Program Overview

Mathematics, PhD

The goal of our PhD program is to train graduate students to become research mathematicians. Our students go on to exciting careers in mathematics both inside and outside of academia.

Program Overview

PhD candidates take two or three courses per semester over the first several years of the program. These are a mix of required and intermediate-level graduate courses, independent studies, and special topics classes offered by our faculty. Candidates must take, attend, participate in, and pass the course 110.771 (GTA Teaching Seminar). The seminar is an important part of the preparation for classroom teaching, and thus an essential part of mathematics graduate education.

Admission Requirements

Admission to the PhD program is based primarily on academic records, letters of recommendation, and a personal statement. The Department of Mathematics values diversity among its members, is committed to building a diverse intellectual community, and strongly encourages applications from all interested parties.

• A Statement of Purpose
• An optional Personal Statement
• Transcripts from all institutions attended
• Three letters of recommendation
• Official TOEFL scores (if English is not your first language)
• A self-reported score for the GRE Mathematics subject test

Undergraduate Background

The following is an example of what the math department would consider a good background for a student coming out of a four-year undergraduate program at a college or university in the U.S. (assuming a semester system):

• Calculus in one variable (two semesters, or AP credits)
• Multivariable Calculus (one semester)
• Linear Algebra (one semester)
• Complex analysis (one semester)
• Real analysis (two semesters)
• Abstract algebra (two semesters)
• Point-set topology (one semester)

Program Requirements

Course Requirements

Mathematics PhD candidates must show satisfactory work in Algebra (110.601-602), Real Variables (110.605), Complex Variables (110.607), and one additional non-seminar mathematics graduate course in their first year.

Qualifying Exams

Candidates must pass written qualifying exams by the beginning of their second year in Analysis (Real & Complex) and in Algebra.

Oral Exam

Candidates must pass an oral qualifying examination in the students chosen area of research by April 10 of the third year.

PhD Dissertation

Candidates must produce a written dissertation based upon independent and original research. After completion of the thesis research, the student will defend the dissertation by means of the Graduate Board Oral exam.

Awards

• The William Kelso Morrill Award for excellence in the teaching of mathematics is awarded every spring to the graduate student who best exemplifies the traits of William Kelso Morrill: a love of mathematics, a love of teaching, and a concern for students.
• Joel Dean Excellence in Teaching Awards are given each year to graduate student teaching assistants, undergraduate teaching assistants, and non-tenure-track faculty who have demonstrated exceptional ability and commitment to undergraduate education.

Additional Information for International Students

Student Visa Information: The Office of International Services at Homewood will assist admitted international students in obtaining a student visa. English Proficiency: Johns Hopkins University requires students to have adequate English proficiency for their course of study. Students must be able to read, speak, and write English fluently upon their arrival at the university.