His primary scientific interests are in Pure mathematics, Discrete mathematics, Combinatorics, Monomial and Hilbert series and Hilbert polynomial. His Pure mathematics research is multidisciplinary, incorporating elements of Secant variety, Finite set and Algebra. His Discrete mathematics study integrates concerns from other disciplines, such as Hadamard's inequality, Polynomial, Position and Type.
His Polynomial research integrates issues from Coprime integers, Waring's problem, Rank and Of the form. His study in the field of Monomial basis also crosses realms of Homogeneous. His Monomial research includes elements of Ideal, Primary decomposition, Algebraic variety, Hyperplane and Star.
Combinatorics, Pure mathematics, Discrete mathematics, Hilbert series and Hilbert polynomial and Algebra are his primary areas of study. His Combinatorics study combines topics in areas such as Type and Order. Anthony V. Geramita has included themes like Degree and Ideal in his Pure mathematics study.
The Discrete mathematics study which covers Polynomial that intersects with Variety. Anthony V. Geramita has researched Codimension in several fields, including Hypersurface and Hyperplane. Anthony V. Geramita combines subjects such as Waring's problem, Sums of powers and Coprime integers with his study of Monomial.
His primary areas of study are Combinatorics, Discrete mathematics, Symmetric group, Polynomial ring and Conjecture. The concepts of his Combinatorics study are interwoven with issues in Transformation matrix and Secant variety. His Discrete mathematics research includes themes of Partition, Secant line and Plane curve.
His study with Symmetric group involves better knowledge in Pure mathematics. In his research, Anthony V. Geramita undertakes multidisciplinary study on Pure mathematics and Hilbert series and Hilbert polynomial. In his work, Monomial is strongly intertwined with Geometry and topology, which is a subfield of Degree.
Anthony V. Geramita focuses on Discrete mathematics, Secant variety, Conjecture, Lambda and Secant line. His Discrete mathematics research incorporates themes from A* search algorithm and Finite set. His Conjecture study deals with Rank intersecting with Combinatorics.
His work on Degree and Waring's problem as part of general Combinatorics research is often related to Homogeneous form, thus linking different fields of science. His work in Degree addresses subjects such as Monomial, which are connected to disciplines such as Numerical analysis. Anthony V. Geramita performs integrative Calculus and Hilbert series and Hilbert polynomial research in his work.
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Orthogonal Designs: Quadratic Forms and Hadamard Matrices
A. V. Geramita;Jennifer Seberry.
(1979)
The Hilbert Function of a Reduced K‐Algebra
A. V. Geramita;P. Maroscia;L. G. Roberts.
Journal of The London Mathematical Society-second Series (1983)
Gorenstein algebras and the Cayley-Bacharach theorem
E. D. Davis;A. V. Geramita;F. Orecchia.
Proceedings of the American Mathematical Society (1985)
Ranks of tensors, secant varieties of Segre varieties and fat points
M.V. Catalisano;A.V. Geramita;A. Gimigliano.
Linear Algebra and its Applications (2002)
Cayley-Bacharach schemes and their canonical modules
Anthony V. Geramita;Martin Kreuzer;Lorenzo Robbiano.
Transactions of the American Mathematical Society (1993)
Monomial ideals and points in projective space
A.V. Geramita;D. Gregory;L. Roberts.
Journal of Pure and Applied Algebra (1986)
The solution to the Waring problem for monomials and the sum of coprime monomials
Enrico Carlini;Maria Virginia Catalisano;Anthony V. Geramita;Anthony V. Geramita.
Journal of Algebra (2012)
The ideal of forms vanishing at a finite set of points inPn
A.V. Geramita;P. Maroscia.
Journal of Algebra (1984)
Star configurations in Pn
A.V. Geramita;A.V. Geramita;B. Harbourne;J. Migliore.
Journal of Algebra (2013)
Graded Betti numbers of some embedded rationaln-folds
Anthony V. Geramita;Alessandro Gimigliano;Yves Pitteloud.
Mathematische Annalen (1995)
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