By Software

Bertini

• Maximal Mumford Curves from Planar Graphs

CaDiCaL

• Selfadhesivity in Gaussian conditional independence structures

CInet::Base

• Sign patterns of principal minors of real symmetric matrices

CInet::ManySAT

• Sign patterns of principal minors of real symmetric matrices

DifferentialEquations.jl

• Hyperplane Arrangements in the Grassmannian

GANAK

• Sign patterns of principal minors of real symmetric matrices

GAP

• Computation Day

• Enumerating Chambers of Hyperplane Arrangements with Symmetry

• Generation of Matroids

• Orders and Polytropes : Matrix Algebras from Valuations

HomotopyContinuation.jl

• Algebraic Geometry of Quantum Graphical Models

• Euler Stratifications of Hypersurface Families

• Hyperplane Arrangements in the Grassmannian

• Mukai lifting of self-dual points in ℙ⁶

• Principal Landau Determinants

• Proudfoot-Speyer degenerations of scattering equations

• The SagbiHomotopy.jl package for solving polynomial systems

• Santaló Geometry of Convex Polytopes

HomotpyContinuation.jl

• Squared Linear Models

Julia

• Adjoints and Canonical Forms of Polypols

• The algebraic degree of the Wasserstein distance

• Algebraic Geometry of Quantum Graphical Models

• Arrangements and Likelihood

• Average degree of the essential variety

• Bayesian Integrals on Toric Varieties

• Bivariate Exponential Integrals and Edge-Bicolored Graphs

• CC degree of the Grassmannian

• Copositive geometry of Feynman integrals

• Cox Homotopies

• Crossing the transcendental divide: from Schottky groups to algebraic curves

• Enumerating Chambers of Hyperplane Arrangements with Symmetry

• Euler Discriminant of Complements of Hyperplanes

• Euler Stratifications of Hypersurface Families

• Fiber Convex Bodies

• The Gaussian entropy map in valued fields

• Generation of Matroids

• The Geometries of Jordan nets and Jordan webs

• Geometry of Polynomial Neural Networks

• Gibbs Manifolds

• Hilbert Functions of Chopped Ideals

• Hyperplane Arrangements in the Grassmannian

• Intersection Bodies of Polytopes

• Introduction to Toric Geometry

• Landau Discriminants

• Likelihood degenerations

• Likelihood Geometry of Reflexive Polytopes

• Likelihood Geometry of the Squared Grassmannian

• Lines on p-adic and real cubic surfaces

• Logarithmic Discriminants of Hyperplane Arrangements

• Marginal Independence Models

• Matroid Stratification of ML Degrees of Independence Models

• Meet and greet with OSCAR

• Moment Varieties for Mixtures of Products

• Mukai lifting of self-dual points in ℙ⁶

• Orders and Polytropes : Matrix Algebras from Valuations

• The polyhedral type of a polynomial map on the plane.

• Positive Polytopes with Few Facets in the Grassmannian

• Principal Landau Determinants

• Proudfoot-Speyer degenerations of scattering equations

• Quatroids and Rational Plane Cubics

• Quintic Spectrahedra

• Real Circles Tangent to 3 Conics

• Recovery of Plane Curves from Branch Points

• The SagbiHomotopy.jl package for solving polynomial systems

• Santaló Geometry of Convex Polytopes

• Self-dual matroids from canonical curves

• Sign patterns of principal minors of real symmetric matrices

• Solving Equations Using Khovanskii Bases

• Solving two-parameter eigenvalue problems using an alternating method

• Some thoughts and experiments on Bergman’s compact amalgamation problem

• Spinor-Helicity Varieties

• Squared Linear Models

• Tangent Quadrics in Real 3-Space

• Toric Amplitudes and Universal Adjoints

• Tropical Implicitization

• Twisted Cohomology and Likelihood Ideals

• Two Lives of the Grassmannian

• Vector Spaces of Generalized Euler Integrals

Macaulay2

• Algebraic Sparse Factor Analysis

• An algorithm for the identifiability of rank-3 tensors

• Arrangements and Likelihood

• CC degree of the Grassmannian

• Combinatorics of Correlated Equilibria

• Computational Complexity of Polynomial Subalgebras

• Computing Implicitizations of Multi-Graded Polynomial Maps

• Connection Matrices in Macaulay2

• D-Algebraic Functions

• Decomposing Tensor Spaces via Path Signatures

• Differential Equations for Gaussian Statistical Models with Rational Maximum Likelihood Estimator

