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Mathematics, PhD

Mathematics, PhD

Academic programs / Graduate degrees / Mathematics, PhD

Algebra, Equations, Geometry, Mathematics, analysis, approved for STEM-OPT extension

Are you interested in understanding the true depth of knowledge in the intradisciplinary subfields within mathematics? Discover important connections between different areas of mathematics and their applications using studies in algebra, topology, geometry, probability, analysis and logic.

Program description
Degree awarded: PHD  Mathematics

The PhD program in mathematics is intended for students with exceptional mathematical ability. The program emphasizes a solid mathematical foundation and promotes innovative scholarship in mathematics and its many related disciplines.

The School of Mathematical and Statistical Sciences has very active research groups in analysis, number theory, geometry and discrete mathematics.

STEM-OPT for international students on F-1 visas

This program may be eligible for an Optional Practical Training extension for up to 36 months. This OPT work authorization term may help international students gain skills and experience in the U.S. Those interested in an OPT extension should review ASU degrees that qualify for the STEM-OPT extension at ASU's International Students and Scholars Center website.

The OPT extension only applies to students on an F-1 visa and does not apply to students completing the degree through ASU Online.

At a glance
Degree requirements

84 credit hours, a written comprehensive exam, a prospectus and a dissertation

Required Core (3 credit hours)
MAT 501 Geometry and Topology of Manifolds I (3) or
MAT 516 Graph Theory I (3) or
MAT 543 Abstract Algebra I (3) or
MAT 570 Real Analysis I (3)

Other Requirements (3 credit hours)
MAT 591 Seminar (3)

Electives (24-39 credit hours)

Research (27-42 credit hours)
MAT 792 Research

Culminating Experience (12 credit hours)
MAT 799 Dissertation (12)

Additional Curriculum Information
Electives are to be chosen from math or related area courses approved by the student's supervisory committee.

Students must pass:

  • two qualifying examinations
  • a written comprehensive examination
  • an oral dissertation prospectus defense

Students should see the department website for examination information.

Each student must write a dissertation and defend it orally in front of five dissertation committee members.

Admission requirements

Applicants must fulfill the requirements of both the Graduate College and The College of Liberal Arts and Sciences.

Applicants are eligible to apply to the program if they have earned a bachelor's or master's degree in mathematics or a closely related area from a regionally accredited institution.

Applicants must have a minimum cumulative GPA of 3.00 (scale is 4.00 = "A") in the last 60 hours of their first bachelor's degree program or a minimum cumulative GPA of 3.00 (scale is 4.00 = "A") in an applicable master's degree program.

All applicants must submit:

  1. graduate admission application and application fee
  2. official transcripts
  3. statement of education and career goals
  4. resume
  5. three letters of recommendation
  6. proof of English proficiency

Additional Application Information
An applicant whose native language is not English must provide proof of English proficiency regardless of their current residency.

Additional eligibility requirements include competitiveness in an applicant pool as evidenced by coursework in linear algebra (equivalent to ASU course MAT 342 or MAT 343) and advanced calculus (equivalent to ASU course MAT 371), and it is desirable that applicants have scientific programming skills.

Tuition information
When it comes to paying for higher education, everyone’s situation is different. Students can learn about ASU tuition and financial aid options to find out which will work best for them.
Application deadlines
SessionModalityDeadlineType
Session A/CIn Person 12/10Priority
SessionModalityDeadlineType
Session A/CIn Person 07/01Final
Program learning outcomes

Program learning outcomes identify what a student will learn or be able to do upon completion of their program. This program has the following program outcomes:

  • Apply advanced mathematical skills in coursework and research.
  • Address an original research question in mathematics.
  • Able to complete original research in theoretical mathematics.
Career opportunities

Graduates of the doctoral program in mathematics possess sophisticated mathematical skills required for careers in many different sectors, including education, industry and government. Potential career opportunities include:

  • faculty-track academic
  • finance and investment analyst
  • mathematician
  • mathematics professor, instructor or researcher
  • operations research analyst
  • statistician
Contact information
What are accelerated programs?
Accelerated programs allow students the opportunity to expedite the completion of their degree.

3 year programs

These programs allow students to fast-track their studies after admission and earn a bachelor's degree in three years or fewer while participating in the same high-quality educational experience of a 4-year option. Students should talk to their academic advisor to get started.

Accelerated master's

These programs allow students to accelerate their studies to earn a bachelor's plus a master's degree in as few as five years (for some programs).

Each program has requirements students must meet to be eligible for consideration. Acceptance to the graduate program requires a separate application. Students typically receive approval to pursue the accelerated master’s during the junior year of their bachelor's degree program. Interested students can learn about eligibility requirements and how to apply.
What are concurrent programs?
Concurrent degrees allow students to pursue their own personal or professional interests, earn two distinct degrees and receive two diplomas. To add a concurrent degree to your existing degree, work with your academic advisor.
What are joint programs?
Joint programs, or jointly conferred degrees, are offered by more than one college and provide opportunities for students to take advantage of the academic strengths of two academic units. Upon graduation, students are awarded one degree and one diploma conferred by two colleges.

What constitutes a new program?
ASU adds new programs to Degree Search frequently. Come back often and look for the “New Programs” option.
What are online programs?
ASU Online offers programs in an entirely online format with multiple enrollment sessions throughout the year. See https://asuonline.asu.edu/ for more information.
What is WRGP (Western Regional Graduate Program)?
The Western Regional Graduate Program (WRGP) provides a reduced tuition rate to non-resident graduate students who qualify. Visit the WRGP/WICHE webpage for more information: https://graduate.asu.edu/wiche.

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