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CIP 27.0105 · CLASSIFICATION 2020

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.

How to use this list

These institutions reported at least one first-major completion in this field in the connected reporting years ending 2025, 2024, 2022, 2021, 2020. This shows historical award activity, not a complete list of available programs or an assurance that a course is accepting applications.

Compare the degree level, curriculum, teaching language and costs on the institution’s current official website. Related subjects may use different CIP codes.

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Sources: NCES CIP 2020 classification and C2025_A.zip, C2020_A.zip, C2021_A.zip, C2022_A.zip, C2024_A.zip.

Connected Topology and Foundations award observations

Each row describes one ending year and award level for CIP 27.0105. Institution counts overlap across levels and years. Award counts are historical first-major awards, not unique people, available places, programme quality or a graduation rate.

Year endingAward levelReporting institutionsPositive awards
2025Doctorate — research13
2024Doctorate — research12
2022Doctorate — research13
2021Doctorate — research12
2020Doctorate — research13

A year ending 2025 describes July 2024–June 2025. Do not add different years to estimate an entering class or current enrolment. Follow an institution's field link below to inspect the exact records.

These counts cover exact institution-ID matches to our connected directory, rather than a complete national total. Historical providers outside that population remain in the original source evidence and are not assigned invented matches. Read the population and archive rules →

Research the exact programme behind this field

CIP 27.0105 is a reporting classification. The official definition above explains its scope, while a university may use a different programme title. Related fields in classification family 27 can involve different curricula and award levels.

On the current institution website, record the exact degree title, campus, entry route, teaching language, curriculum and cycle. Compare those details with the classification definition before assuming that two similarly named degrees cover the same subject. For regulated professions, check the relevant licensing or recognition body's current requirements separately.

A positive award observation establishes historical activity in this classification. It does not confirm a current application opening, professional recognition, a specific delivery format or career outcome.

Compare two field definitions and historical records → · Use CIP codes to research fields → · Build your field research questions →

Institutions with reported graduates

1 institutions

Related fields

Mathematics, General. ↗

Algebra and Number Theory. ↗

Analysis and Functional Analysis. ↗

Geometry/Geometric Analysis. ↗

Mathematics, Other. ↗

Applied Mathematics, General. ↗