- Home
- Best Scientists - Mathematics
- Anthony V. Geramita

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
31
Citations
3,812
111
World Ranking
2609
National Ranking
108

- Geometry
- Algebra
- Vector space

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.

- Orthogonal Designs: Quadratic Forms and Hadamard Matrices (364 citations)
- The Hilbert Function of a Reduced K‐Algebra (148 citations)
- Gorenstein algebras and the Cayley-Bacharach theorem (113 citations)

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.

- Combinatorics (62.25%)
- Pure mathematics (52.32%)
- Discrete mathematics (49.67%)

- Combinatorics (62.25%)
- Discrete mathematics (49.67%)
- Symmetric group (3.97%)

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.

- Matroid configurations and symbolic powers of their ideals (22 citations)
- The symbolic defect of an ideal (16 citations)
- Symmetric tensors: rank, Strassen's conjecture and e-computability (12 citations)

- Geometry
- Algebra
- Vector space

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Orthogonal Designs: Quadratic Forms and Hadamard Matrices

A. V. Geramita;Jennifer Seberry.

**(1979)**

574 Citations

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)**

181 Citations

Gorenstein algebras and the Cayley-Bacharach theorem

E. D. Davis;A. V. Geramita;F. Orecchia.

Proceedings of the American Mathematical Society **(1985)**

166 Citations

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)**

140 Citations

Cayley-Bacharach schemes and their canonical modules

Anthony V. Geramita;Martin Kreuzer;Lorenzo Robbiano.

Transactions of the American Mathematical Society **(1993)**

135 Citations

Monomial ideals and points in projective space

A.V. Geramita;D. Gregory;L. Roberts.

Journal of Pure and Applied Algebra **(1986)**

121 Citations

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)**

119 Citations

The ideal of forms vanishing at a finite set of points inPn

A.V. Geramita;P. Maroscia.

Journal of Algebra **(1984)**

118 Citations

Star configurations in Pn

A.V. Geramita;A.V. Geramita;B. Harbourne;J. Migliore.

Journal of Algebra **(2013)**

110 Citations

Graded Betti numbers of some embedded rationaln-folds

Anthony V. Geramita;Alessandro Gimigliano;Yves Pitteloud.

Mathematische Annalen **(1995)**

104 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

University of Wollongong

Queen Mary University of London

DeepMind (United Kingdom)

National Academy of Engineering

Kansai University

Paul Sabatier University

Agricultural Research Service

University of Basel

Woods Hole Oceanographic Institution

Université Libre de Bruxelles

University of British Columbia

University of Bologna

Toronto Metropolitan University

Roswell Park Cancer Institute

University of Oslo

Waymark Care

Microsoft (United States)

Université Paris Cité

Something went wrong. Please try again later.