xyzw12345/CohenMacaulay
Apr 2025 – May 2025
2 Months active
Languages Used
Lean
Technical Skills
Abstract AlgebraCategory TheoryHomological AlgebraFormal Verification
Yijun Yuan
PROFILE
Yijun Yuan
Yuan contributed to the xyzw12345/CohenMacaulay repository by formalizing core homological algebra concepts in Lean, focusing on depth theory and the Auslander–Buchsbaum theorem. Over two months, Yuan introduced rigorous definitions for depth via Ext, projection dimension, and finite projective dimension, refactoring existing structures for clarity and maintainability. Yuan also improved the reliability of dimension computations by redesigning finiteness checks using WithBot ℕ∞, ensuring accurate handling of edge cases such as ⊥. The work demonstrated strong skills in abstract algebra, category theory, and formal verification, resulting in a more robust and extensible mathematical foundation for the library.
Overall Statistics
Feature vs Bugs
50%Features
Repository Contributions
3Total
Bugs
1
Commits
3
Features
1
Lines of code
94
Activity Months2
Your Network
6 people
Work History
May 2025
1 Commits
May 1, 2025May 2025: Focused on correctness and reliability of homological algebra computations in the CohenMacaulay module. Delivered a critical bug fix for Auslander–Buchsbaum calculation, including a refactor of the finite projective dimension logic, a redesigned type to WithBot ℕ∞, and improved handling of ⊥ in finiteness checks to ensure accurate results for modules with finite projective dimensions. This change increases result accuracy, reduces edge-case risk, and lays groundwork for future enhancements in dimension computations.
1 Commits
May 1, 2025May 2025: Focused on correctness and reliability of homological algebra computations in the CohenMacaulay module. Delivered a critical bug fix for Auslander–Buchsbaum calculation, including a refactor of the finite projective dimension logic, a redesigned type to WithBot ℕ∞, and improved handling of ⊥ in finiteness checks to ensure accurate results for modules with finite projective dimensions. This change increases result accuracy, reduces edge-case risk, and lays groundwork for future enhancements in dimension computations.
May 2025
April 2025
2 Commits • 1 Features
Apr 1, 2025Month: 2025-04. Focused on strengthening the mathematical core and maintainability of the Cohen-Macaulay library by formalizing depth-related concepts, projection dimension, and the Auslander–Buchsbaum theorem, and by refactoring depth-related structures. No major bug fixes were required this month; efforts were directed toward formalization, code quality, and documentation to support future feature work.
April 2025
2 Commits • 1 Features
Apr 1, 2025Month: 2025-04. Focused on strengthening the mathematical core and maintainability of the Cohen-Macaulay library by formalizing depth-related concepts, projection dimension, and the Auslander–Buchsbaum theorem, and by refactoring depth-related structures. No major bug fixes were required this month; efforts were directed toward formalization, code quality, and documentation to support future feature work.
Activity
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Quality Metrics
Correctness83.4%
Maintainability80.0%
Architecture80.0%
Performance60.0%
AI Usage20.0%
Skills & Technologies
Programming Languages
Lean
Technical Skills
Abstract AlgebraCategory TheoryFormal VerificationHomological Algebra
Repositories Contributed To
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