Topics in Differential Topology
MATH 856 covers topics in differential topology, including manifolds, forms, Lie groups, and fiber bundles.
Summary
Recent recorded grades — Fall 2015: 4.00 GPA, 100.0% A/AB (n=21 letter grades); Fall 2017: 4.00 GPA, 100.0% A/AB (n=6 letter grades); Fall 2021: 4.00 GPA, 100.0% A/AB (n=15 letter grades).
Grade history
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Prerequisites
Course mapGraduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program
- Graduate/professional standing
- member of the Pre-Masters Mathematics (Visiting International) Program
This is a best-effort interpretation; check the catalog requirements above.
Prerequisite text tree
- Any of
- Graduate/professional standing
- member of the Pre-Masters Mathematics (Visiting International) Program
Professors
Fall 2026No instructors recorded for this selection.
Historical instructors & teaching patterns
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Calendar & sections
Fall 2026Schedule loads here as you scroll.
| Section | Mode | Enrolled / capacity | Waitlist |
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Meeting source records
No records available.
Student experience
the class
Recent recorded grades — Fall 2015: 4.00 GPA, 100.0% A/AB (n=21 letter grades); Fall 2017: 4.00 GPA, 100.0% A/AB (n=6 letter grades); Fall 2021: 4.00 GPA, 100.0% A/AB (n=15 letter grades).
difficulty & workload
No workload feedback recorded.
Topics
Skills
Grades
Latest available · Fall 2021— not enough history to project Fall 2026.
Grade distribution · % of letter grades
Grades over time
Through Fall 2021
More grade details Grade mix, volume & source data
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Sources & history
Catalog & offerings
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Raw records
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Student reviews
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Grade history
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Explore recorded gradesModel outputs & technical records
LLM outputs across runs
Full model traces
Recorded model configuration, reasoning, and tool conversations.
Model & dataset provenance
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"output_id": "ee4a8725e4dbef7833cfe02e8917b72d25b637c78f7777c54cb8184c06a2ee9d",
"requirements_status": "valid",
"dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
"observed_at": "2026-09-07 15:55:43.033547+00:00"
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