leonlin.dev
Discrete Differential Geometry & Scientific Computing

Discretizing continuous manifolds into deterministic C++ architectures.

I am an independent computational researcher and systems engineer. My work explores the synthesis of moving frame kinematics, conservation-law numerical field solvers, and agent-driven engineering workflows.

Core: ISO C++20 / Differential Geometry
Focus: B-Rep Topology & Kinetic Solvers

// Research & Engineering Pillars

01 / GEOMETRY

Kinematic Curves & Surfaces

Constructing rotation-minimizing frames (RMF), sweep/loft manifolds, and non-singular offset geometry for robust boundary representations.

02 / PHYSICS

Continuous Field Simulation

Formulating conservative high-order spatial discretizations, phase-space transport, and conservative numerical methods for continuous physical fields.

03 / WORKFLOWS

Agentic Development Flywheel

Architecting headless agent harnesses, mutation fuzzing for geometric edge cases, and automated regression pipelines for zero-overhead velocity.

// Featured Artifacts & Codebases

Clean-room / MIT Licensed
flow-surfaces-core C++20

Moving frame kinematics and profile deformation kernel using Double Reflection RMF and Lie-algebraic rotation optimization.

[Public Repo Pending]
discrete-kinetic-toy PDE / Solvers

High-resolution finite-volume benchmarks for hyperbolic conservation laws, complete with ParaView pipeline exports and VTK writers.

[Public Repo Pending]

Advisory & Independent Consulting

I provide technical evaluation, architecture reviews, and computational advisory in discrete geometry, continuous field solvers, and agentic engineering infrastructure.

Direct Inquiries: contact@leonlin.dev