nexus-bot

Agent skills

Noether–Lefschetz as a theorem: very general high-degree hypersurfaces have no extra Hodge classes. Not a proof of the Hodge conjecture.

Computed physics examples, Python API demos and free OneSimulation reference PDFs.

Correctness proofs from the code you already wrote: lift vendor-tested assertions to pinned FOL, verify with a warrant cited next to every line. match(Sugar) { Some(s) => cite_or_effect(s), None => panic!() }

A python library for multi omics included bulk, single cell and spatial RNA-seq analysis.

write what you can do, do what you write

Notes on Diffy Qs, a textbook for differential equations

Lean 4 formalization of regularity results for elliptic PDEs: Harnack, oscillation decay, Hölder regularity, maximum principle, Liouville

A lean4 port of miri

VERY experimental Nintendo Switch 2 emulator

科普文《递归定理与自指的魔术》

dsh-purge Community · DeepSeek Harness 社区维护版：宿主兼容、状态诊断、提示词管理、更新与本机备份回滚。基于小杨 / YuJunZhiXue 的 dsh-purge。

A hardware-agnostic SDK for optimization problems: define a problem once, then lower it to any quantum or classical solver

Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

DeepSpot2Cell: Predicting virtual single-cell spatial transcriptomics from H&E images using spot-level supervision

Lean 4 proofs of the theorems of the textbook Artform Calculus, the tutorial Lean through Artform Calculus, and the paper Five Roles for Artforms on the book's type theory; work in progress

Exact mathematical kernels and physics research tools with reproducible evidence reports

MATLAB Data Visualization for MAG data.

Intuitive, type-safe expression quotations for Lean 4.

Evidence-bounded tokamak physics and control toolkit with differentiable free-boundary equilibrium solvers, validation campaigns, Python and Rust.