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

mathematics

Lecture notes of the course Analysis On Manifolds

Numerical integration over Meshes.jl geometry domains

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

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

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.

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

String theory geometry toolkit

Fundamentals of the control-toolbox ecosystem

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

A symbolic differential form library for python

Polyscope application demonstrating the Ponca library

2d plot library displaying scalar/vector fields reconstructed using Ponca

⟨Grassmann-Clifford-Hodge⟩ multilinear differential geometric algebra

Repository hosting the resources for the Lean demo session of my talk presented at the weekly research seminar on CHallenges in ANalysis and GEometry (CHANGE) at the University of Trento on February 11, 2025.

A Journey Toward Understanding: SICP → SICM → FDG learning monorepo with functional notation (code = math)

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

Manifold learning approach for detecting resolvable gravitational wave sources in LISA confusion noise using CNN autoencoders and continuous wavelet transforms.

Differential geometry visualized.