MAST 699
Topics in Algebra
Fall 2026 · Topics in Pure and Applied Mathematics
Topics
- Arithmetic theory of elliptic curves
- Elliptic curves over local fields
- Arithmetic over global fields
Readings
- Course notes supplied throughout the course.
- Basic background reference (title not stated in outline): https://link.springer.com/book/10.1007/978-0-387-09494-6
Winter 2025 · Abstract Algebra II
Topics
- Rings, fields, ring maps and ideals
- Prime and maximal ideals
- Euclidean domains and unique factorization
- Noetherian rings, polynomial rings and dimension
- Modules, vector spaces, generators and bases
- Ring algebras
Readings
- Primary text (requirement not stated): David S. Dummit and Richard M. Foote. Abstract Algebra.
- Secondary text (requirement not stated): M. F. Atiyah and I. G. Macdonald. Introduction to Commutative Algebra.
Winter 2023 · MATH 470
Readings
- Abstract Algebra, by David S. Dummit and Richard M. Foote.
Winter 2022 · MATH 470
Readings
- Abstract Algebra, by David S. Dummit and Richard M. Foote.
Fall 2021 · MATH 494
Readings
- Marcus, Number Fields.
- Janusz, Algebraic Number Theory.
Sources
- Course catalogue ↗2026–2027
- Syllabus or course outline ↗Fall 2026
- Syllabus or course outline ↗Winter 2025
- Historical course outline ↗Fall 2024
- Historical course outline ↗Fall 2023
- Historical course outline ↗Winter 2023
- Historical course outline ↗Winter 2023
- Historical course outline ↗Winter 2022
- Historical course outline ↗Fall 2021
- Historical course outline ↗Fall 2021
- Fall 2026 outline. Course header explicitly lists MATH 494, MAST 699, MAST 833. The reference is supplied only as a DOI link; a bibliographic title has not been inferred.
- Winter 2025 outline. Course header explicitly lists MATH 470, MAST 699, MAST 833.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.