Data

NameTornero Sánchez, José María
DepartmentAlgebra
Knowledge areaÁlgebra
Professional categoryProfesor Titular de Universidad
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  Statistics

  • Items

    29

  • Visits

    3545

  • Downloads

    6682

  Publications

 

Master's Final Project
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The Néron-Ogg-Shafarevich Criterion for elliptic curves

Arias de Reyna Domínguez, Sara; Tornero Sánchez, José María; Navas Orozco, Jesús (2020-09-07)
This text is the required master thesis that the author needs to present in order to obtain his Master’s degree in ...
Master's Final Project
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Teoría de la Complejidad en Computación Cuántica

Tornero Sánchez, José María; Camacho Moro, Jesús (2020-06-01)
During the rst half of the 20th century, the need of faster calculations brought the rst computers to our world. Those ...
Master's Final Project
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Algoritmos fundamentales en computación cuántica

Tornero Sánchez, José María; Pastor Díaz, Ulises (2019-01-01)
At any point in history, we can find examples of problems solved mechanically, but it was in the 20th century with the ...
PhD Thesis
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Quantum álgorithms for the combinatorial invariants of numerical semigroups

Tornero Sánchez, José María; Ossorio Castillo, Joaquín (2019-01-01)
It was back in spring 2014 when the author of this doctoral dissertation was finishing its master thesis, whose main ...
Final Degree Project
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Leyes de reciprocidad (cuatro demostraciones de la Ley de Reciprocidad Cuadrática)

Tornero Sánchez, José María; Sevillano Castellano, Eric (2018-01-01)
A lo largo del siguiente trabajo vamos a profundizar en los contenidos impartidos en la asignatura Estructuras Algebraicas ...
Final Degree Project
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Códigos correctores de errores cuánticos

Tornero Sánchez, José María; Pastor Díaz, Ulises (2018-01-01)
We could start our story talking about the revolution of quantum mechanics and the need to decipher the mystery that it ...
Final Degree Project
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El problema diofántico de Frobenius

Tornero Sánchez, José María; Chacón Gómez, Manuel Jesús (2016-12-01)
In this work, we study the diophantine Frobenius problem. First, in Chapter 1, we briefly present what are numerical ...
Article
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Torsion of rational elliptic curves over quadratic fields II

González Jiménez, Enrique; Tornero Sánchez, José María (Springer, 2016-03-01)
Let E be an elliptic curve defined over Q and let G=E(Q)_tors be the associated torsion group. In a previous paper, the ...
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Integral points in rational polygons: a numerical semigroup approach

Márquez Campos, Guadalupe; Ramírez Alfonsín, Jorge Luis; Tornero Sánchez, José María (Springer, 2016-01-01)
In this paper we use an elementary approach by using numerical semigroups (specifically, those with two generators) to ...
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Torsion of rational elliptic curves over cubic fields

González Jiménez, Enrique; Najman, Filip; Tornero Sánchez, José María (Rocky Mountain Mathematics Consortium, 2016-01-01)
Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion ...
Final Degree Project
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El ataque polaco al protocolo Enigma

Tornero Sánchez, José María; Gallardo Gómez, Rocío (2016-01-01)
El principal objetivo de nuestro trabajo será desvelar las claves del exitoso ataque polaco al protocolo Enigma protagonizado ...
Article
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Torsion of rational elliptic curves over quadratic fields

González Jiménez, Enrique; Tornero Sánchez, José María (Springer, 2014-09-01)
Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion subgroup E(K)tors, where K is a quadratic number field.
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Some combinatorial remarks on normal flatness in analytic spaces

Soto Prieto, Manuel Jesús; Tornero Sánchez, José María (Mathematical Society of the Republic of China, 2014-06-01)
In this article we present a combinatorial treatment of normal flatness in analytic spaces, using the idea of equimultiple ...
PhD Thesis
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Cálculo de invariantes combinatorios de semigrupos numéricos y aplicaciones

