The PhD program in Mathematics is designed to provide students with a broad overview of current mathematics and a strong command of an area of specialization.

Graduate students pursuing a Phd in Mathematics work with internationally recognized faculty in a range of research programs in both pure and applied mathematics. In addition, numerous seminars and colloquia at Northeastern and in the Boston area give students ample opportunity to learn about important recent advances in mathematics.

TRACKS

- Pure Mathematics
- Discrete Mathematics
- Probability/Statistics

QUALIFYING EXAMS

Qualifying exam sessions are given once in spring and once in fall. Students will be required to pass four qualifying exams: algebra 1, analysis 1, and 2 other exams. A qualifying exam may be taken twice by any student. Additional attempts may be allowed at the discretion of the graduate committee with permission from the graduate dean in the College of Science. Two qualifying exams should be passed no later than the end of the second year and all four should be passed by the end of the third year.

TEACHING REQUIREMENT

Some teaching experience is required while in the program. Students must attend university-led TA training at the start of the program; attend a one semester TA training course conducted by faculty from the Department of Mathematics teaching committee; spend one semester shadowing faculty in the undergraduate classroom; perform recitations and grading for the undergraduate course they are shadowing; and become a teacher of record for the undergraduate course they have been shadowing.

RESIDENCE REQUIREMENT

The residence requirement is satisfied by one year of full-time graduate course work.

DOCTORAL CANDIDACY

PhD candidacy is reached when all of the following conditions are met:

- Completion of eight advanced courses
- Identification of an unsolved research problem
- Successful passing of four qualifying exams
- Assignment of PhD supervisor and creation of a one-page initial plan
- Completion of a three-page plan of research
- Completion of a ten-page progress report and a one-hour defense of proposal, presented to supervisor and three faculty members of graduate committee

DISSERTATION REQUIREMENT

Each candidate must complete a dissertation that embodies the results of extended research and makes an original contribution to the field. This work should give evidence of the candidate’s ability to carry out independent investigation and interpret, in a logical manner, the results of the research.

### More Details

#### Unique Features

- Three available tracks: Pure Math, Discrete Math, Probability/Statistics
- Bachelors and Advanced-degree entry are possible
- Teaching experience is required during PhD program
- Boston residency requirement of one or two years
- PhD candidates complete and defend a dissertation

#### Looking for something different?

### Admissions Dates

Application deadlines vary based on the program you’re applying to, and are available on the College of Science website. In addition to submitting your online application, all required application materials must be received by the stated deadlines in order for your application to be considered.

### Requirements

- Online application
- Application fee
- Unofficial transcripts for all institutions attended

(Official transcripts required upon acceptance of admission offer) - Personal statement
- 3 letters of recommendation
- GRE
- GRE Subject
- Proof of English Proficiency for all applicants (from one of the following):
- Degree earned or in progress at a U.S. institution
- Degree earned or in progress at an institution where English is the only medium of instruction
- Official exam scores from either the TOEFL iBT, IELTS, or PTE exam

**Global Engagement**

## General Requirements

### Milestones

- Four qualifying examinations
- Annual review
- Dissertation committee
- Teaching requirement
- Doctoral candidacy
- Progress report and presentation
- Dissertation defense

### Prerequisites

#### Algebra and Analysis

#### Dissertation

Complete the following (repeatable) course twice:

## Tracks

Choose one from the following:

### Analysis

Complete one of the following courses:

### Algebra

Complete one of the following courses:

### Foundational Courses

Complete up to 16 semester hours from the following:

### Advanced Course Work

Complete 32 semester hours from the advanced course work list below. Only two reading courses are allowed.

### Discrete Track

#### Algebra

Complete one of the following courses:

#### Probability

#### Foundational Course

Complete up to 16 semester hours from the following:

#### Advanced Course Work

Complete 32 semester hours from the advanced course work list. Only two reading courses are allowed.

### Probability and Statistics Track

#### Analysis

Complete 4 semesters hours from the following:

#### Probability

Complete one of the following course:

#### Foundational

Complete up to 16 semester hours from the following:

#### Advanced Course Work List

Complete 32 semester hours from the advanced course work list. Only two reading courses are allowed.

Northeastern's signature experiential learning model combines academics with professional practice to help students acquire relevant, real-world skills they can apply to their desired industry. Each program offers its own unique experiential learning opportunities, but they might include:

**Full-Time Co-op Opportunities**— Students on co-op work in a paid position in their field of study for three to six months.**In-Class Case Studies**— Professors integrate case studies and exercises into the classroom to bring a real-world perspective and relevance to what they’re teaching.**Research**— Students collaborate with faculty in our more than 30 federally funded research centers, tackling some of the most pressing challenges in health, security, and sustainability.

## Our Faculty

Our faculty represents a wide cross-section of professional practices and in fields ranging from finance to education to biomedical science to management to the U.S. military. They serve as mentors and advisors, and collaborate alongside students to solve the most pressing global challenges facing established and emerging markets.

By enrolling in Northeastern, you gain access to a network of more than 230,000 alumni and 3,000 employer partners, including Fortune 500 companies, government agencies, and global NGOs. Our current students and faculty across strategically located regional campuses further foster that lifelong global community of learning and mentoring.

Below is a look at where our Science & Mathematics alumni work, the positions they hold, and the skills they bring to their organization.

#### Where They Work

- State Street
- IBM
- Raytheon
- Liberty Mutual Insurance
- Amazon

#### What They Do

- Engineering
- Education
- Business Development
- Research
- Information Technology

#### What They're Skilled At

- Matlab
- Research
- C++
- Project Management
- Data Analysis

Learn more about Northeastern Alumni on Linkedin.

## You May Also Be Interested In | ||||||

| PhD | ## Boston | | | ## Classroom | Save |

LOCATION | COMMITMENT | DURATION | TYPE | |||

| Master's | ## Boston | | | ## Classroom | Save |

LOCATION | COMMITMENT | DURATION | TYPE | |||

| Master's | ## Boston | | | ## Classroom | Save |

LOCATION | COMMITMENT | DURATION | TYPE | |||

| Master's | ## Boston | | | ## Classroom | Save |

LOCATION | COMMITMENT | DURATION | TYPE | |||