xyzw12345/CohenMacaulay
Apr 2025 – May 2025
2 Months active
Languages Used
Lean
Technical Skills
Abstract AlgebraCategory TheoryHomological AlgebraFormal Verification
Yijun Yuan
PROFILE
Yijun Yuan
Worked on the CohenMacaulay library to formalize core concepts in homological algebra, focusing on depth theory, projective dimension, and the Auslander–Buchsbaum theorem. Leveraged Lean to introduce rigorous definitions for depth via Ext, projection dimension, and finite projective dimension, while refactoring depth-related structures for clarity and maintainability. Improved code quality by unifying naming conventions and enhancing documentation, supporting future development. Addressed a critical bug in the Auslander–Buchsbaum calculation by redesigning finiteness logic with WithBot ℕ∞ and robust handling of ⊥, ensuring accurate results for modules with finite projective dimensions. Applied expertise in abstract algebra, category theory, and formal verification.
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 peopleWork 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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