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⟩ multilinear 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.

C++ template metaprogram driven tensor math library

Model and solve optimal control problems in Julia

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

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

Ponca (fomerly known as Patate) is a header only C++/CUDA library for point cloud analysis

Numerical integration over Meshes.jl geometry domains

Discrete differential geometry on simplicial complexes

Visualize curve shortening flow in your browser.

Lecture notes of the course Analysis On Manifolds

Polyscope application demonstrating the Ponca library

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.