by our College Data Analytics TeamIn the latest year, 1 U.S. colleges awarded 3 degrees and certificates in Topology & Foundations. Graduates earn a median $51,606 one year after completing, rising to $75,664 after four years.
Studying Topology & Foundations covers Topology And Foundations. A Program That Focuses On The Properties Of Unaltered Geometric Configurations Under Conditions Of Continuous, Multi-Directional Transformations. Includes Instruction In Mathematical Logic, Proof Theory, Model Theory, Set Theory, Combinatorics, Continua, Homotopy, Homology, Links, And Transformation Actions.
Source: IPEDS 2025; College Scorecard July 2026; BLS; O*NET; College Factual rankings. Data as of: July 2026.
In the U.S., topology & foundations is a popular field of study, with 3 degrees awarded annually. 1 colleges award topology & foundations degrees, an average of 3 graduates per school; the largest program awarded 3.
All 3 of the awards are doctorates, the only level colleges reported.
O*NET rates Reading Comprehension the most important skill for jobs related to topology & foundations, at 4.0 out of 5. The key knowledge areas are English Language, Customer and Personal Service and Mathematics. The most important abilities are Written Comprehension, Oral Expression and Oral Comprehension.
Top skills, rated 0–5:
Top knowledge areas, rated 0–5:
How long a topology & foundations degree takes:
| Degree | Typical Program Length | Graduates Annually |
|---|---|---|
| Doctorate | At least 4 years | 3 |
Bachelor’s degree is the most common level of education among workers in jobs related to topology & foundations, at 44.6%.
| Level of Education | Percentage of Workers |
|---|---|
| Bachelor’s degree | 44.6% |
| Master’s degree | 16.3% |
| Doctoral degree | 11.4% |
| Post-doctoral training | 6.8% |
| Postsecondary certificate | 6.2% |
| Some college courses | 4.9% |
| Associate’s degree (or other 2-year) | 4.5% |
| High school diploma or equivalent | 3.7% |
| Post-master’s certificate | 0.5% |
| First professional degree | 0.5% |
| Post-baccalaureate certificate | 0.5% |
Source: O*NET Online.
5 occupations are related to Topology & Foundations, with an average median salary of $105,935; the strongest outlook belongs to Mathematical Science Teachers, Postsecondary, at 14.0% projected job growth. Typical job titles include Clinical Project Manager, Research Coordinator, Clinical Trials Manager and Clinical Manager.
The occupation related to topology & foundations with the most projected jobs is Clinical Research Coordinators, at 542,888.
| Occupation | Projected Jobs | Expected Growth |
|---|---|---|
| Clinical Research Coordinators | 542,888 | 10.4% |
| Natural Sciences Managers | 179,495 | 8.7% |
| Mathematicians | 109,873 | 8.5% |
| Mathematical Science Teachers, Postsecondary | 96,977 | 14.0% |
| Water Resource Specialists | 78,994 | -0.4% |
Topology & Foundations graduates earn a median $51,606 one year after completing their program, $75,664 after four years and $75,766 after five years, according to the U.S. Department of Education’s College Scorecard.
| Years Out | Median Earnings |
|---|---|
| 1 year | $51,606 |
| 4 years | $75,664 |
| 5 years | $75,766 |
Source: College Scorecard.
The highest-paying occupation related to topology & foundations is Water Resource Specialists, with a median salary of $179,716.
| Occupation | Median Annual Salary |
|---|---|
| Water Resource Specialists | $179,716 |
| Natural Sciences Managers | $132,227 |
| Clinical Research Coordinators | $110,931 |
| Mathematicians | $66,238 |
| Mathematical Science Teachers, Postsecondary | $40,564 |
Topology & Foundations has 3 similar majors in the Mathematics & Statistics field, which together award 26,976 degrees a year; the largest are Mathematics, General (26,595), Mathematics, Other (374) and Analysis and Functional Analysis (7). Browse all Mathematics & Statistics majors or the full list of college majors.
| Related Major | Annual Graduates |
|---|---|
| Mathematics, General | 26,595 |
| Mathematics, Other | 374 |
| Analysis and Functional Analysis | 7 |
More about our data sources and methodologies.