Research articles

Algebraic robustness verification of neural networks
with Hao Duan and Guido Montúfar
Submitted, 2026. [code]

Decomposing determinantal varieties from statistics via matroid theory
with Per Alexandersson, Emiliano Liwski, Fatemeh Mohammadi, and Pardis Semnani
Submitted, 2026.

Constraining the outputs of ReLU neural networks
with Guido Montúfar
To appear in Theoretical Foundations of Deep Learning, 2025. [code]

Decomposing conditional independence ideals with hidden variables
with Kristen Dawson, Hannah Friedman, Fatemeh Mohammadi, Pardis Semnani, and Teresa Yu
Published in Advances in Applied Mathematics, 174 (2026), paper no. 103003. [code]

New directions in algebraic statistics: three challenges from 2023
with Miles Bakenhus, Mark Curiel, Sameer K. Deshpande, Elizabeth Gross, Yuqi Gu, Max Hill, Joseph Johnson, Bryson Kagy, Vishesh Karwa, Jiayi Li, Hanbaek Lyu, Sonja Petrović, Jose Israel Rodriguez
Published in Algebraic Statistics, 15 (2024), no. 2, 357–382.

Mixtures of discrete decomposable graphical models
with Jane Ivy Coons and Nils Sturma
Published in Algebraic Statistics, 15 (2024), no. 2, 269–293.

Maximum information divergence from linear and toric models
with Serkan Hoşten
Published in Information Geometry, 8 (2025), 159–197. [code]

Moment varieties for mixtures of products
with Joe Kileel and Bernd Sturmfels
Published in Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC 2023), ACM, New York, 2023, 53–60. [code]

Decomposable context-specific models
with Eliana Duarte and Julian Vill
Published in SIAM Journal on Applied Algebra and Geometry 8 (2024), no. 2, 363-393.

Logarithmic Voronoi cells for Gaussian models
with Serkan Hoşten
Published in Journal of Symbolic Computation 122 (2024), paper no. 102256. [code]

Logarithmic Voronoi polytopes for discrete linear models
Published in Algebraic Statistics 15 (2024), no. 1, 1–13.

Logarithmic Voronoi cells
with Alexander Heaton
Published in Algebraic Statistics 12 (2021), no. 1, 75-95. [code]

Computing a logarithmic Voronoi cell
with Alexander Heaton and Sascha Timme
Published on HomotopyContinuation.jl, 2019.

Recovering conductances of resistor networks in a punctured disk
with Brian Burks, Sunita Chepuri, and Patricia Commins
Preprint, 2018.

Deformations of the Weyl character formula for SO(2n+1, C) via ice models
with Patricia Commins, Alexandra Embry, Sylvia Frank, Yutong Li, and Alexander Vetter
Preprint, 2018.

Theses

From Voronoi cells to algebraic statistics
advised by Bernd Sturmfels and Serkan Hoşten
PhD thesis, 2023.

Combinatorial Nullstellensatz: various proofs, extensions and applications
advised by Karen Collins
Undergraduate Honors thesis, 2019.