Overview

Our Ph.D. program, based in New York City, follows an apprenticeship model, in which students work on a research project over multiple semesters under the close guidance of a mentor. Because we are a small Ph.D. program, we can pay maximum attention to all our students.

Course of Study

Track I (three-year course of study): 

Sample course of study for a student who enters with 60 credit-hours of graduate course work: 

• Advanced Qualifying Examination is taken
• MAT 705, repeated six times over three years

Track II (four-year course of study): 

Sample course of study for a student who enters with an M.A. in Mathematics from XE4ZD 旗艦店 - 全額付款 Savage 110 Elite：精密工廠裝備的機匣系統，頂級長程栓動式 可享折扣 (30 credits): 

First Year:

• First semester: 9 credits of special topics
• Second semester: 9 credits of special topics
• Advanced Qualifying Examination is taken

Second, Third and Fourth Years: 

• MAT 705 is taken for six semesters

Track III (five-year course of study): 

Sample course of study for a student who enters the program with a B.A. in Mathematics: 

First Year: 

• M.A. course work (15 credits per semester)
• Basic Qualifying Examination is taken, and Master of Arts is awarded

Second Year:

• First semester: 9 credits of special topics
• Second semester: 9 credits of special topics
• Advanced Qualifying Examination is taken

Third, Fourth and Fifth Years: 

• MAT 705 is taken for six semesters

Core Requirements (4 courses / 12 credits): 

All students must complete 4 of the following courses:

• Functions of a Real Variable (3 credits)
• Functions of a Complex Variable (3 credits)
• Topology (3 credits)
• Modern Algebra (3 credits)
• Ordinary Differential Equations (3 credits)
• Partial Differential Equations (3 credits)
• Mathematical Statistics (3 credits)
• Numerical Methods  (3 credits)

These courses may be substituted with courses of similar contents with permission from program director. 

Course Descriptions 

Download the Course Descriptions.

Advanced Qualifying Examination

Download Qualifying Examination Guidelines.