**Publications:**

**Publications:**

All my papers are listed on ORCID and all recent ones are available on arXiv. Here are the links to my Google Scholar and my MathSciNet profiles.

**Current Research Interests:**

**Current Research Interests:**

### My research lies in Applied, Combinatorial and Computational Algebraic Geometry. In particular, I am interested in developing mathematical tools to study problems in statistics and probability theory, theoretical computer science, industrial engineering and quantum physics. On the theoretical side, I work on toric varieties, combinatorial divisor theory, determinantal varieties, tensors and their decompositions, algebraic statitics (conditional probabilities, graphical models, causality), matroids, and system reliability theory.

Toric degenerations of varieties using tools from representation theory, tropical geometry and cluster algebra

Algebraic and combinatorial divisor theory for graphs and matroids

Algebraic statistics with a focus on Graphical models and maximal likelihood degree of varieties

Sandpile models (avalanche dynamics)

Hyperplane arrangements and Orlik-Terao ideals

GrĂ¶bner bases and its applications

Deformation, minimal free resolutions, and cellular resolution of ideals

Determinantal ideals and their applications in conditional independence statements

System reliability theory and percolation theory

Combinatorial persistent homology and computational topology

**PI for the Research Grants and Fellowships (since 2018):**

My research has been supported by the following grants:

FWO Odysseus Group I Project Grant (2021-2026)

FWO Research Project Grant (2021-2025)

Ghent University BOF Research Grant (2020-2024)

EPSRC Early Career Fellowship (2018-2020)

London Mathematical Society Scheme 7 Grants (2018-2019)

London Mathematical Society Scheme 1 Grants (2018-2019)

**Promoter for the ****Research Fellowships (since 2021):**

My team's research at UGent has been supported by the following grants:

FWO Junior Postdoctoral Fellowship awarded to Yairon Cid-Ruiz (2021-2024)