leanprover-community/mathlib4
Mar 2026 – Jun 2026
3 Months active
Languages Used
Lean
Technical Skills
formal verificationmathematicstheorem provingfunctional programmingAlgebraAlgebraic Geometry
William Coram
PROFILE
William Coram
Over three months, contributed to the leanprover-community/mathlib4 repository by developing foundational features in algebra and formal verification using Lean. Work included enhancing group theory with modular double coset lemmas to improve subgroup interaction proofs, and expanding the power series library to support multivariate Gauss norms, enabling more robust mathematical analysis. Further efforts established the Gauss norm as an absolute value on multivariate power series and introduced restricted multivariate power series over normed rings, complete with supporting lemmas and refactored non-archimedean utilities. The approach emphasized maintainability, theorem proving, and functional programming, laying groundwork for future mathematical formalization and automation.
Overall Statistics
Feature vs Bugs
100%Features
Repository Contributions
6Total
Bugs
0
Commits
6
Features
4
Lines of code
807
Activity Months3
Your Network
316 peopleSame Organization
@uea.ac.uk1
Shared Repositories
315
Work History
June 2026
3 Commits • 2 Features
Jun 1, 2026June 2026: progress on Gauss norm and restricted multivariate power series in mathlib4. Core achievements include proving gaussNorm_mul_le and gaussNorm_le_mul to establish Gauss norm as an absolute value on MvPowerSeries, finishing with gaussNorm_neg and gaussNorm_mul_eq_mul; and introducing multivariate restricted power series over a normed ring R with the corresponding ring structure under ultrametric conditions. Refactoring of non-archimedean utility functions to support these proofs. These efforts strengthen the formal framework for non-archimedean analysis and enable robust future theorems in multivariate power series.
3 Commits • 2 Features
Jun 1, 2026June 2026: progress on Gauss norm and restricted multivariate power series in mathlib4. Core achievements include proving gaussNorm_mul_le and gaussNorm_le_mul to establish Gauss norm as an absolute value on MvPowerSeries, finishing with gaussNorm_neg and gaussNorm_mul_eq_mul; and introducing multivariate restricted power series over a normed ring R with the corresponding ring structure under ultrametric conditions. Refactoring of non-archimedean utility functions to support these proofs. These efforts strengthen the formal framework for non-archimedean analysis and enable robust future theorems in multivariate power series.
June 2026
April 2026
2 Commits • 1 Features
Apr 1, 2026Month: 2026-04 — This period focused on delivering essential library expansion for power series in mathlib4 and refining the Gauss norm API to support multivariate cases. No major bug fixes reported for this month in the scope of the provided work items. Key work emphasizes enabling more robust mathematical analysis and laying groundwork for future features, with a strong emphasis on API clarity and maintainability.
April 2026
2 Commits • 1 Features
Apr 1, 2026Month: 2026-04 — This period focused on delivering essential library expansion for power series in mathlib4 and refining the Gauss norm API to support multivariate cases. No major bug fixes reported for this month in the scope of the provided work items. Key work emphasizes enabling more robust mathematical analysis and laying groundwork for future features, with a strong emphasis on API clarity and maintainability.
March 2026
1 Commits • 1 Features
Mar 1, 2026March 2026 monthly summary for leanprover-community/mathlib4 focusing on group theory enhancements and double coset lemmas. Delivered a feature that strengthens the mathematical framework for subgroup interactions and lays groundwork for future theorems. Collaboration with William Coram contributed to robust, maintainable changes. No major bugs recorded in the provided data for this period.
1 Commits • 1 Features
Mar 1, 2026March 2026 monthly summary for leanprover-community/mathlib4 focusing on group theory enhancements and double coset lemmas. Delivered a feature that strengthens the mathematical framework for subgroup interactions and lays groundwork for future theorems. Collaboration with William Coram contributed to robust, maintainable changes. No major bugs recorded in the provided data for this period.
March 2026
Activity
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Quality Metrics
Correctness100.0%
Maintainability96.8%
Architecture100.0%
Performance90.0%
AI Usage40.0%
Skills & Technologies
Programming Languages
Lean
Technical Skills
AlgebraAlgebraic GeometryFormal VerificationLeanMathematicsformal verificationfunctional programmingmathematicstheorem proving
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