Publications and preprints

A novel algebraic approach to time-reversible evolutionary models, with Marta Casanellas and Angélica Torres, SIAM Journal on Applied Mathematics 84 (4): 10.1137/23M1605302 (2024), arXiv:2309.02276.

Deformations of local Artin rings via Hilbert-Burch matrices, with Anna-Lena Winz, Deformation of Artinian Algebras and Jordan Type, Contemporary Mathematics 805: 169-187 (2024), Amer. Math. Soc., Providence, RI, arXiv:2309.06871.

Identifiability in continuous Lyapunov models, with Philipp Dettling, Carlos Améndola, Mathias Drton, Niels Richard Hansen, SIMAX 44(4): 10.1137 (2023), arXiv:2209.03835.

Third-order moment varieties of linear non-Gaussian graphical models, with Carlos Améndola, Mathias Drton, Alexandros Grosdos and Elina Robeva, Inf Inference 12(3): 1405–1436 (2023), arXiv:2112.10875.

Computing Maximum Likelihood Estimates for Gaussian Graphical Models with Macaulay2, with Carlos Améndola, Luis David García-Puente, Olga Kuznetsova and Harshit J. Motwani, Journal of Software for Algebra and Geometry 12: 1-10 (2022), arXiv:2012.11572.

Bounds on complexity of matrix multiplication away from CW tensors, with Joachim Jelisiejew, Mateusz Michałek and Tim Seynnaeve, J. Pure Appl. Algebra 226(12): 107142 (2022), arXiv:2103.12598.

Inverting catalecticants of ternary quartics, with Laura Brustenga i Moncusí and Elisa Cazzador, Le Matematiche 56(2): 517-533 (2021), arXiv:2105.10555.

Canonical Hilbert-Burch matrices for power series, with Anna-Lena Winz, J. Algebra 583: 1-24 (2021), arXiv:2004.04776.

Primary ideals and their differential equations, with Yairon Cid-Ruiz and Bernd Sturmfels, Found Comput Math 21(5): 1363-1399 (2021), arXiv:2001.04700.

Computing minimal Gorenstein covers, with Juan Elias and Bernard Mourrain, J. Pure Appl. Algebra 224(7): 106280 (2020), arXiv:1901.04165.

On low Gorenstein colength, with Juan Elias, J. Algebra 513: 368-387 (2018).

On the analytic type of Artin algebras, with Juan Elias, Comm. Algebra 44(6): 2277-2304 (2016).

If you want to know more about primary ideals and their differential equations, check this video recording of my talk at the NASO seminar.