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  1. Home/
  2. Academics/
  3. Degree Finder/
  4. Mathematics, Ph.D.

Mathematics

Doctor of Philosophy

Assistant Professor of Mathematics, Esteban Hernandez-Vargasriting, presenting math equations model on a chalkboard to study the mitigation of viral infections.
Overview
College:
College of Science
Duration:
78 credits
Locations:
Moscow, Coeur d'Alene

Related Topics

MathScienceBusinessDataEconomicsEngineering

Turn numbers into impact

Mathematics is a core discipline that fuels progress across countless fields. Whether you're aiming for a future in research and development, finance, industry or education, this program provides a strong foundation to help you reach your professional goals.

Pursuing an advanced degree in mathematics will equip you with the skills to apply advanced theories, computational methods and analytical models to tackle complex problems in areas such as economics, science, engineering, physics and business.

You'll gain valuable research and practical experience, including unique opportunities to collaborate with leading faculty on nationally recognized projects in bioinformatics, combinatorics, differential equations, algebra and mathematics education.

This degree could be a good fit if you:

  • Like to solve complex problems and puzzles
  • Have strong reasoning skills
  • Are able to identify, analyze and apply basic math principles to technical problems
  • Have solid written and oral communication skills

Build a career that counts

Curriculum

The 78-credit Ph.D. in mathematics combines advanced coursework with original research in an area aligned with your major professor’s research interests. You’ll complete at least 36 credits of graduate-level mathematics or approved related coursework, including at least 18 credits completed at U of I. The program also includes a preliminary examination and culminates in an original research dissertation and oral defense, preparing you to conduct independent mathematical research and communicate your work at the research and undergraduate levels.

View the online mathematics graduate handbook

Explore program courses in the University Catalog

Related clubs and organizations

  • Math Club
  • Graduate and Professional Student Association (GPSA)

Real-world experience

Many of your courses will include a lab, and you’ll also have opportunities to contribute to faculty research projects, including:

  • Bioinformatics and mathematical biology
  • Algebra, algebraic geometry, and number theory
  • Analysis and differential equations
  • Combinatorics
  • Discrete geometry
  • Mathematics education
  • Probability and stochastic processes 
Career outcomes

Current job openings

1,131 in ID, WA, OR, MT and HI

Potential careers and mid-career salaries

  • Natural Sciences Managers
    $153,637
  • Mathematicians
    $153,214
  • Statisticians • Biostatisticians
    $101,652
  • Postsecondary Mathematical Science Teachers
    $87,482
  • Actuaries
    $131,394
View all careers
Career Services

* Career data provided by Lightcast.

Costs, funding and research

Beginning Fall 2026, M.S. students appointed as Teaching Assistants will receive an annual support package that includes:

  • Base stipend: $22,089.60 for the 9-month academic year
  • In-state tuition: fully covered by the program
  • Out-of-state tuition: waived for non-resident students
  • Health insurance: Student Health Insurance Program premiums not covered
  • Summer support: additional scholarship up to $8,000, depending on funding availability

Financial aid

University of Idaho is committed to making graduate education accessible and helping students navigate the cost of earning an advanced degree. In addition to financial aid and scholarship opportunities, many graduate students receive funding through assistantships, research opportunities and other forms of academic support.

Here are a few key resources to help you understand graduate tuition, funding opportunities and available financial support:

  • Submit your FAFSA: Completing the Free Application for Federal Student Aid (FAFSA) is an important first step in accessing federal financial aid and certain institutional funding opportunities.  
  • Estimate your cost of attendance: Visit U of I’s cost of attendance page to explore estimated tuition, fees and living expenses associated with your graduate program.  
  • View a breakdown of tuition and fees: Visit the Student Accounts page to explore current tuition rates, fees and detailed cost information based on your program, residency status and enrollment level.
  • Explore scholarships and graduate funding opportunities: Graduate students may qualify for scholarships, fellowships and other funding opportunities based on academic achievement, area of study and professional experience.  
  • Learn about assistantships: Many graduate programs offer Research Assistantships (RAs), Teaching Assistantships (TAs) or Graduate Assistantships (GAs), which may provide tuition support, stipends and valuable professional experience. Assistantship availability and funding levels vary by program and department.  
  • Connect with your program: Some graduate funding opportunities are coordinated directly through academic departments or faculty research projects. Prospective students are encouraged to review department funding information and speak with program representatives about available opportunities.  

If you have questions about financial aid, scholarships or graduate funding, U of I’s experienced financial aid counselors and graduate program staff can help you explore options and make informed financial decisions throughout the admissions process.  

View financial aid resources

Recognized STEM Program

This program is recognized as a STEM program by the U.S. Department of Homeland Security and may be eligible for the 24-month STEM optional practical training extension for international students.

Learn more about STEM approved CIP/degree codes

Contact information

Have questions about the program, research opportunities or the graduate student experience? Connect with our program team for personalized guidance about curriculum, faculty mentorship, application requirements and graduate funding opportunities.

Mathematics and Statistical Science department contact: 
Timothy R. Johnson
mathstat@uidaho.edu

For questions related to admissions, application materials, transcripts or enrollment steps, contact Graduate Admissions:

Graduate Admissions contact:
graduateadmissions@uidaho.edu
208-885-4001

Interested in research areas or finding a faculty mentor? Explore faculty expertise, research interests and advising opportunities on the department’s faculty page. 

