Math Papers with Code

A collection of implementations of mathematical algorithms and concepts from various academic papers in multiple programming languages.

Implemented Papers

Current Implementations

Paper Title	Author(s)	arXiv	Implementations	Status	Directory
Relative Sizes of Iterated Sumsets	Noah Kravitz	2412.18598		✅ Complete	papers/iterated-sumsets/
A Remark on an Explicit Formula for the Sums of Powers of Integers	José L. Cereceda	2503.14508v2		✅ Complete	papers/stirling-numbers-power-sums/
The Neveu-Schwarz Group and Schwarz's Extended Super Mumford Form	Katherine A. Maxwell & Alexander A. Voronov	2412.18585		⏸️ On Hold	papers/super-mumford/
Derivative Polynomials and Infinite Series for Squigonometric Functions	Bart S. Van Lith	2503.19624		✅ Complete	papers/squigonometry/
Inverse Source Problems for a Multidimensional Time-Fractional Wave Equation	D.K. Durdiev	2503.17404v1		✅ Complete	papers/frac-wave-inverse-problems/

Implementation Status Legend

Status	Description
✅ Complete	Implementation finished and tested
🚧 In Progress	Currently being implemented
📝 Planned	On roadmap for implementation
⏸️ On Hold	Implementation paused

Coming Soon

Future papers will be added to this collection. Suggestions for new implementations are welcome through issues or pull requests.

Repository Structure

Each paper implementation is organized in its own directory with its implementation:

.
├── README.md
├── papers/
│   ├── iterated-sumsets/
│   │   ├── README.md
│   │   └── python/
│   │       ├── iterated_sumsets.py
│   │       └── tests/
│   ├── super-mumford/
│   │   ├── README.md
│   │   └── python/
│   │       ├── core/
│   │       │   ├── __init__.py
│   │       │   ├── laurent_series.py
│   │       │   ├── matrix_ops.py
│   │       │   └── vector_spaces.py
│   │       ├── geometry/
│   │       │   ├── __init__.py
│   │       │   ├── grassmannian.py
│   │       │   └── line_bundles.py
│   │       ├── groups/
│   │       │   ├── __init__.py
│   │       │   ├── heisenberg.py
│   │       │   ├── neveu_schwarz.py
│   │       │   └── witt.py
│   │       ├── tests/
│   │       │   ├── __init__.py
│   │       │   ├── test_laurent_series.py
│   │       │   ├── test_matrix_ops.py
│   │       │   └── test_vector_spaces.py
│   │       ├── utils/
│   │       │   ├── __init__.py
│   │       │   └── validation.py
│   │       ├── README.md
│   │       └── pyproject.toml
│   └── future-papers/
│       ├── README.md
│       └── python/
└── common/
    ├── testing/
    └── benchmarks/

Using the Implementations

Each paper implementation includes its own README with specific instructions. For Python implementations:

# Example for Super Mumford project
cd papers/super-mumford/python
pip install -r requirements.txt
python -m pytest tests/

Contributing

Contributions are welcome! To contribute:

1. Select a mathematics paper to implement
2. Create a new directory under papers/
3. Implement the paper's concepts
4. Include:
   • README.md with paper details
   • Source code
   • Tests (if applicable)
   • Docker support (if applicable)
   • Documentation (if applicable)
   • Performance benchmarks (optional)

Please see CONTRIBUTING.md for detailed guidelines.

Paper Implementation Guidelines

Each paper implementation should:

1. Documentation

   • Include link to original paper
   • Explain key concepts
   • Provide usage examples
   • Document any assumptions or limitations

2. Code Structure

   • Clear organization
   • Well-commented code
   • Tests
   • Docker support (where applicable)

3. Performance

   • Efficient implementations
   • Benchmarking (optional)
   • Optimization notes

License

This project is licensed under the MIT License - see the LICENSE file for details.

Acknowledgments

• All original paper authors
• Contributors to the implementations
• Open source community