Mathematics
Performs professional mathematics work including mathematical research, analysis, and application of mathematical theories.
💰GS-1520 Salary Information
2025 Base Pay (before locality adjustment)
| Grade | Step 1 | Step 2 | Step 3 | Step 4 | Step 5 | Step 6 | Step 7 | Step 8 | Step 9 | Step 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| GS-5 | $34,454 | $35,603 | $36,752 | $37,901 | $39,050 | $40,199 | $41,348 | $42,497 | $43,646 | $44,786 |
| GS-7 | $42,679 | $44,102 | $45,525 | $46,948 | $48,371 | $49,794 | $51,217 | $52,640 | $54,063 | $55,486 |
| GS-9 | $52,205 | $53,945 | $55,685 | $57,425 | $59,165 | $60,905 | $62,645 | $64,385 | $66,125 | $67,865 |
| GS-11 | $63,163 | $65,268 | $67,373 | $69,478 | $71,583 | $73,688 | $75,793 | $77,898 | $80,003 | $82,108 |
| GS-12 | $75,706 | $78,229 | $80,752 | $83,275 | $85,798 | $88,321 | $90,844 | $93,367 | $95,890 | $98,422 |
| GS-13 | $90,025 | $93,026 | $96,027 | $99,028 | $102,029 | $105,030 | $108,031 | $111,032 | $114,033 | $117,034 |
| GS-14 | $106,382 | $109,928 | $113,474 | $117,020 | $120,566 | $124,112 | $127,658 | $131,204 | $134,750 | $138,296 |
| GS-15 | $125,133 | $129,304 | $133,475 | $137,646 | $141,817 | $145,988 | $150,159 | $154,330 | $158,501 | $162,672 |
Note: These are 2025 base pay rates. Most federal employees receive locality pay adjustments of 15-40%+ depending on location.
Qualification Requirements
Official OPM qualification standards for GS-1520
Degree: mathematics; or the equivalent of a major that included at least 24 semester hours in mathematics.
or
Combination of education and experience -- courses equivalent to a major in mathematics (including at least 24 semester hours in mathematics), as shown in A above, plus appropriate experience or additional education.
The total course work in either A or B above must have included differential and integral calculus and, in addition, four advanced mathematics courses requiring calculus or equivalent mathematics courses as a prerequisite.
🎖️Tips for Veterans
- ✓Translate military experience: Map duties to civilian terminology.
- ✓Highlight training: Include courses and certifications.
- ✓Veterans preference: Claim your 5 or 10-point preference.
- ⚠️Note: Degree required for this series.
📝How to Qualify for GS-1520
Step-by-step guide to landing a federal mathematics position
- 1
Review Qualification Requirements
Read the OPM qualification standards above to understand the education and experience requirements for your target grade level.
- 2
Determine Your Grade Level
Match your years of experience and education to the appropriate GS grade. Generally: GS-5 (entry), GS-7/9 (junior), GS-11/12 (journey), GS-13+ (senior).
- 3
Gather Documentation
Collect your DD-214, SF-50 (if applicable), transcripts, certifications, and any training records that demonstrate your qualifications.
- 4
Build Your Federal Resume
Create a detailed federal resume (2-5 pages) that addresses every qualification requirement. Include hours worked per week, supervisor contact info, and specific accomplishments.
- 5
Apply on USAJOBS
Search for open positions, carefully answer all assessment questions, and submit your application before the closing date.
📋Typical Duties
- •Conduct mathematical research
- •Develop mathematical models
- •Analyze mathematical problems
- •Apply mathematical theories
- •Prepare technical reports
- •Collaborate with scientists and engineers
🎯Key Competencies
Deep knowledge of mathematical principles and theorems.
Strong skills in mathematical analysis and proof.
Ability to apply math to practical problems.
Skill in developing mathematical algorithms.
Ability to conduct original mathematical research.
Proficiency in mathematical computing software.
Ability to prepare mathematical papers and reports.
Skill in identifying mathematical approaches to problems.
🔑Resume Keywords
💡 Use these phrases to help ATS systems and human recruiters find your qualifications.
Quick Links
Grade Levels
❓Frequently Asked Questions about GS-1520
What is a federal Mathematician?
A GS-1520 Mathematician conducts mathematical research and applies mathematical theories to solve complex problems for the federal government. These professionals develop mathematical models, create algorithms, perform advanced analysis, and collaborate with scientists and engineers at agencies like NSA, DOD research facilities, NASA, NIST, and DOE national laboratories.
How much does a federal Mathematician make?
Federal Mathematicians earn between $34,454 (GS-5 Step 1) and $162,672 (GS-15 Step 10) on the 2025 GS scale. Most positions are at GS-11 through GS-14. A GS-13 Mathematician earns $90,025-$117,034. NSA (largest employer), DOD research facilities, and national laboratories offer positions. Senior research mathematicians can reach GS-15 or Senior Level (SL) positions.
What are the requirements for GS-1520 positions?
GS-1520 requires a degree in mathematics or equivalent with at least 24 semester hours in mathematics. Coursework must include differential and integral calculus plus four additional advanced math courses requiring calculus as prerequisite. Specialization in applied mathematics, statistics, or computational mathematics strengthens applications for most federal positions.
Can military experience substitute for education in GS-1520?
The required mathematics degree cannot be substituted with military experience alone. However, veterans with math degrees combined with military analytical experience are excellent candidates. Experience in cryptography, signals intelligence, weapons modeling, or technical intelligence provides relevant background. Many NSA mathematicians come from military intelligence backgrounds.
What is the career progression for Mathematician?
Mathematicians follow the GS-5/7/9/11/12 progression with journey level at GS-12 or GS-13. Senior mathematicians and research leads reach GS-14/15 or Senior Level positions. Career paths include specializing in cryptography (NSA), applied research (national labs), or theoretical mathematics. Some transition to research management or scientific leadership positions.
How do I apply for GS-1520 jobs on USAJOBS?
Search USAJOBS.gov for "Mathematician" or "Research Mathematician" under series 1520. NSA, DOD research facilities, NASA, NIST, and DOE labs are primary employers. Highlight your mathematical specialization, programming skills (Python, MATLAB, C++), and any publications. Many positions require security clearances—include clearance status in your resume. NSA hires heavily in this series.
Ready to Apply for GS-1520?
Create a tailored federal resume that meets OPM standards.