By Year

2025

• Discrete Signature Varieties

• Connection Matrices in Macaulay2

• Copositive geometry of Feynman integrals

• Toric Amplitudes and Universal Adjoints

• Positive Polytopes with Few Facets in the Grassmannian

• A vector bundle approach to Nash equilibria

• Likelihood Geometry of the Squared Grassmannian

• Computational Complexity of Polynomial Subalgebras

2024

• Elliptic Curves in Game Theory

• Totally positive skew-symmetric matrices

• Euler Discriminant of Complements of Hyperplanes

• Arrangements and Likelihood

• Logarithmic Discriminants of Hyperplane Arrangements

• From Feynman Diagrams to the Amplituhedron: A Gentle Review

• Bivariate Exponential Integrals and Edge-Bicolored Graphs

• Proudfoot-Speyer degenerations of scattering equations

• Hyperplane Arrangements in the Grassmannian

• A median filter scheme for mean curvature flow

• Euler Stratifications of Hypersurface Families

• Sign patterns of principal minors of real symmetric matrices

• The algebraic degree of the Wasserstein distance

• Spinor-Helicity Varieties

• Mukai lifting of self-dual points in ℙ⁶

• Two Lives of the Grassmannian

• Maximal Mumford Curves from Planar Graphs

• Santaló Geometry of Convex Polytopes

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

• Geometry of Polynomial Neural Networks

2023

• Matroid Stratification of ML Degrees of Independence Models

• The Pfaffian Structure of CFN Phylogenetic Networks

• Likelihood Geometry of Reflexive Polytopes

• Principal Landau Determinants

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

• Algebraic Sparse Factor Analysis

• Computing Implicitizations of Multi-Graded Polynomial Maps

• Graph Curve Matroids

• CC degree of the Grassmannian

• Quatroids and Rational Plane Cubics

• Decomposing Tensor Spaces via Path Signatures

• Algebraic Geometry of Quantum Graphical Models

• Identifiability of Homoscedastic Linear Structural Equation Models using Algebraic Matroids

• Combinatorics of m=1 Grasstopes

• Hilbert Functions of Chopped Ideals

• Solving Equations Using Khovanskii Bases

• Positive del Pezzo Geometry

• Tropical Implicitization

• The Best Ways to Slice a Polytope

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

• Moment Varieties for Mixtures of Products

• Arithmetic of D-Algebraic Functions

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

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

• Twisted Cohomology and Likelihood Ideals

• Average degree of the essential variety

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

2022

• Macaulay2 bootcamp

• Self-dual matroids from canonical curves

• Gibbs Manifolds

• D-Algebraic Functions

• Real Circles Tangent to 3 Conics

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

• Combinatorics of Correlated Equilibria

• Identifiability in Continuous Lyapunov Models

• Four-Dimensional Lie Algebras Revisited

• Vector Spaces of Generalized Euler Integrals

• Sampling from a p-adic manifold

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

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

• Recovery of Plane Curves from Branch Points

• Selfadhesivity in Gaussian conditional independence structures

• Farey polynomials

• Operations for D-Algebraic Functions

• Bayesian Integrals on Toric Varieties

• The Geometries of Jordan nets and Jordan webs

• No eleventh conditional Ingleton inequality

• Lines on p-adic and real cubic surfaces

• Introduction to Toric Geometry

• Hirota Varieties and Rational Nodal Curves

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

• Fiber Convex Bodies

• The Gaussian entropy map in valued fields

• Counting Cubic Hypersurfaces

2021

• Marginal Independence Models

• Making waves with Macaulay 2

• An algorithm for the identifiability of rank-3 tensors

• Multiplicity structure of the arc space of a fat point

• Intersection Bodies of Polytopes

• Landau Discriminants

• Adjoints and Canonical Forms of Polypols

• Orders and Polytropes : Matrix Algebras from Valuations

• Likelihood degenerations

• Staged tree models with toric structure

• Solving two-parameter eigenvalue problems using an alternating method

• Enumerating Chambers of Hyperplane Arrangements with Symmetry

• KP Solitons from Tropical Limits

• Meet and greet with OSCAR

• Primary Decomposition with Differential Operators

2020

• Cox Homotopies

• Quintic Spectrahedra

• Minimality of tensors of fixed multilinear rank

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

• Logarithmic Voronoi Cells

• An SOS counterexample to an inequality of symmetric functions

• Jordan Algebras of Symmetric Matrices

• Tangent Quadrics in Real 3-Space

• Generation of Matroids

• The Gaussian Moduli

• Primary Ideals and Their Differential Equations

2019

• Toric Degenerations of Cubic Surfaces

• The Hessian Discriminant

• An Octanomial Model for Cubic Surfaces

• Computing Zero-Dimensional Tropical Varieties via Projections

• Invitation to Nonlinear Algebra

2018

• Tropical Bases

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

2017

• Space Sextic Curves and Their Tritangents

• Binding Polynomials of Target Molecules

• Plane Sextic Curves

• Computation Day