A comprehensive open source computer algebra system for computations in algebra, geometry, and number theory.

Computational algebraic number theory

Julia bindings for various mathematical libraries (including flint2)

Generic abstract algebra functionality in pure Julia (no C dependencies)

Clifford circuits, graph states, and other quantum Stabilizer formalism tools.

Fast and automatic structural identifiability software for ODE systems

Groebner bases in (almost) pure Julia

Snowflurry is an open source Julia-based software library for implementing quantum circuits, and then running them on quantum computers and quantum simulators. The project is sponsored by Anyon Systems, Inc. See https://snowflurrySDK.github.io/Snowflurry.jl/dev for the latest documentation.

Julia implementations of symbolic integration algorithms

Julia package for the Singular library

Exact representation and calculation with roots (e.g. square roots) and their addition/multiplication

A full stack simulator of quantum hardware, from the low-level analog physics to high-level network dynamics. Includes discrete event simulator, symbolic representation for quantum object, and works with many backend simulators.

Interface to Polymake using CxxWrap

ParameterEstimation.jl is a Julia package for estimating parameters and initial conditions of ODE models given measurement data.

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Exact reduction of ODE models via linear transformations

Toolbox for quantum information, nonlocality, and entanglement

Implementation of modular forms algorithms in Julia

Category Theory Framework

Julia package to provide reference European option prices for stochastic volatility models with a known characteristic function, such as the Heston stochastic volatility model.

Julia wrapper for gb

Sequences basics

A semidefinite programming solver for clustered low-rank SDPs

Julia code for factorization of polynomials over the integers

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DecomposingPolynomialSystems.jl is a Julia package that decomposes (simplifies) a given polynomial system using tools from numerical algebraic geometry.

The homalg project compatibility package for Julia

An implementation of the Atiyah-Bott formula for the moduli space of genus 0 stable maps.

Computing the prior number of clusters for Gibbs-type priors.

Julia package implementing the ring of Gaussian integers using the generic (Euclidean) ring interface of AbstractAlgebra.jl

Exact simulation of the Wright--Fisher diffusion

A package for finding real roots of systems of polynomial equations using polyhedral homotopy.

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Julia wrapper for Ccluster

Methods to find zeros (roots) of polynomials over given domains

Automated Local Fourier Analysis

Poudre de perlimpinpin

Integer triangles basics

Jack, Zonal, and Schur polynomials.

A few functions for working with indefinite quadratic forms.