leanprover-community/mathlib4
Aug 2025 – May 2026
3 Months active
Languages Used
Lean
Technical Skills
Abstract AlgebraCategory TheoryFormal Verificationformal verificationmathematicstheoretical computer science
Nikolas Tapia
PROFILE
Nikolas Tapia
Over a three-month period, contributed foundational algebraic structures to the leanprover-community/mathlib4 repository, focusing on formalizing pre-Lie and Lie-admissible rings and algebras in Lean. Developed definitions for left and right pre-Lie rings and algebras, demonstrating their equivalence and integrating them into the library’s API to support advanced algebraic constructions. Extended the codebase by defining Lie-admissible rings and algebras, upgrading related structures, and providing proofs and typeclass instances to establish Lie-admissibility for all rings and algebras. Leveraged expertise in abstract algebra, category theory, and formal verification to enhance the mathematical infrastructure and enable new research workflows.
Overall Statistics
Feature vs Bugs
100%Features
Repository Contributions
3Total
Bugs
0
Commits
3
Features
3
Lines of code
353
Activity Months3
Your Network
317 peopleSame Organization
@wias-berlin.de2
Shared Repositories
315
Work History
May 2026
1 Commits • 1 Features
May 1, 2026May 2026 monthly summary for leanprover-community/mathlib4. Key outcomes: Implemented Lie-Admissible Rings and Algebras support by providing proofs and typeclass instances, enabling users to work with Lie-admissible structures in the library. Commit 0d6aac3bd299e83371d0caa6e0d2cdff5700897d consolidates the work: feat(NonAssoc/LieAdmissible): prove every ring/algebra is LieAdmissible (#29434).
1 Commits • 1 Features
May 1, 2026May 2026 monthly summary for leanprover-community/mathlib4. Key outcomes: Implemented Lie-Admissible Rings and Algebras support by providing proofs and typeclass instances, enabling users to work with Lie-admissible structures in the library. Commit 0d6aac3bd299e83371d0caa6e0d2cdff5700897d consolidates the work: feat(NonAssoc/LieAdmissible): prove every ring/algebra is LieAdmissible (#29434).
May 2026
September 2025
1 Commits • 1 Features
Sep 1, 2025September 2025 monthly summary for leanprover-community/mathlib4 focusing on feature delivery and technical accomplishments.
September 2025
1 Commits • 1 Features
Sep 1, 2025September 2025 monthly summary for leanprover-community/mathlib4 focusing on feature delivery and technical accomplishments.
August 2025
1 Commits • 1 Features
Aug 1, 2025August 2025 - Delivered foundational pre-Lie algebra primitives in leanprover-community/mathlib4, establishing left and right pre-Lie rings and algebras and their equivalence via the op operation. Implemented new files and imports to integrate these definitions into the codebase, enabling a unified pre-Lie API and paving the way for higher-level algebraic constructions.
1 Commits • 1 Features
Aug 1, 2025August 2025 - Delivered foundational pre-Lie algebra primitives in leanprover-community/mathlib4, establishing left and right pre-Lie rings and algebras and their equivalence via the op operation. Implemented new files and imports to integrate these definitions into the codebase, enabling a unified pre-Lie API and paving the way for higher-level algebraic constructions.
August 2025
Activity
Loading activity data...
Quality Metrics
Correctness100.0%
Maintainability100.0%
Architecture100.0%
Performance93.4%
AI Usage20.0%
Skills & Technologies
Programming Languages
Lean
Technical Skills
Abstract AlgebraCategory TheoryFormal Verificationformal verificationmathematicstheoretical computer science
Repositories Contributed To
Overview of all repositories you've contributed to across your timeline