Publications & Preprints
2026
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A New Data Structure for Monomial Ideals with Applications to Signature Gröbner Bases
joint with Pierre Lairez, Théo Ternier
Preprint, arxiv
2025
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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
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Computing Generic Fibers of Polynomial Ideals Using FGLM and Hensel Lifting
joint with Jérémy Berthomieu
ISSAC ‘24 proceedings, arxiv
2023
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A Direttissimo Algorithm for Equidimensional Decomposition
joint with Christian Eder, Pierre Lairez, Mohab Safey El Din
ISSAC ‘23 proceedings, arxiv
2022
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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
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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
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Polyhedral Elimination Techniques, Pascaline Seminar, ENS Lyon
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Mixed Fiber Polytopes (joint lecture with Yulia Mukhina), SLMath Summer School: New Perspectives on Discriminants and their Applications, MPI Leipzig
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Polyhedral Elimination Techniques, Number Theorey and Algebraic Geometry Seminar, KU Leuven
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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