• Dihedral sign patterns in \mathcal{M}_{0,n}

• Discrete Signature Varieties

• Elliptic Curves in Game Theory

• Four-Dimensional Lie Algebras Revisited

• The Gaussian Moduli

• Gaussian Process Priors for Systems of Linear Partial Differential Equations with Constant Coefficients

• Graph Curve Matroids

• The Hessian Discriminant

• Hilbert Functions of Chopped Ideals

• Hirota Varieties and Rational Nodal Curves

• Identifiability in Continuous Lyapunov Models

• Identifiability of Homoscedastic Linear Structural Equation Models using Algebraic Matroids

• Invitation to Nonlinear Algebra

• Landau Discriminants

• Likelihood Geometry of Reflexive Polytopes

• Lines on p-adic and real cubic surfaces

• Logarithmic Discriminants of Hyperplane Arrangements

• Macaulay2 bootcamp

• Making waves with Macaulay 2

• Marginal Independence Models

• Matroid Stratification of ML Degrees of Independence Models

• Maximal Mumford Curves from Planar Graphs

• Moment Varieties for Mixtures of Products

• Multiplicity structure of the arc space of a fat point

• No eleventh conditional Ingleton inequality

• The Pfaffian Structure of CFN Phylogenetic Networks

• Positive Polytopes with Few Facets in the Grassmannian

• Primary Decomposition with Differential Operators

• Primary Ideals and Their Differential Equations

• Proudfoot-Speyer degenerations of scattering equations

• Quatroids and Rational Plane Cubics

• Self-dual matroids from canonical curves

• Spinor-Helicity Varieties

• Staged tree models with toric structure

• Third-Order Moment Varieties of Linear Non-Gaussian Graphical Models

• Toric Degenerations of Cubic Surfaces

• Totally positive skew-symmetric matrices

• Two Lives of the Grassmannian

• A vector bundle approach to Nash equilibria

• Vector Spaces of Generalized Euler Integrals

MAGMA

• Computation Day

• Computing Zero-Dimensional Tropical Varieties via Projections

• Crossing the transcendental divide: from translation surfaces to algebraic curves

• Lines on p-adic and real cubic surfaces

• An Octanomial Model for Cubic Surfaces

• Sampling from a p-adic manifold

• Self-dual matroids from canonical curves

• Space Sextic Curves and Their Tritangents

Maple

• Arithmetic of D-Algebraic Functions

• D-Algebraic Functions

• Invitation to Nonlinear Algebra

• KP Solitons from Tropical Limits

• Moment Varieties for Mixtures of Products

• Operations for D-Algebraic Functions

• Self-dual matroids from canonical curves

• Squared Linear Models

Mathematica

• Average degree of the essential variety

• Combinatorics of Correlated Equilibria

• Computation Day

• Elliptic Curves in Game Theory

• Farey polynomials

• From Feynman Diagrams to the Amplituhedron: A Gentle Review

• Gaussian Process Priors for Systems of Linear Partial Differential Equations with Constant Coefficients

• Identifiability in Continuous Lyapunov Models

• Likelihood Geometry of Reflexive Polytopes

• Matroid Stratification of ML Degrees of Independence Models

• No eleventh conditional Ingleton inequality

• Plane Sextic Curves

• Positive del Pezzo Geometry

• Positive Polytopes with Few Facets in the Grassmannian

• Selfadhesivity in Gaussian conditional independence structures

• Sign patterns of principal minors of real symmetric matrices

• Space Sextic Curves and Their Tritangents

• Staged tree models with toric structure

• Twisted Cohomology and Likelihood Ideals

MATLAB

• Computation Day

• Crossing the transcendental divide: from translation surfaces to algebraic curves

