A curated collection of resources and research related to the geometry of representations in the brain, deep networks, and beyond

The Egison Programming Language

Computer Algebra, Physics and Differential Geometry in Clojure.

⟨Grassmann-Clifford-Hodge⟩ differential geometric algebra

Inclusive model of expression dynamics with conventional or metabolic labeling based scRNA-seq / multiomics, vector field reconstruction and differential geometry analyses

The Emmy Computer Algebra System.

Curvature Filters are efficient solvers for Variational Models

Code for the SIGGRAPH 2022 paper "DeltaConv: Anisotropic Operators for Geometric Deep Learning on Point Clouds."

An object-oriented general relativity package for Mathematica.

Model and solve optimal control problems in Julia, both on CPU and GPU.

High-Performance LISP-like language for Scientific Computing and AI written in C++

C++ template metaprogram driven tensor math library

2D orthogonal elliptic mesh generator which solves the Winslow partial differential equations

Python implementation of the paper "Discrete Differential-Geometry Operators for Triangulated 2-Manifolds" by Meyer et. al. VisMath 2002

Ponca is a header only C++/CUDA library for point cloud analysis

Coordinate transformations play a pivotal role in computer graphics, robotics, and the broader domains of mathematics and physics. This project introduces a novel computable coordinate system object that bridges the gap between theoretical frameworks and numerical computations.

Numerical integration over Meshes.jl geometry domains

Discrete differential geometry on simplicial complexes

Visualize curve shortening flow in your browser.

A curated list of reading material and lecture notes for all things geometry. Mostly focussed on differential and Riemannian geometry with applications to physics, medical imaging and computer vision.

Lecture notes of the course Analysis On Manifolds

ArchGeo library code for the paper "Discrete Orthogonal Structures"

Polyscope application demonstrating the Ponca library

Finite Element Exterior Calculus on Coordinate-Free Simplicial Manifolds in Rust

This repository contains the python implementation of the paper titled "Discrete Differential-Geometry Operators for Triangulated 2-Manifolds" by Meyer et. al. VisMath 2002 http://multires.caltech.edu/pubs/diffGeoOps.pdf

Riemannian geometry in JAX

Matlab and Python code to compute perturbed topological signatures (PTS), an efficient topological representation that lies on the Grassmann manifold.

Mathematics.NET is a C# class library that provides tools for solving advanced mathematical problems.

These are handwritten solutions of almost all exercises in "Gauge Fields, Knots and Gravity" by John Baez & Javier P. Muniain.

TensorField topology of FrameBundle ∇ using Grassmann.jl elements