Preprints

• Algebraic Statistics in OSCAR

with Tobias Boege, Antony Della Vecchia and Benjamin Hollering

arXiv:2601.15807 (2026)   Documentation  

• Semialgebraic Hypothesis Testing with Incomplete U-Statistics:  Practical Issues

with David Barnhill, Elizabeth Gross, Max Hill, Bryson Kagy, John A. Rhodes and Joy Z. Zhang

arXiv:2507.13531 (2025)   Code  

• Cumulant tensors in Partitioned Independent Component Analysis

with Monroe Stephenson

Submitted, arXiv:2402.10089 (2024) 

Publications

• Making mathematical online resources FAIR: at the example of small phylogenetic trees

with Tabea Bacher, Christiane Görgen and Marius Neubert

To appear in Notices of the AMS, arXiv:2501.10823 (2025)   Website  

• Causal discovery for linear non-Gaussian models with disjoint cycles

with Mathias Droton, Niko Nikov, Elina Robeva and Y. Samuel Wang 

Proceedings of Machine Learning Research, (2026)   Code  

• Identifiability of level-1 species network from gene tree quartet

with Elizabeth S. Allman, Hector Baños and Jhon A. Rhodes

Bulletin of Mathematical Biology (2024)

• Computing algebraic degrees of phylogenetic varieties

with Luis D. Garcia Puente and Elima Shehu

Algebraic Statistics (2024)   Code  

• Algebraic optimization of sequential decision problems

with Mareike Dressler, Guido Montúfar, Johannes Müller and Kemal Rose

Journal of Symbolic Computation (2024)

• Identifiability in robust estimation of tree structured models

with Marta Casanellas and Piotr Zwiernik

Bernoulli (2024)

• Designing weights for quartet-based methods when data is heterogeneous across lineages

with Marta Casanellas, Jesús Fernández-Sánchez and Marc Sabaté-Vidales

Bulletin of Mathematical Biology (2023)   Code  

• SAQ: semi-algebraic quartet reconstruction

with Marta Casanellas and Jesús Fernandez-Sanchez

IEEE/ACM Transactions on Computational Biology and Bioinformatics  (2021)   Code  

• Distance to the stochastic part of phylogenetic varieties

with Marta Casanellas and Jesús Fernández-Sánchez

Journal of Symbolic Computation (2021)

• Computing the distance to the stochastic part of a phylogenetic variety

in Extended Abstracts GEOMVAP 2019, Trends in Mathematics Springer-Birkhäuser (2021)

• The inertia of the symmetric approximation of low rank matrices

with Marta Casanellas and Jesús Fernández-Sánchez

Linear and Multilinear Algebra (2018)

• Stochasticity conditions for the general Markov model

Reports@SCM (2016)