Publications & Preprints

2026

• A New Data Structure for Monomial Ideals with Applications to Signature Gröbner Bases
  joint with Pierre Lairez, Théo Ternier
  Preprint, arxiv

2025

• Faster Computation of Whitney Stratifications and Their Minimization
  joint with Martin Helmer
  Journal of Algebra, arxiv

• Wronski Pairs of Honeycomb Curves
  joint with Laura Casabella, Michael Joswig
  Journal of Symbolic Computation, MEGA 2024 Special Edition, arxiv

• A Syzygial Method For Equidimensional Decomposition
  Journal of Symbolic Computation, arxiv

• On the Computation of Newton Polytopes of Eliminants
  joint with Yulia Mukhina
  ISSAC ‘25 proceedings, arxiv

• Gröbner Bases For Polynomial Ideals and Applications
  joint with Christian Eder, Mohab Safey El Din
  The Computer Algebra System OSCAR - Algorithms and Examples, book link

2024

• Computing Generic Fibers of Polynomial Ideals Using FGLM and Hensel Lifting
  joint with Jérémy Berthomieu
  ISSAC ‘24 proceedings, arxiv

2023

• A Direttissimo Algorithm for Equidimensional Decomposition
  joint with Christian Eder, Pierre Lairez, Mohab Safey El Din
  ISSAC ‘23 proceedings, arxiv

2022

• A Signature-Based Algorithm for Computing the Nondegenerate Locus of a Polynomial System
  joint with Christian Eder, Pierre Lairez, Mohab Safey El Din
  Journal of Symbolic Computation, arxiv

Other Scientific Works

• Gröbner Basis Algorithms in Service of Algebraic Set Decomposition
  2024, PhD Thesis, PDF

• Computing Periods of Projective Hypersurfaces Using Picard-Lefschetz Theory
  2020, supervised by Emre Sertöz and Bernd Sturmfels, PDF

Invited Talks

2026

• Faster Computation of Whitney Stratifications and Their Minimization, IBOF Study Day, KU Leuven

2025

• Polyhedral Elimination Techniques, Pascaline Seminar, ENS Lyon

• Mixed Fiber Polytopes (joint lecture with Yulia Mukhina), SLMath Summer School: New Perspectives on Discriminants and their Applications, MPI Leipzig

• Polyhedral Elimination Techniques, Number Theorey and Algebraic Geometry Seminar, KU Leuven

• Linearization in Polynomial System Solving: New Algorithms and Perspectives, Seminar of ECO Team, Université de Montpellier

2024

• Gröbner Basis Algorithms in Service of Algebraic Set Decomposition, DRN + EFI Conference ‘24

2023

• Direttissimo Equidimensional Decomposition, SIAM AG ‘23