Perfil del autor: Tornero Sánchez, José María
Datos institucionales
Nombre | Tornero Sánchez, José María |
Departamento | Algebra |
Área de conocimiento | Álgebra |
Categoría profesional | Profesor Titular de Universidad |
Correo electrónico | Solicitar |
Estadísticas
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Nº publicaciones
40
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Nº visitas
7047
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Nº descargas
15266
Publicaciones |
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Tesis Doctoral
On the generalised phase kick-back and its applications
(2024)
La computación cuántica es una rama que ha adquirido creciente relevancia en los últimos tiempos, sobre todo tras el ... |
Trabajo Fin de Grado
El agujero negro de Reissner-Nordström
(2023)
En 1915, Albert Einstein publica la teoría de la relatividad general convirtiéndose en la teoría de la gravedad con mayor ... |
Artículo
A generalisation of the Phase Kick-Back
(Springer, 2023)
In this paper, we present a generalisation of the Phase Kick-Back technique, which is central to some of the classical ... |
Trabajo Fin de Grado
Algebraic tools in quantum computing algorithms
(2023)
Universal quantum gates play a crucial role in quantum computing as they form the building blocks for quantum circuits. ... |
Trabajo Fin de Grado
Primalidad
(2023)
The aim of this work is to present a deterministic method that establishes with absolute certainty whether a given number ... |
Trabajo Fin de Máster
Representaciones de Galois asociadas a curvas elípticas
(2023)
J.P Serre made, in his article ’Proprietes galoisiénnés des points d’ordre fini des courbes elliptiques’ published in 1972 ... |
Trabajo Fin de Grado
El Grupo de Tate-Shafarevich
(2022)
The main purpose of this project is to develop the necessary theory to understand the Birch and Swinnerton-Dyer conjecture. ... |
Trabajo Fin de Grado
Códigos Goppa
(2022)
El objetivo de este trabajo es servirnos de las herramientas impartidas en la asignatura de Álgebra Conmutativa y Geometría ... |
Trabajo Fin de Grado
El teorema de Nagell-Lutz
(2022)
The goal of this memory is to prove the Nagell-Lutz theorem, an important theorem about the rational torsion of elliptic ... |
Trabajo Fin de Máster
The Néron-Ogg-Shafarevich Criterion for elliptic curves
(2020)
This text is the required master thesis that the author needs to present in order to obtain his Master’s degree in ... |
Trabajo Fin de Máster
Teoría de la Complejidad en Computación Cuántica
(2020)
During the rst half of the 20th century, the need of faster calculations brought the rst computers to our world. Those ... |
Artículo
Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases
(Cornell University, 2019)
This article is partly a survey and partly a research paper. It tackles the use of Groebner bases for addressing problems ... |
Trabajo Fin de Máster
Algoritmos fundamentales en computación cuántica
(2019)
At any point in history, we can find examples of problems solved mechanically, but it was in the 20th century with the ... |
Tesis Doctoral
Quantum álgorithms for the combinatorial invariants of numerical semigroups
(2019)
It was back in spring 2014 when the author of this doctoral dissertation was finishing its master thesis, whose main ... |
Trabajo Fin de Grado
Leyes de reciprocidad (cuatro demostraciones de la Ley de Reciprocidad Cuadrática)
(2018)
A lo largo del siguiente trabajo vamos a profundizar en los contenidos impartidos en la asignatura Estructuras Algebraicas ... |
Trabajo Fin de Grado
Códigos correctores de errores cuánticos
(2018)
We could start our story talking about the revolution of quantum mechanics and the need to decipher the mystery that it ... |
Trabajo Fin de Grado
El problema diofántico de Frobenius
(2016)
In this work, we study the diophantine Frobenius problem. First, in Chapter 1, we briefly present what are numerical ... |
Artículo
Torsion of rational elliptic curves over quadratic fields II
(Springer, 2016)
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 ... |
Trabajo Fin de Grado
El ataque polaco al protocolo Enigma
(2016)
El principal objetivo de nuestro trabajo será desvelar las claves del exitoso ataque polaco al protocolo Enigma protagonizado ... |
Artículo
Integral points in rational polygons: a numerical semigroup approach
(Springer, 2016)
In this paper we use an elementary approach by using numerical semigroups (specifically, those with two generators) to ... |
Artículo
Torsion of rational elliptic curves over cubic fields
(Rocky Mountain Mathematics Consortium, 2016)
Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion ... |
Artículo
On the computation of the Apéry set of numerical monoids and affine semigroups
(Springer, 2014)
A simple way of computing the Apéry set of a numerical semigroup (or monoid) with respect to a generator, using Groebner ... |
Artículo
Torsion of rational elliptic curves over quadratic fields
(Springer, 2014)
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. |
Artículo
Some combinatorial remarks on normal flatness in analytic spaces
(Mathematical Society of the Republic of China, 2014)
In this article we present a combinatorial treatment of normal flatness in analytic spaces, using the idea of equimultiple ... |
Tesis Doctoral
Cálculo de invariantes combinatorios de semigrupos numéricos y aplicaciones
(2014)
En esta tesis trata básicamente, de en primer lugar establecer una relación entre bases de Groebner y semigrupos numéricos ... |
Artículo
Markoff-Rosenberger triples in arithmetic progression
(Elsevier, 2013)
We study the solutions of the Rosenberg–Markoff equation ax2 + by2 + cz2 = dxyz (a generalization of the well–known Markoff ... |
Artículo
A complete diophantine characterization of the rational torsion of an elliptic curve
(Springer, 2012)
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. |
Artículo
Galois Theory, discriminants and torsion subgroups of elliptic curves
(Elsevier, 2010)
We find a tight relationship between the torsion subgroup and the image of the mod 2 Galois representation associated to ... |
Artículo
On the ubiquity of trivial torsion on elliptic curves
(Springer, 2010)
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. |
Artículo
Equimultiple locus of embedded algebroid surfaces and blowing-up in arbitrary characteristic
(Chinese Academy of Sciences, 2009)
This paper extends previous results of the authors, concerning the behaviour of the equimultiple locus of algebroid surfaces under blowing–up, to arbitrary characteristic. |
Artículo
Thue equations and torsion groups of elliptic curves
(Elsevier, 2009)
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. |
Artículo
Hironaka's characteristic polygon and effective resolution of surfaces
(Elsevier, 2007)
Hironaka’s concept of characteristic polyhedron of a singularity has been one of the most powerful and fruitful ideas of ... |
Tesis Doctoral |
Artículo
On simultaneous arithmetic progressions on elliptic curves
(Taylor & Francis, 2006)
In this paper we study elliptic curves which have a number of points whose coordinates are in arithmetic progression. We ... |
Artículo
Searching for simultaneous arithmetic progressions on elliptic curves
(Australian Mathematical Society, 2005)
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. |
Artículo
On the singular braid monoid of an orientable surface
(American Mathematical Society, 2004)
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. |
Artículo
Equimultiple locus of embedded algebroid surfaces and blowing-up in characteristic zero
(Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 2004)
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. |
Artículo
Some geometric aspects of Puiseux surfaces
(European Mathematical Society, 2003)
The following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that ... |
Artículo
Computing the rational torsion of an elliptic curve using Tate normal form
(Elsevier, 2002)
It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n (4 ≤ n ≤ 10, ... |
Tesis Doctoral
Aspectos locales de singularidades de superficies superficies de Puiseux
(2001)
La memoria se articula en tres capítulos. En el primer capítulo se fijan definiciones y propiedades conocidas. Superficies ... |