CORDIS Project
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This research connects algebraic geometry, commutative algebra, and combinatorics through the study of Hilbert schemes and Gröbner bases. It aims to construct new moduli spaces that enhance understanding of these mathematical concepts and their interrelations.
The aim of the present research project is to establish new connections between algebraic geometry, commutative algebra and combinatorics.
The geometric objects of study are Hilbert schemes.
These schemes are highly relevant in algebraic geometry, as they form the basis for the construction of numerous moduli spaces.
The algebraic objects of study are Gröbner bases.
They are the core of great parts of constructive methods in commutative algebra.
The combinatorial objects of study are standard se…
UNIVERSITAET BIELEFELD
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