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:

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

  • Numerical algebraic geometry: solving polynomial systems

  • Tensors: algebra, geometry and applications

  • Combinatorial rigidity theory and geometric tensegrity

  • 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

  • Gröbner 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 KU Leuven has been supported by the following grants:

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

  • BOF Postdoctoral Fellowship (UGent) awarded to Job Rock (2021-2024)

  • BOF PhD Fellowship (UGent) awarded to Harshit J Motwani (2021-2025)

  • SofinaBoël Scientific Prize Fellowship awarded to Harshit J Motwani to visit the computer science department at the HKUST (2022-2023)

  • FWO Junior Postdoctoral Fellowship awarded to Daniele Taufer (2022-2025)

  • FWO Junior Postdoctoral Fellowship awarded to Tim Seynnaeve (2022-2025)

  • FWO PhD Fellowship awarded to Francesca Zaffalon (2022-2026)