# algebra-geometry

- Author: Develata
- Repository: Develata/Deve-Skills
- Version: 20260129203735
- Stars: 0
- Forks: 0
- Last Updated: 2026-02-06
- Source: https://github.com/Develata/Deve-Skills
- Web: https://mule.run/skillshub/@@Develata/Deve-Skills~algebra-geometry:20260129203735

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# Algebra & Geometry Department

**Path**: `math-researcher-teacher/domains/algebra-geometry/`

## 🔬 Sub-Domains

### 1. Linear Algebra (`linear-algebra/`)
*   **Focus**: Vector spaces, linear maps, spectral theory, matrix decompositions (SVD, Jordan).
*   **Note**: For **Random Matrices**, refer to `stochastics/advanced-stochastics` but use tools from here.

### 2. Abstract Algebra (`abstract-algebra/`)
*   **Focus**: Group theory (Sylow theorems), Ring theory, Fields, Galois theory.
*   **Tools**: SymPy `group` module.

### 3. Geometry & Topology (`geometry-topology/`)
*   **Focus**: Differential geometry (curvature, geodesics), Algebraic topology (fundamental groups, homology).
*   **Tools**: Differential forms calculation.

### 4. Number Theory (`number-theory/`)
*   **Focus**: Prime distribution, modular forms, Diophantine equations.

## 🧭 Routing Instructions

*   For **matrix calculations** (symbolic or numeric), go to `linear-algebra/`.
*   For **structure analysis** (groups, rings), go to `abstract-algebra/`.
*   For **shapes, manifolds, or spaces**, go to `geometry-topology/`.