Mathematics (Ph.D.)

Mathematics (Ph.D.)

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Why get a Ph.D. in pure mathematics?

The doctoral degree in pure mathematics represents broad study in the fields of analysis, algebra or topology, culminating with a focused dissertation containing publishable results. The degree is the gateway to an academic career in which one can continue to investigate and contribute to modern mathematics at the highest level. A professor of mathematics can look forward to a fruitful and rewarding career of teaching, advising and scholarship. Many of our graduates have gone on to careers at colleges in the region. Others have continued with postdoctoral studies, or have found careers in industry, including software development and actuarial work.  

Why choose UNH’s program in pure mathematics?

Our doctoral program is small enough to offer significant communication between faculty mentors and student peers, yet the department is large enough to offer various specialties, including representation theory, operator theory and algebraic topology. After completion of basic coursework, you’ll broaden your studies through participation in seminars, independent study and reading courses. The program includes a required Ph. D. minor project, allowing you to investigate the fields of statistics, integrated applied mathematics and mathematics education, as well as the Ph. D. major requirement. Enjoy an attractive and convenient location in a small college town, yet with easy access to Boston.

Potential Careers

  • Academia
  • Education
  • Industry

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Curriculum & Requirements

The Mathematics Ph.D. program provides research opportunities in core mathematics, including operator algebras, algebra, algebraic topology, analysis and complex analysis.

Admission Requirement

Applicants for the M.S. and Ph.D. degrees must have completed significant undergraduate coursework in mathematics, preferably in algebra, analysis, and topology.

Applying

Please visit the Graduate School website for detailed instructions about applying to the program.

Students are advanced to candidacy after meeting the following requirements:

Required Courses
MATH 951Algebra I3
MATH 952Algebra II3
MATH 953Analysis I3
MATH 954Analysis II3
MATH 955Topology I3
Total Credits15

Mathematics Ph.D. students must pass written comprehensive examinations in algebra, analysis, topology and an elective subject. Elective subjects include functional analysis, algebraic topology, applied mathematics, statistics, advanced algebra, advanced complex analysis, advanced mathematics education, et al.

Advanced coursework in a minor field (usually within mathematics, but possibly in another area of the mathematical sciences), and a major field (that of the student's intended dissertation work) followed by successfully completion of oral examinations in their minor and major areas.

Experience in teaching equivalent to at least half-time for one year.

Dissertation

Doctor of Philosophy in Mathematics: A dissertation that includes original results in mathematics.

Deadlines

Applications must be completed by the following deadlines in order to be reviewed for admission:

  • Fall: Feb. 15 (for funding); April 1 (recommended US; final international); July 1 (final)
  • Spring: Dec. 1
  • Summer: N/A
  • Special: N/A

Application fee: $65

Campus: Durham

New England Regional: ME

Accelerated Masters Eligible: No

New Hampshire Residents

Students claiming in-state residency must also submit a Proof of Residence form. This form is not required to complete your application, but you will need to submit it after you are offered admission or you will not be able to register for classes.

Transcripts

If you attended UNH after September 1, 1991, and have indicated so on your online application, we will retrieve your transcript internally; this includes UNH-Durham, UNH-Manchester and UNH Non-Degree work. 

If you did not attend UNH, or attended prior to September 1, 1991, then you must request one official transcript be sent directly to our office from the Registrar's Office of each college/university attended. International transcripts must be translated into English. We accept transcripts both electronically and in hard copy:

  • Electronic Transcripts: Please have your institution send the transcript directly to grad.school@unh.edu. Please note that we can only accept copies sent directly from the institution.
  • Paper Transcripts: Please send hard copies of transcripts to: UNH Graduate School, Thompson Hall- 105 Main Street, Durham, NH 03824. You may request transcripts be sent to us directly from the institution or you may send them yourself as long as they remain sealed in the original university envelope.

Letters of recommendation: 3 required

Recommendation letters submitted by relatives or friends, as well as letters older than one year, will not be accepted.

Personal Statement/Essay Questions

Prepare a brief but careful statement regarding:

  1. Reasons you wish to do graduate work in this field, including your immediate and long-range objectives,
  2. Your specific research or professional interest and experiences in this field.

Important Notes

All applicants are encouraged to contact programs directly to discuss program specific application questions.

International Applicants

The University of New Hampshire recommends that international applicants who are living outside of the United States, and are planning on pursuing a research based degree, submit a preapplication form before submitting a full application. Your preapplication request will be carefully reviewed and a decision usually provided within 3 weeks. If your preapplication is approved then it is recommended you then submit a full application. If you are currently living in the United States (on a H1B visa, etc.), or you plan on pursuing a professional master’s degree, then you do not need to submit a preapplication.

Prospective international students are required to submit TOEFL, IELTS, or equivalent examination scores. English Language Exams may be waived if English is your first language. If you wish to request a waiver, then please visit our Test Scores webpage for more information.

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