HEPLean/PhysLean
Jan 2026 – Apr 2026
3 Months active
Languages Used
Lean
Technical Skills
formal methodsformal verificationmathematical formalizationmathematical modelingmathematical proofmathematics
kastch
PROFILE
Kastch
Worked on the HEPLean/PhysLean repository to formalize and verify mathematical proofs in classical mechanics and tensor algebra, focusing on rigorous modeling of harmonic oscillator trajectories and Lorentz tensor conversions. Applied Lean programming and functional programming techniques to replace informal placeholders with fully verified proofs, enhancing correctness and reliability. Developed and validated real-to-complex Lorentz tensor conversion logic, improving maintainability and auditability of core mathematical modules. Refactored code for modularity and clarity, and implemented comprehensive linter and documentation improvements. This work strengthened the mathematical foundation for downstream physics computations and demonstrated depth in formal methods, type theory, and mathematical proof development.
Overall Statistics
Feature vs Bugs
100%Features
Repository Contributions
11Total
Bugs
0
Commits
11
Features
4
Lines of code
1,421
Activity Months3
Work History
April 2026
1 Commits • 1 Features
Apr 1, 2026Month: 2026-04. Focused on delivering mathematically sound and maintainable improvements in the HEPLean/PhysLean project, with a strong emphasis on reliability and downstream business value. Delivered a rigorous enhancement to the Real Lorentz Tensor to Complex Tensor conversion proof (realLorentzTensor.toComplex_equivariant), reinforced by structural proof improvements and deprecation of placeholders. Implemented targeted code quality efforts (linter fixes, authoring improvements) to raise maintainability and review efficiency. Performed architectural refactor by moving SlotRepr to ComplexTensor/Basic.lean to improve modularity and readability. Overall, the work reduces downstream risk in mathematical transformations, improves confidence in the core proof, and enhances long-term maintainability for the repository.
1 Commits • 1 Features
Apr 1, 2026Month: 2026-04. Focused on delivering mathematically sound and maintainable improvements in the HEPLean/PhysLean project, with a strong emphasis on reliability and downstream business value. Delivered a rigorous enhancement to the Real Lorentz Tensor to Complex Tensor conversion proof (realLorentzTensor.toComplex_equivariant), reinforced by structural proof improvements and deprecation of placeholders. Implemented targeted code quality efforts (linter fixes, authoring improvements) to raise maintainability and review efficiency. Performed architectural refactor by moving SlotRepr to ComplexTensor/Basic.lean to improve modularity and readability. Overall, the work reduces downstream risk in mathematical transformations, improves confidence in the core proof, and enhances long-term maintainability for the repository.
April 2026
February 2026
4 Commits • 1 Features
Feb 1, 2026February 2026 performance summary for HEPLean/PhysLean focused on the core math of tensor conversions and code quality improvements. Delivered proofs and validations for real Lorentz tensor toComplex conversions, with emphasis on correctness, maintainability, and auditability to support reliable downstream physics calculations.
February 2026
4 Commits • 1 Features
Feb 1, 2026February 2026 performance summary for HEPLean/PhysLean focused on the core math of tensor conversions and code quality improvements. Delivered proofs and validations for real Lorentz tensor toComplex conversions, with emphasis on correctness, maintainability, and auditability to support reliable downstream physics calculations.
January 2026
6 Commits • 2 Features
Jan 1, 2026January 2026 (HEPLean/PhysLean): Formal proofs and mathematical rigor advanced in classical mechanics and tensor algebra. Implemented a Harmonic Oscillator Trajectory Uniqueness Proof, formalizing that, given initial conditions, the trajectory is the unique solution to the equations of motion in the classical oscillator model. Expanded tensor/Lorentz tensor formalism with robust definitions, lemmas, and transformations (color-to-complex, real/complex representations), and introduced the isTotalTimeDerivativeVelocity lemma in Lagrangian mechanics to enhance mathematical rigor. Addressed and removed placeholders ('sorry') across core proofs, replacing informal work with formal results, thereby improving correctness guarantees and reliability. This work lays a stronger foundation for future extensions in physics modeling and verification, and demonstrates proficiency in formal methods and mathematical rigor across mechanics and tensor algebra.
6 Commits • 2 Features
Jan 1, 2026January 2026 (HEPLean/PhysLean): Formal proofs and mathematical rigor advanced in classical mechanics and tensor algebra. Implemented a Harmonic Oscillator Trajectory Uniqueness Proof, formalizing that, given initial conditions, the trajectory is the unique solution to the equations of motion in the classical oscillator model. Expanded tensor/Lorentz tensor formalism with robust definitions, lemmas, and transformations (color-to-complex, real/complex representations), and introduced the isTotalTimeDerivativeVelocity lemma in Lagrangian mechanics to enhance mathematical rigor. Addressed and removed placeholders ('sorry') across core proofs, replacing informal work with formal results, thereby improving correctness guarantees and reliability. This work lays a stronger foundation for future extensions in physics modeling and verification, and demonstrates proficiency in formal methods and mathematical rigor across mechanics and tensor algebra.
January 2026
Activity
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Quality Metrics
Correctness89.0%
Maintainability85.4%
Architecture85.4%
Performance81.8%
AI Usage23.6%
Skills & Technologies
Programming Languages
Lean
Technical Skills
Lean programmingcategory theoryformal methodsformal verificationfunctional programmingmathematical formalizationmathematical modelingmathematical proofmathematical proofsmathematicsproof developmenttensor algebratensor calculustheorem provingtype theory
Repositories Contributed To
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