Office Office 17 (C1/030)
E-mail rhoms@crm.cat
Position Postdoctoral Researcher
Funding Beatriu de Pinós
Research interests Algebraic Geometry
Group Computational & Mathematical Biology
Homs Pons, Roser
Biosketch

I am a Beatriu de Pinós postdoctoral fellow at Centre de Recerca Matemàtica in the group of Marta Casanellas using algebraic methods to address questions in Phylogenetics.

Previously I was a postdoc at the Mathematical Statistics group led by Mathias Drton at TU München and at Max-Planck-Institut in Leipzig in the Nonlinear Algebra research group of Bernd Sturmfels. Before that, I spent some months at TU Berlin in the framework of the Thematic Einstein Semester on Algebraic Geometry.

I obtained my PhD in 2019 at Universitat de Barcelona on approximating local rings by Gorenstein rings under the supervision of Joan Elias.

My main research interests lie in the realm of Algebraic Statistics and its applications to Life Sciences, using tools from Commutative Algebra, Algebraic Geometry and Computational Algebra.

Selected publications

Identifiability in continuous Lyapunov models, with Philipp Dettling, Carlos Améndola, Mathias Drton, Niels Richard Hansen (submitted), arXiv:2209.03835.

Third-order moment varieties of linear non-Gaussian graphical models, with Carlos Amendola, Mathias Drton, Alexandros Grosdos and Elina Robeva (submitted), arXiv.

Computing Maximum Likelihood Estimates for Gaussian Graphical Models with Macaulay2, with Carlos Améndola, Luis David García-Puente, Olga Kuznetsova and Harshit J. Motwani, to appear in JSAG, arXiv.

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.

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

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

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

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

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).