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Mathematics and Statistics
The Ph.D. in Mathematics at UNH offers rigorous research training in analysis, algebra, and topology. Here you'll be able to work closely with faculty mentors to develop publishable research and contribute to modern mathematics.
Under expert guidance, this program prepares you for careers in academia, postdoctoral research, and industry through advanced coursework and original research.
*Number of courses and course credit hours may vary, please reach out to your academic advisor for exact requirements.
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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.
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.
The Mathematics Ph.D. program provides research opportunities in core mathematics, including operator algebras, algebra, algebraic topology, analysis and complex analysis.
Applicants for the M.S. and Ph.D. degrees must have completed significant undergraduate coursework in mathematics, preferably in algebra, analysis, and topology.
Please visit the Graduate School website for detailed instructions about applying to the program.
Students are advanced to candidacy after meeting the following requirements:
| Code | Title | Credits |
|---|---|---|
| Required Courses | ||
| MATH 951 | Algebra I | 3 |
| MATH 952 | Algebra II | 3 |
| MATH 953 | Analysis I | 3 |
| MATH 954 | Analysis II | 3 |
| MATH 955 | Topology I | 3 |
| Total Credits | 15 | |
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.
Students must complete and submit a dissertation that includes original results in mathematics.
Applications must be completed by the following deadlines in order to be reviewed for admission:
Application fee: $65
Campus: Durham
New England Regional: ME
Accelerated Masters Eligible: No
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.
If you attended UNH or Granite State College (GSC) after September 1, 1991, and have indicated so on your online application, we will retrieve your transcript internally; this includes UNH-Durham, UNH-Manchester, UNH Non-Degree work and GSC.
If you did not attend UNH, or attended prior to September 1, 1991, then you must upload a copy (PDF) of your transcript in the application form. International transcripts must be translated into English.
If admitted, you must then request an official transcript be sent directly to our office from the Registrar's Office of each college/university attended. We accept transcripts both electronically and in hard copy:
Transcripts from all previous post-secondary institutions must be submitted and applicants must disclose any previous academic or disciplinary sanctions that resulted in their temporary or permanent separation from a previous post-secondary institution. If it is found that previous academic or disciplinary separations were not disclosed, applicants may face denial and admitted students may face dismissal from their academic program.
Recommendation letters submitted by relatives or friends, as well as letters older than one year, will not be accepted.
Prepare a brief but careful statement regarding:
All applicants are encouraged to contact programs directly to discuss program-specific application questions.
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.
As part of your application process, we recommend touching base with the academic department or specific faculty about your research interests, fit with the department, and available space. You can Submit an Extended Inquiry and we will inform your desired academic program about your interest. By submitting an inquiry form, you are not guaranteed to hear back from specific faculty. This can be a helpful step before going through the full application process.