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Cristian David Gonzalez Aviles

Profesor Asociado

UNIVERSIDAD DE LA SERENA

la serena, Chile

Number Theory; Algebraic Geometry; Algebra; Arithmetic Geometry

Mathematics, OHIO STATE UNIVERSITY. Estados Unidos, 1994

Assistant Professor Full Time

UNIVERSIDAD DE CHILE

Ciencias

santiago, Chile

1994 - 2002
Profesor Asociado Full Time

UNIVERSIDAD DE LA SERENA

La Serena, Chile

2008 - A la fecha

Profesor Asistente Full Time

Universidad Nacional Andres Bello

Santiago, Chile

2003 - 2008


Galois sets of connected components and Weil restriction Bertapelle, Alessandra Article ISI MATHEMATISCHE ZEITSCHRIFT (2017)
On Tate Shafarevich groups of 1-motives Article ISI SCOPUS ACTA ARITHMETICA (2017)
On the cohomology of tori over local fields with perfect residue field Bertapelle, Alessandra Article DOI: 10.1007/s11856-014-1146-4 ISRAEL JOURNAL OF MATHEMATICS (2015)
The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme Borovoi, Mikhail Article CENTRAL EUROPEAN JOURNAL OF MATHEMATICS (2014)
Abelian class groups of reductive group schemes Gonzalez-Aviles, CD Article ISI SCOPUS Israel Journal of Mathematics (2013)
Flasque resolutions of reductive group schemes Gonzalez-Aviles, CD Article ISI SCOPUS Central European Journal of Mathematics (2013)
On Néron class groups of abelian varieties Article JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (2012)
ON THE HASSE PRINCIPLE FOR FINITE GROUP SCHEMES OVER GLOBAL FUNCTION FIELDS Article ISI SCOPUS Mathematical Research Letters (2012)
Quasi-abelian crossed modules and nonabelian cohomology Article ISI SCOPUS Journal of Algebra (2012)
On Néron-Raynaud class groups of tori and the Capitulation Problem Article JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (2010)
Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves Article CENTRAL EUROPEAN JOURNAL OF MATHEMATICS (2009)
The generalized Cassels-Tate dual exact sequence for 1-motives Tan, Ki-Seng Article MATHEMATICAL RESEARCH LETTERS (2009)
Algebraic cycles on Severi-Brauer schemes of prime degree over a curve Article MATHEMATICAL RESEARCH LETTERS (2008)
Arithmetic duality theorems for 1-motives over function fields Article Journal fur d (2008)
Chevalley’s ambiguous class number for an arbitrary torus Article MATHEMATICAL RESEARCH LETTERS (2008)
On K2 of varieties over number fields Article Journal of K-Theory (2008)
A generalization of the Cassels-Tate dual exact sequence Tan, Ki-Seng Article MATHEMATICAL RESEARCH LETTERS (2007)
Capitulation, ambiguous classes and the cohomology of the units Article DOI 10.1515/CRELLE.2007.092 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (2007)
On the Hasse principle for zero-cycles on Severi-Brauer fibrations Article International Mathematical Research Notices (2005)
Finite modules over non-semisimple group rings Article ISRAEL JOURNAL OF MATHEMATICS (2004)
Brauer groups and Tate-Shafarevich groups Article Journal of Mathematical Sciences, University of Tokyo (2003)
On Tate-Shafarevich groups of abelian varieties Article PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2000)
On the conjecture of Birch and Swinnerton-Dyer Article TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (1997)
Class numbers of quadratic function fields and continued fractions Article JOURNAL OF NUMBER THEORY (1992)

Cristian Gonzalez

Profesor Asociado

Mathematics

UNIVERSIDAD DE LA SERENA

la serena, Chile

Cristian David Gonzalez Aviles

Líneas de Investigación

Educación

Mathematics, OHIO STATE UNIVERSITY. Estados Unidos, 1994

Experiencia Académica

Assistant Professor Full Time

Profesor Asociado Full Time

Experiencia Profesional

Profesor Asistente Full Time

Article (24)

Galois sets of connected components and Weil restriction

On Tate Shafarevich groups of 1-motives

On the cohomology of tori over local fields with perfect residue field

The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme

Abelian class groups of reductive group schemes

Flasque resolutions of reductive group schemes

On Néron class groups of abelian varieties

ON THE HASSE PRINCIPLE FOR FINITE GROUP SCHEMES OVER GLOBAL FUNCTION FIELDS

Quasi-abelian crossed modules and nonabelian cohomology

On Néron-Raynaud class groups of tori and the Capitulation Problem

Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves

The generalized Cassels-Tate dual exact sequence for 1-motives

Algebraic cycles on Severi-Brauer schemes of prime degree over a curve

Arithmetic duality theorems for 1-motives over function fields

Chevalley’s ambiguous class number for an arbitrary torus

On K2 of varieties over number fields

A generalization of the Cassels-Tate dual exact sequence

Capitulation, ambiguous classes and the cohomology of the units

On the Hasse principle for zero-cycles on Severi-Brauer fibrations

Finite modules over non-semisimple group rings

Brauer groups and Tate-Shafarevich groups

On Tate-Shafarevich groups of abelian varieties

On the conjecture of Birch and Swinnerton-Dyer

Class numbers of quadratic function fields and continued fractions

Cristian Gonzalez