Algebra and Number Theory: Program Overview, Universities, Careers & Salaries
Program Overview
Algebra and Number Theory is a rigorous academic discipline centered on the exploration of mathematical structures, relationships between quantities, and the intrinsic properties of integers. This program develops advanced analytical and abstract reasoning skills through the study of symbolic systems, algebraic frameworks, and geometric interpretations of number patterns.
- Algebraic Structures: Investigates foundational systems such as groups, rings, and fields, emphasizing their axiomatic properties and applications in modern mathematics.
- Linear Algebra: Explores vector spaces, linear transformations, matrices, and eigenvalues, providing essential tools for modeling and solving complex systems across science and engineering.
- Algebraic Geometry: Bridges algebra and geometry by studying solutions to polynomial equations through geometric methods and abstract algebraic techniques.
- Combinatorics: Focuses on counting, arrangement, and optimization of discrete structures, with applications in computer science, cryptography, and algorithm design.
- Quadratic and Automorphic Forms: Examines symmetric bilinear forms and their transformation properties, with deep connections to number theory, modular functions, and representation theory.
Algebra and Number Theory Graduate Trends (2010-2024)
Algebra and Number Theory Career Pathways & Salary Outlook
The following table presents salary data for occupations typically aligned with Algebra and Number Theory degrees, including Natural Sciences Managers, Mathematicians and Mathematical Science Teachers, Postsecondary. These career paths represent common employment outcomes but are not guaranteed for all graduates. Salary ranges vary by location, employer, experience level, and specific role requirements. Nationally, these occupations employ approximately 151,910 professionals.
National Average Salaries
| Occupation | Median Salary | Salary Range | Total Employment | Hourly Rate |
|---|---|---|---|---|
| Natural Sciences Managers 11-9121 | $161,180 | $79,830 - $239,200 | 100,870 | $77.49 |
| Mathematicians 15-2021 | $121,680 | $63,430 - $187,660 | 2,220 | $58.50 |
| Mathematical Science Teachers, Postsecondary 25-1022 | $79,350 | $48,150 - $161,020 | 48,820 | N/A |
Algebra and Number Theory Salary Map by State
Geographic location significantly impacts earning potential for these careers. Average salaries range from $64,930 in Delaware to $159,580 in California—a 146% difference. The highest-paying states include California, Massachusetts, and Connecticut. Nationwide, these occupations employ over 151,910 professionals across all states. Explore the interactive map below to compare regional compensation and identify optimal markets for your career goals.
Average Salary Range:
Top Universities for Algebra and Number Theory by Graduate Enrollment
Below are the top 1 institutions offering Algebra and Number Theory programs for the 2023-2024 academic year (the most recent data reported as of 2025), ranked by the number of graduates. The highest graduate enrollment in Algebra and Number Theory is found at Southern Arkansas University Tech (SAU Tech) (1 graduates). Combined, these colleges produced 1 graduates across all degree levels. Program availability varies by award level, including Associate, Bachelor's, Master's, and Doctoral degrees at participating universities and schools.
| College Name | Award Levels | Graduates | Location | Control | Website |
|---|---|---|---|---|---|
| Southern Arkansas University Tech (SAU Tech) |
Other Award
|
1 | Camden, Arkansas | Public | sautech.edu |
Frequently Asked Questions
Find answers to the most common questions about Algebra and Number Theory programs
How much can I earn with a Algebra and Number Theory degree?
Salaries for Algebra and Number Theory graduates vary by role and location. Natural Sciences Managers earn a median of $161,180 annually, while Mathematicians earn around $121,680. Geographic location significantly impacts earnings—professionals in California average $159,580 compared to $64,930 in Delaware. Approximately 151,910 professionals work in related occupations nationwide.
Salary data from U.S. Bureau of Labor Statistics OEWS program, May 2024. Earnings vary by experience, employer, and market conditions.
Which universities have the largest Algebra and Number Theory programs?
Currently 1 accredited institutions offer Algebra and Number Theory degrees across the U.S. Programs with the highest enrollment include Southern Arkansas University Tech (SAU Tech) (1 graduates).
Program size doesn't necessarily indicate quality—consider factors like faculty expertise, production opportunities, location, and available degree levels when choosing a school.
Data based on IPEDS program completions for 2023-2024 academic year. Numbers reflect programs where students graduated.
Is enrollment in Algebra and Number Theory growing or declining?
Graduate numbers have decreased over the past decade, rising from 2 in 2010 to 1 in 2023-24. This represents a 50% decrease overall from 2010.
The field remains specialized with consistent demand, though opportunities are most concentrated in major metropolitan areas with active arts scenes like New York, California, and Illinois.
Graduate enrollment data from IPEDS, 2010-2024 academic years. Trends reflect reported completions at participating institutions.
What career paths are available with a Algebra and Number Theory degree?
This degree prepares you for roles such as Natural Sciences Managers, Mathematicians, and Mathematical Science Teachers, Postsecondary. Related occupations employ approximately 151,910 professionals nationwide.
Skills in project management, creative leadership, and collaboration also transfer to event planning, arts administration, marketing, and corporate training roles. Many professionals work freelance or on a project basis across theatre, film, and live events.
Career pathways mapped using CIP-SOC crosswalk from the National Center for Education Statistics. Employment data from BLS OEWS May 2024.
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