Overview

Key facts

The Doctor of Philosophy (Ph.D.) in Mathematics from Montana State University is conferred based on proficiency in mathematics and on the ability to carry out independent research in the mathematical sciences as demonstrated by the completion of a doctoral dissertation. Students are expected to demonstrate proficiency in three areas of mathematics through successful completion of coursework and written comprehensive examinations.

A PhD in Mathematics can focus on Applied Mathematics, Pure Mathematics, or an emphasis in Math Education.

Careers after Graduation

Graduate alumni in Mathematics embark on a wide range of careers within 10 years of their graduation.
Nearly 68% are working in academia, 17% in for-profit, and about 10% for nonprofit. Top industry employers include Montana State University and US Department of Energy.
Across all career paths, the estimated salary of alumni within 10 years of graduation ranges from $30,000 to $150,000 with an average of $90,000 (source of data Academic Analytics).

Programme Structure

Courses include:

Advanced Linear Algebra

Abstract Algebra
Principles of Mathematical Analysis
General Topology
Numerical Linear Algebra & Optimization
Applied Mathematics
Introduction of Dynamical Systems
Probability Theory
Numerical Solution of Partial Differential Equations
Methods of Applied Mathematics
Dynamical Systems
Mathematical Optimization
Mathematics of Machine Learning

Intermediate Probability and Statistics

PhD Qualifying Exams: Must attempt both components within the first year of entry

Principles of Mathematical Analysis

Advanced Linear Algebra

PhD Comprehensive Exams options:

Measure Theory/Complex Analysis
General Topology/Geometry & Algebraic Topology

Abstract Algebra I and II
Dynamical Systems I and II
Functional Analysis I and II
Numerical Solution of Partial Differential Equations I and II
Partial Differential Equations I and II
Methods of Applied Mathematics I and II

Lecturers

David Ayala

Breschine Cummins

Blair Davey

Lisa Davis

Tomas Gedeon

Lukas Geyer

Ryan Grady

Sam Gunningham

Jaroslaw Kwapisz

Scott McCalla

Allechar Serrano Lopez
Tianyu Zhang

Key information

Duration

Full-time
- 48 months

Start dates & application deadlines

Starting 2027-08-19 00:00:00
- Apply before 2026-12-15 00:00:00

More details

The priority deadline for funding decisions is December 15th. The final application deadline is January 15th.

Language

English

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IELTS

6.5

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Credits

60 SCH

Delivered

On Campus

Campus Location

Bozeman, United States

Disciplines

Education Mathematics Applied Mathematics View 142 other PhDs in Mathematics in United States

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Academic requirements

GPA

English requirements

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120

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TOEFL^® IBT

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IELTS

6.5

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Other requirements

General requirements

The applicant must have received a Bachelor’s degree from an accredited college or university in the U.S., or equivalent from a non-U.S. institution.

The applicant must have earned an overall grade-point average of 3.0 (B), or equivalent, in the most recent two years of study.

The applicant must have received a grade of B or better in the following courses, or an equivalent grade from an equivalent course

A proof-based course in Linear Algebra, an additional proof-based course in advanced Linear Algebra, Functional Analysis, or Abstract Algebra is preferred, but not required.
A proof-based course in Advanced Calculus or Introduction to Analysis I. A second semester of Analysis is preferred, but not required.
A record of undergraduate coursework in rigorous proof-based mathematics (or M.S. level coursework if applicable). Additionally, demonstration of original mathematical research is preferred, but not required.

Tuition Fees

Tuition fees are shown in and the most likely applicable fee is shown based on your nationality.

International Applies to you

Applies to you

Non-residents

28800 USD / year

≈ 28800 USD / year
Out-of-State

28800 USD / year

≈ 28800 USD / year

Living costs

Bozeman

United States

1099 - 2275 USD / month

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.

Funding

All students who meet the minimum application requirements are eligible to be considered for a Graduate Teaching Assistantship (GTA). We assume all applicants are interested in a GTA unless they make note of it in their application. Decisions regarding GTA support are separate from admission decisions and are based on the availability of department resources.

GTA positions typically cover 6-9 credits of out-of-state tuition, along with a biweekly stipend to support graduate students. Fees and housing are not included in GTA positions.

Other internal and external funding options are also available.

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Scholarships Information

Below you will find PhD's scholarship opportunities for Mathematics.

Available Scholarships

You are eligible to apply for these scholarships but a selection process will still be applied by the provider.

About

Overview

Key facts

Careers after Graduation

Programme Structure

Lecturers

Key information

Duration

Start dates & application deadlines

Language

Prepare for Your English Test

Credits

Delivered

Campus Location

Disciplines

What students do after studying

Academic requirements

English requirements

Prepare for Your English Test

Other requirements

General requirements

Tuition Fees

International Applies to you

Living costs

Bozeman

Funding

Scholarships Information

Available Scholarships

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