Find Department of Mathematics and Statistical Science faculty advisor contacts.

Application information

Applicants for the Ph.D. mathematics program must meet the following degree-specific admission requirements:

Program availability

  • Semester intake: Fall, spring
    • Open to international applicants
  • Deadlines: General application deadlines
  • Start dates: View the academic calendar to see start and end dates

University requirements

  • Education level: Bachelor's degree in a similar field from an accredited or recognized institution (earned or expected before the start of the graduate program)
    • Transcripts for all post-secondary education will be required. Unofficial transcripts may be used for initial admission review. Official transcripts sent by the issuing institution(s) will be required if admitted. View more information on the Graduate Admissions page.  
  • GPA: 3.0 (Applicants with a lower undergraduate GPA who have relevant professional experience in the field, have already earned a graduate degree, or have completed graduate-level credits may still be considered for admission with approval from the academic program.)
  • GRE: Not required
  • Letters of recommendation: Three
  • Resume  
  • Statement of Purpose  
  • Other requirements: For teaching assistantship consideration, include the Teaching Assistantship Application Form as part of the online application.
  • Valid picture ID (required to verify students’ identity and will be kept confidential)
  • English proficiency (for applicants whose education was completed in countries where English is not an official language).  
  • Accepted tests: TOEFL: 4.5, IELTS: 6.5, Duolingo: 115, PTE-A: 58. Learn what qualifies as proof of English proficiency.  
  • Application fee: $50

Application and admission process

Applications are submitted online and are specific to the program and term selected. Applicants seeking admission to multiple programs must submit a separate application for each program.

Before submitting an application, applicants must provide personal and academic information from all post-secondary institutions attended, recommender information, required program-specific materials, and their intended program and start term.

Applicants seeking admission to the Ph.D. are encouraged to identify and contact a potential faculty advisor or major professor during the application process. Early identification of an advisor can help ensure that a faculty member in the applicant’s area of interest has capacity to supervise the student and appropriate research opportunities are available. Applicants should consult the College of Science website to identify faculty whose research aligns with their academic and research interests.

Applications are reviewed for admission by the academic program. Only complete applications, including required letters of recommendation and payment of the application fee, will be forwarded for evaluation and admission decision. Applicants are strongly encouraged to complete their applications early to allow sufficient time for a thorough review.

International students seeking F-1 or J-1 visas must provide financial documentation demonstrating their ability to cover the cost of attendance. This documentation is required only after admission.

Visit Graduate Admissions to learn more and start your application.

Overview
College:
College of Science
Duration:
78 credits
Locations:
Moscow, Coeur d'Alene

Related Topics

MathScienceBusinessDataEconomicsEngineering
Ready to apply? - Start your application Get admissions info - Visit Graduate Admissions

Have questions?

Have questions about the program? Connect with our program director or request more information to learn about curriculum, faculty advisors, research opportunities, graduate funding and career outcomes.  

Connect with program faculty

Program faculty 

Mathematics and Statistical Science faculty areas of expertise 

Timothy R. Johnson, Department Chair and Professor

  • Bayesian statistics
  • Choice and ranking data
  • Missing data
  • Simulation-based inferential methods
  • Statistical disclosure control

Hirotachi Abo, Professor

  • Algebraic geometry
  • Commutative algebra
  • Multi-linear algebra
  • Multi-linear algebra from an algebra-geometric viewpoint

Lyudmyla Barannyk, Associate Professor

  • Numerical analysis
  • Partial differential equations

Erkan Buzbas, Associate Professor

  • Metascience
  • Replicability
  • Reproducibility
  • Bayesian statistics
  • Computational methods

Sarah Castle, Assistant Professor

  • Mathematics education
  • Computing education

Yanghyeon Cho, Assistant Professor

  • Survey sampling
  • Small area estimation
  • Statistical genetics
  • Causal inference
  • Imputation  

Somantika Datta, Professor

  • Applied harmonic analysis
  • Frame theory
  • Signal processing

Rob Ely, Professor

  • Mathematical learning and reasoning in calculus and algebra
  • Math history
  • Mathematical play

Frank Gao, Professor

  • Functional analysis
  • Probability theory
  • Approximation theory
  • Deep learning

Esteban Hernandez-Vargas, Associate Professor

  • Mathematical immunology
  • Control theory
  • Machine learning
  • Applied mathematics

Jennifer Johnson-Leung, Professor

  • Number theory
  • Automorphic forms and representations
  • Foundations of cybersecurity
  • Geometry of information

Mark J. Nielsen, Professor

  • Discrete and combinatorial geometry

Chris Remien, Associate Professor

  • Mathematical biology
  • Bioinformatics

Benjamin Ridenhour, Associate Professor

  • Biomathematics  
  • Biostatistics  

Stefan Tohaneanu, Professor

  • Commutative algebra
  • Discrete geometry
  • Algebraic coding theory

Hong Wang, Professor

  • Graph theory
  • Combinatorics  

Alexander Woo, Professor

  • Combinatorial algebraic geometry
  • Combinatorics of Coxeter groups

Tiantian Yang, Assistant Professor

  • Generalized distributions
  • Mathematical statistics

Fan Yi, Assistant Professor

  • Image monitoring
  • Statistical process control (SPC) 

Request more information

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Fax: 208-885-9119
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Moscow, ID 83844-4264

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