Tornero Sánchez, José María; Márquez Campos, Guadalupe (2014-01-01)
En esta tesis trata básicamente, de en primer lugar establecer una relación entre bases de Groebner y semigrupos numéricos ...
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Markoff-Rosenberger triples in arithmetic progression

González Jiménez, Enrique; Tornero Sánchez, José María (Elsevier, 2013-06-01)
We study the solutions of the Rosenberg–Markoff equation ax2 + by2 + cz2 = dxyz (a generalization of the well–known Markoff ...
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A complete diophantine characterization of the rational torsion of an elliptic curve

García Selfa, Irene; Tornero Sánchez, José María (Springer, 2012-01-01)
We give a complete characterization for the rational torsion of an elliptic curve in terms of the (non–)existence of integral solutions of a system of diophantine equations.
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On the ubiquity of trivial torsion on elliptic curves

González Jiménez, Enrique; Tornero Sánchez, José María (Springer, 2010-08-01)
The purpose of this paper is to give a down-to-earth proof of the well–known fact that a randomly chosen elliptic curve over the rationals is most likely to have trivial torsion.
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Galois Theory, discriminants and torsion subgroups of elliptic curves

García Selfa, Irene; González Jiménez, Enrique; Tornero Sánchez, José María (Elsevier, 2010-08-01)
We find a tight relationship between the torsion subgroup and the image of the mod 2 Galois representation associated to ...
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Equimultiple locus of embedded algebroid surfaces and blowing-up in arbitrary characteristic

Piedra Sánchez, Ramón; Tornero Sánchez, José María (Chinese Academy of Sciences, 2009-12-01)
This paper extends previous results of the authors, concerning the behaviour of the equimultiple locus of algebroid surfaces under blowing–up, to arbitrary characteristic.
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Thue equations and torsion groups of elliptic curves

García Selfa, Irene; Tornero Sánchez, José María (Elsevier, 2009-02-01)
A new characterization of rational torsion subgroups of elliptic curves is found, for points of order greater than 4, through the existence of solution for systems of Thue equations.
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Hironaka's characteristic polygon and effective resolution of surfaces

Piedra Sánchez, Ramón; Tornero Sánchez, José María (Elsevier, 2007-03-01)
Hironaka’s concept of characteristic polyhedron of a singularity has been one of the most powerful and fruitful ideas of ...
PhD Thesis
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Aspectos diofánticos y computacionales de la torsión racional en curvas elípticas

Tornero Sánchez, José María; García Selfa, Irene (2006-12-13)
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On simultaneous arithmetic progressions on elliptic curves

García Selfa, Irene; Tornero Sánchez, José María (Taylor & Francis, 2006-01-01)
In this paper we study elliptic curves which have a number of points whose coordinates are in arithmetic progression. We ...
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Searching for simultaneous arithmetic progressions on elliptic curves

García Selfa, Irene; Tornero Sánchez, José María (Australian Mathematical Society, 2005-06-01)
We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
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Equimultiple locus of embedded algebroid surfaces and blowing-up in characteristic zero

Piedra Sánchez, Ramón; Tornero Sánchez, José María (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 2004-01-01)
The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution process, both classical and modern.In this paper we explore how it changes by blowing–up.
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On the singular braid monoid of an orientable surface

Díaz Cantos, Jerónimo; González-Meneses López, Juan; Tornero Sánchez, José María (American Mathematical Society, 2004-01-01)
In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
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Some geometric aspects of Puiseux surfaces

Tornero Sánchez, José María (European Mathematical Society, 2003-01-01)
The following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that ...
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Computing the rational torsion of an elliptic curve using Tate normal form

García Selfa, Irene; Olalla Acosta, Miguel Ángel; Tornero Sánchez, José María (Elsevier, 2002-09-01)
It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n (4 ≤ n ≤ 10, ...
PhD Thesis
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Aspectos locales de singularidades de superficies superficies de Puiseux

Vicente Córdoba, José Luis; Tornero Sánchez, José María (2001-01-01)
La memoria se articula en tres capítulos. En el primer capítulo se fijan definiciones y propiedades conocidas. Superficies ...