Area(s) of Expertise

Commutative Algebra and Algebraic Geometry.

My main research interests lie in commutative algebra and algebraic geometry. I like topics related to blow-up algebras, local cohomology, multiplicities, differential operators, Hilbert schemes, symbolic powers, syzygies, regularity and edge ideals.

Publications

• Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras , Journal für die reine und angewandte Mathematik (Crelles Journal) (2025)
• Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras , Journal für die reine und angewandte Mathematik (Crelle's journal) (2025)
• The fiber-full scheme , Journal of Pure and Applied Algebra (2025)
• Uniformity in Nonreduced Rings via Noetherian Operators , International Mathematics Research Notices (2025)
• Effective generic freeness and applications to local cohomology , Journal of the London Mathematical Society (2024)
• Log-concavity of polynomials arising from equivariant cohomology , arXiv preprint arXiv:2411.17572 (2024)
• Multidegrees, families, and integral dependence , arXiv preprint arXiv:2405.07000 (2024)
• Multigraded algebras and multigraded linear series , Journal of the London Mathematical Society (2024)
• Polar Multiplicities and Integral Dependence , International Mathematics Research Notices (2024)
• Relative mixed multiplicities and mixed Buchsbaum-Rim multiplicities , arXiv preprint arXiv:2311.15105 (2024)

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