Observacion: Debido al deficiente metodo de compilacion de la version original, en esta pagina hemos suprimido los acentos
Gabriel Villa Salvador
Departamento de Control
Automatico
del Centro de Investigacion y de Estudios Avanzados del
Instituto
Politecnico Nacional
Temas
de Investigacion: Teoria
Algebraica de
Numeros:
problema inverso de la teoria de Galois, campos de generos, p-extensiones, representacion
de Galois
del jacobiano, teoria de cogalois, aritmetica de los
campos de funciones congruentes, extensiones con ramificacion
controlada,
grupos
de automorfismos.
Emilio Fernando Azcarraga Jean y Aurelio Nun~o Mayer
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Direccion
electronica: gvilla@ctrl.cinvestav.mx; gvillasalvador@gmail.com
Programa de la
maestria
opcion en Matematicas: OpcionMat.pdf
Apuntes de
Analisis
Real propedeutico: AnalisisReal.pdf
Apuntes de Variable
Compleja: VariableCompleja.pdf
Apuntes de
Calculo
III de la ESFM del I.P.N.: CalculoIII.pdf
Apuntes de Calculo
IV
de la ESFM del I.P.N.: CalculoIV.pdf
Libro de Campos
Ciclotomicos: CamposCiclotomicos. 3ra. versi\'on
Libro de Campos de Clase: Campos de clase local y global.pdf
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Trabajos Recientes:
Genus fields of abelian extensions of rational congruence function fields II (Aceptado en Rocky Mountain Journal of Mathematics)
Genus fields of abelian extensions of rational congruence function fields (Finite Fields and Their Applications 20 (2013) 40–54)
ARTIN–SCHREIER AND CYCLOTOMIC EXTENSIONS (JP Journal of Algebra, Number Theory and Applications 30, 2013, 173-190)
A combinatorial proof of the Kronecker–Weber Theorem in positive characteristic (Finite Fields and Their Applications 26 (2014) 144–161)
Radical extensions for the Carlitz module (Journal of Algebra 398 (2014) 284–302)
Kummer Type Extensions in Function Fields (International Journal of Algebra, Vol. 7, 2013, no. 4, 157 - 166)
Tamely ramified extensions and cyclotomic fields in characteristic p (Palestine Journal of Mathematics Vol. 2 (1) (2013) , 1–5
Campos ciclotomicos (ArXiv)
CONGRUENCE FUNCTION FIELDS WITH CLASS NUMBER ONE (Palestine Journal of Mathematics Vol. 5 (1) (2016) , 159–165)
Genus fields of congruence function fields (Finite Fields and Their Applications 44 (2017) 56–75)
COGALOIS THEORY AND DRINFELD MODULES (ArXiv)
Analogue of the Kronecker–Weber Theorem in positive characteristic (Algebraic curves and finite fields, 213–237, Radon Ser. Comput. Appl. Math., 16, De Gruyter, Berlin, 2014)
Genus fields of cyclic l-extensions of rational function fields (Int. J. Number Theory 9 (2013), no. 5, 1249–1262)
Galois module structure of the p–subgroup of the minus part of the ray class group in Zp–extensions (Palestine Journal of Mathematics Vol. 3(1) (2014) , 1–10)
ABELIAN p–EXTENSIONS AND ADDITIVE POLYNOMIALS (International Journal of Mathematics Vol. 28, No. 14 (2017) 1750100-1 -- 1750100-32)
GENUS FORMULAS FOR ABELIAN p–EXTENSIONS (Aceptado en Rocky Mountain Journal of Mathematics)
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Despidos y destruccion del INECOL en Patzcuaro: Documentos sobre el INECOL
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Antes de votar: Nuestros representantes
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Curso Propedeutico de Analisis Real mayo y junio 2024
Programa
del curso
Lista 1
Lista 2
Lista 3
Lista 4
Lista 5
Lista 6
Lista 7
Soluciones al examen de admision
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