See my math profile at MathSciNet, Google Scholar, and arXiv.
See my math profile at MathSciNet, Google Scholar, and arXiv.
Recent papers/manuscripts
Equations of Tree Tensor Network Varieties, arXiv:2608.19071, with Niharika C. Paul, Otto T. P. Schmidt, and Dmitry Skurt.
Euler Stratification for P1 x P1 x Pn, arXiv:2603.19184, with Vadym Kurylenko, Elke Neuhaus, and Nikolas Rieke.
Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties, arXiv:2512.06939, with Viktoriia Borovik, Hannah Friedman, and Max Pfeffer.
An Early History of Toric Ideals, "Combinatorial, Computational, and Applied Algebraic Geometry: A Tribute to Bernd Sturmfels", Proceedings in Symposia in Pure Mathematics, Volume 111 (2025), 47-62, arXiv:2505.18443.
Grassmann and Flag Varieties in Linear Algebra, Optimization, and Statistics: An Algebraic Perspective, Advances in Applied Mathematics 180 (2026) 103130, arXiv:2505.15969, with Hannah Friedman.
Uniqueness of Size-2 Positive Semidefinite Matrix Factorizations, to appear in Fields Communications Volume "Geometric Constraints and Rigidity: Problems, Progress, Connections", arXiv:2410.18891, with Kristen Dawson, Kaie Kubjas, and Lilja Metsalampi.
Tropical Toric Maximum Likelihood Estimation, SIAM Journal on Applied Algebra and Geometry 9 (2025), 525-553, arXiv:2404.10567 with Emma Boniface and Karel Devriendt.
Degrees of Wasserstein Distance to Small Toric Models, Algebraic Statistics 15 (2024), 249-267, arXiv:2402.09626 with Gregory DePaul, Nilava Metya, and Ikenna Nometa.
Matroid Stratification of ML Degrees of Independence Models, Algebraic Statistics 15 (2024), 199-223, arXiv:2312.10010 with Oliver Clarke, Nataliia Kushnerchuk, and Janike Oldekop.
Maximum Information Divergence from Linear and Toric Models, Information Geometry 8 (2025), 159-197, arXiv:2308.15598 with Yulia Alexandr.
Complex Critical Points of Deep Linear Neural Networks, arXiv:2301.12651 with Ayush Bharadwaj.
Logarithmic Voronoi Cells for Gaussian Models, J. Symbolic Comput. 122 (2024), Paper No 102256 , 18 pp, arXiv:2203.01487 with Yulia Alexandr.
The Degree of the Central Curve in Semidefinite, Linear, and Quadratic Programming, Le Matematiche 76 (2021), 483-499, arXiv:2011.15115 with Isabelle Shankar and Angelica Torres
Symmetry Adapted Gram Spectrahedra, SIAM Journal on Applied Algebra and Geometry 5 (2021), 140-164, arXiv:2004.09641
with Alexander Heaton and Isabelle Shankar
Average Behavior of Minimal Free Resolutions of Monomial Ideals, Proc. Amer. Math. Soc. 147 (2019), no.8, 3239-3257,
arXiv:1802.06537 with Jesus De Loera, Robert Krone, and Lily Silverstein
Lonely Runner Polyhedra, Integers 19 (2019), Paper No. A29, 13 pp., arXiv:1606.01783
with Matthias Beck and Matthias Schymura
Maximum Likelihood Estimation of the Latent Class Model through Model Boundary Decomposition. J. Algebr. Stat. 10 (2019),
no. 1, 51–84, arXiv:1710.01696 with Elizabeth Allman, Hector Baños, Robin Evans, Kaie Kubjas, Daniel Lemke, John Rhodes, and
The Maximum Likelihood Degree of Toric Varieties. J. Symbolic Comput. 92 (2019), 222–242, arXiv:1703:02251
with Carlos Améndola, Nathan Bliss, Isaac Burke, Courtney Gibbons, Martin Helmer, Evan Nash, Jose Rodriguez, and Daniel
My Research Tools
Databases and Consulting Tools
Computing
Commutative Algebra / Algebraic Geometry : Macaulay2 Singular 4ti2
Numerical Algebraic Geometry : HomotopyContinuation.jl Bertini
Typesetting