• Maximal Mumford Curves from Planar Graphs

• A median filter scheme for mean curvature flow

nbc_minisat_all

• Selfadhesivity in Gaussian conditional independence structures

• Sign patterns of principal minors of real symmetric matrices

NumPy. The code was executed within a Jupyter Notebook environment

• One-dimensional Discrete Models of Maximum Likelihood Degree One

OSCAR

• Algebraic Geometry of Quantum Graphical Models

• Euler Discriminant of Complements of Hyperplanes

• Euler Stratifications of Hypersurface Families

• Fiber Convex Bodies

• The Gaussian entropy map in valued fields

• Geometry of Polynomial Neural Networks

• Gibbs Manifolds

• Intersection Bodies of Polytopes

• Introduction to Toric Geometry

• Meet and greet with OSCAR

• Mukai lifting of self-dual points in ℙ⁶

• Orders and Polytropes : Matrix Algebras from Valuations

• Positive Polytopes with Few Facets in the Grassmannian

• Principal Landau Determinants

• Proudfoot-Speyer degenerations of scattering equations

• Recovery of Plane Curves from Branch Points

• Santaló Geometry of Convex Polytopes

• Self-dual matroids from canonical curves

• Some thoughts and experiments on Bergman’s compact amalgamation problem

• Squared Linear Models

• Toric Amplitudes and Universal Adjoints

• Tropical Implicitization

Oscar.jl

• The SagbiHomotopy.jl package for solving polynomial systems

Parallel

• Self-dual matroids from canonical curves

Pari/GP

• Elliptic Curves in Game Theory

Perl

• Selfadhesivity in Gaussian conditional independence structures

• Sign patterns of principal minors of real symmetric matrices

Polymake

• Computation Day

• The Gaussian entropy map in valued fields

• Invitation to Nonlinear Algebra

• Maximal Mumford Curves from Planar Graphs

• Meet and greet with OSCAR

• Self-dual matroids from canonical curves

Python

• Combinatorics of m=1 Grasstopes

• D-Module Techniques for Solving Differential Equations in the Context of Feynman Integrals

• Discrete Signature Varieties

• Gaussian Process Priors for Systems of Linear Partial Differential Equations with Constant Coefficients

• A median filter scheme for mean curvature flow

• Self-dual matroids from canonical curves

PyTorch

• Gaussian Process Priors for Systems of Linear Partial Differential Equations with Constant Coefficients

Rust

• A median filter scheme for mean curvature flow

SagbiHomotopy

• The SagbiHomotopy.jl package for solving polynomial systems

SageMath

• The Best Ways to Slice a Polytope

• Classifying one-dimensional discrete models with maximum likelihood degree one

• Combinatorics of Correlated Equilibria

• Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming

• Computation Day

• Counting Cubic Hypersurfaces

• Crossing the transcendental divide: from translation surfaces to algebraic curves

• D-Module Techniques for Solving Differential Equations in the Context of Feynman Integrals

• Decomposing Tensor Spaces via Path Signatures

• Fiber Convex Bodies

• The Gaussian Moduli

• Geometry of Polynomial Neural Networks

• Identifiability of Homoscedastic Linear Structural Equation Models using Algebraic Matroids

• Intersection Bodies of Polytopes

• Jordan Algebras of Symmetric Matrices

• Logarithmic Voronoi Cells

• Minimality of tensors of fixed multilinear rank

• Sampling from a p-adic manifold

• Self-dual matroids from canonical curves

• Sign patterns of principal minors of real symmetric matrices

• An SOS counterexample to an inequality of symmetric functions

• Tropical invariants for binary forms and reduction types of Picard curves

SCIP

• Sign patterns of principal minors of real symmetric matrices

• Some thoughts and experiments on Bergman’s compact amalgamation problem

sharpSAT-TD

• Sign patterns of principal minors of real symmetric matrices

Singular

• Binding Polynomials of Target Molecules

• Computing Zero-Dimensional Tropical Varieties via Projections

• Meet and greet with OSCAR

• Self-dual matroids from canonical curves

• Toric Degenerations of Cubic Surfaces

• Tropical Bases

• Tropical Quartics and Canonical Embeddings for Tropical Curves of Genus 3

• Vector Spaces of Generalized Euler Integrals

SoPlex

• Selfadhesivity in Gaussian conditional independence structures

The computations were performed using Python

• One-dimensional Discrete Models of Maximum Likelihood Degree One

with the libraries Cython

• One-dimensional Discrete Models of Maximum Likelihood Degree One