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Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. Instituto de Biociências, Letras e Ciências Exatas (IBILCE)
(Institutional affiliation for the last research proposal)

Birthplace:
Irã

graduate at Bacharelado em Matemática Pura from Sharif University of Technology (1997), master's at Mathematics from Associação Instituto Nacional de Matemática Pura e Aplicada (2001) and ph.d. at Mathematics from Associação Instituto Nacional de Matemática Pura e Aplicada (2003). Has experience in Mathematics, focusing on Mathematics, acting on the following subjects: curvas álgebricas, pontos de weiertrass, espaços de moduli, variedades algébricas and superfícies cúbicas. (Source: Lattes Curriculum)

Research grants

- Hasse-Schmidt derivations tools for algebra and algebraic geometry, AV.EXT
### Abstract

The purpose of this research project is to develop further the potential for applications to other branches of mathematics of the powerful notion of Hasse-Schmidt derivations (or higher derivations) on a Grassmann Algebras. It has served, from the time being, as a tool to put in a common picture frame many seemingly unrelated subject, such as, e.g., Schubert Calculus and the boson-fermi...

- The ubiquity of Wronskians in mathematics, with emphasis in algebraic geometry, AV.EXT
### Abstract

Within the last twenty years, Wronskians have been revealed to be mathematical objects of very much great interest, in spite of their seeminglyinnocent and natural definition. The main reasonis that they are a common tool to solve and/or to interpret classes of problems in many different areas of mathematics, going from the elementary theory of (systems of) ordinary differential equat...

- Letterio Gatto | Politecnico di Torino - Italy, AV.EXT
### Abstract

Let C be a smooth curve of genus g>1 and K its canonical bundle. We observe that C can be seen as a section in the Grassmann Bundle G(g, J^{2g-2}K), where J^{2g-2}K is the jets extensions of K. So C defines a cycle in the Chow group of G(g,J^{2g-2}K). This cycle represents the behaviour of the general curve with respect to the Weierstrass points. To describing the curves with special We...

Scholarships in Brazil

- Some classic results on plane algebraic curves, BP.IC
### Abstract

The objective of this project is to study the theory of algebraic plane curves. Some classical and important results such as Bézout's theorem, Plücker formulas and Mordell's theorem will be studied.

- Plane algebraic curves, Plücker formulas and Puiseux series, BP.IC
### Abstract

The objective of this project is to study the theory of algebraic plane curves. We will study some classical and important results such as Bézout's theorem and Plücker formulas, and also the local properties of curves using power series. (AU)

- Riemann-Roch theorem, Frobenius morphisms and the Riemann hypothesis, BP.MS
### Abstract

Tha main object of this project is to present in a unified manner, some of concepts and tools in number theory, commutative algebra, and algebraoc geometry, and to bring out the deep analogies and relations between these areas.

- Elliptic curves and Mordell theorem, BP.IC
### Abstract

Our goal is to study the theory of elliptic curves and Mordell theorem.

(Only some records are available in English at this moment)

Scholarships abroad

- Linear recurrent relations, linear ODEs and generalized Pieri's formulas, BE.PQ
### Abstract

Within the last twenty years, Wronskians have been revealed to be mathematical objects of very much great interest, in spite of their seemingly innocent and natural definition. The main reason is that they are a common tool to solve and/or to interpret classes of problems in many different areas of mathematics, going from the elementary theory of (systems of) ordinary differential equat...

4 /
3
| Completed research grants |

1 /
1
| Ongoing scholarships in Brazil |

6 /
5
| Completed scholarships in Brazil |

2 /
1
| Completed scholarships abroad |

13 /
10
| All research grants and scholarships |

Associated processes |

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

Publications | 5 |

Citations | 8 |

Cit./Article | 1.6 |

Data from Web of Science |

GATTO, LETTERIO; SALEHYAN, PARHAM. Families of special Weierstrass points.** COMPTES RENDUS MATHEMATIQUE**, v. 347, n. 21-22, p. 1295-1298, NOV 2009. Web of Science Citations: 4. (08/04401-1)

GATTO, LETTERIO; SALEHYAN, PARHAM. The boson-fermion correspondence from linear ODEs.** Journal of Algebra**, v. 415, p. 162-183, OCT 1 2014. Web of Science Citations: 2. (12/02869-1)

CUMINO, C.; GATTO, L.; NIGRO, A.. Jets of line bundles on curves and Wronskians.** Journal of Pure and Applied Algebra**, v. 215, n. 6, p. 1528-1538, JUN 2011. Web of Science Citations: 2. (08/04401-1)

GATTO, LETTERIO; SALEHYAN, PARHAM. The cohomology of the Grassmannian is a gl(n)-module.** COMMUNICATIONS IN ALGEBRA**, AUG 2019. Web of Science Citations: 0. (16/03161-3)

GATTO, LETTERIO; SALEHYAN, PARHAM. Schubert Derivations on the Infinite Wedge Power.** BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY**, JAN 2020. Web of Science Citations: 0. (16/03161-3)

(References retrieved automatically from State of São Paulo Research Institutions)

ARRUDA, Rafael Lucas de. Teorema de Riemann-Roch e aplicações. 142 f. Dissertação (Mestrado) - Instituto de Biociências, Letras e Ciências Exatas. Universidade Estadual Paulista. São José do Rio Preto. (08/08768-7)

Please report errors in researcher information by writing to:
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