Preprints

• Arrangements and Likelihood (2024). Joint with Thomas Kahle, Lukas Kühne, Leonie Mühlherr and Bernd Sturmfels. arXiv:2411.09508.
• Bivariate Exponential Integrals and Edge-Bicolored Graphs (2024). Joint with Michael Borinsky and Chiara Meroni. arXiv:2409.18607.
• Euler Stratifications of Hypersurface Families (2024). Joint with Simon Telen. arXiv:2407.18176.
  • This paper is accompanied by the Julia software package EulerStratifications.jl.
• Pathological Regularization Regimes in Classification Tasks (2024). Joint with Paul Larsen. arXiv:2406.14731.
• Algebraic Geometry of Quantum Graphical Models (2023). Joint with Eliana Duarte and Dmitrii Pavlov. arXiv:2308.11538. Submitted to Advances in Applied Mathematics.

Published

• Geometry of Polynomial Neural Networks (2024). Joint with Kaie Kubjas and Jiayi Li. arXiv:2402.00949. To appear in Algebraic Statistics.
• Toric Fiber Products in Geometric Modeling (2023). Joint with Eliana Duarte and Benjamin Hollering. arXiv:2303.08754. Proceedings of 6th International Conference on Geometric Science of Information GSI’23, Springer, 2023.

In Preparation

• Equations defining the Likelihood Correspondence, with Thomas Kahle, Hal Schenck and Bernd Sturmfels
• Monotonicity of the ML-Degree for Toric Models, with Carlos Améndola and Janike Oldekop
• Computing Tropicalizations of Engineered Complete Intersections, with Alexander Esterov and Simon Telen