summer, several months before the fall semester begins at the end of August, to ensure that these language requirements are met.
The Department of Mathematics asks that interested majors apply to the program by the end of the fall semester in their senior year. If accepted, they must begin the program in the fall semester immediately after graduation: no deferred admissions are allowed by the Office of Graduate Studies in Arts & Sciences.
Students should fill out the Application Form and make an appointment to meet with the Administrative Assistant for the Department's graduate programs, Ms. Mary Ann Stenner , in Cupples I, Room 100. She will clarify the rest of the procedure for you: submitting the application for Department consideration and getting the required signatures from the Department Chair and Chair of the Graduate Committee. If the Department approves the application, then Ms. Stenner will submit it to the Office of Graduate Studies in Arts & Sciences which will make the final decision.
All students must demonstrate proficiency in English.
| QS 综合 | 院校 | 学制 | 学费 |
|---|---|---|---|
| 第 19 位 | 新南威尔士大学University of New South Wales | 1.5年 | 62334澳元/年 |
| 第 31 位 | 蒙纳士大学Monash University | 2年 | 60640澳元/年 |
| 第 90 位 | 哥本哈根大学University of Copenhagen | - | - |
| 第 94 位 | 波士顿大学Boston University | 32学分 | 63,798美元 |
| 第 98 位 | 柏林自由大学Freie Universität Berlin | 4 学期（约 2 年） | - |
| 第 98 位 | 柏林自由大学Freie Universität Berlin | 4 学期（约 2 年） | - |
| 第 131 位 | 威斯康星大学麦迪逊分校University of Wisconsin–Madison | 2年 | 45,102美元 |
| 第 255 位 | 明尼苏达大学双城分校University of Minnesota | 30学分 | 38,340美元/年 |