Berenstein A, Vassiliev E. (2022)
Definable groups in dense pairs of geometric structures
Archive for Mathematical Logic (ISSN 0933-5846)
Article
Alexander Jonathan Berenstein Opscholtens
Alexander Jonathan Berenstein Opscholtens
Philosophiae Doctor
aberenst @uniandes.edu.co
Office: H-303
Extension: 3652
Profile
1997-2002 Ph.D University of Notre Dame, advisor Steven Buechler. 2002-2005 Doob Research Assistant Professor (Postdoc) University of Illinois. 2005-2007 Assistant Professor Universidad Nacional de Colombia. 2007-2010 Assistant Professor Universidad de los Andes. 2008-2009 Visiting researcher Universite Claude Bernard Lyon 1. 2010-2020 Associate Professor Universidad de los Andes. 2020- Full Professor Universidad de los Andes. I am a logician working in Model Theory. My work is centered around geometric theories (where the algebraic closure induces a matroid) and continuous logic. Continuous Logic provides tools for adapting model theoretic ideas to the study of complete metric structures and their isometries.
Recent Courses
- 2022
CÁLCULO VECTORIAL
First period
Bachelor Level
MATEMÁTICA ESTRUCTURAL
First period
Bachelor Level
Recent Products
Berenstein A, Muñoz J. (2021)
Definable connectedness of randomizations of groups
Archive for Mathematical Logic (ISSN 0933-5846)
Article
Recent Degrees
Philosophiae Doctor
Doctoral degree
University Of Notre Dame
2002
Estados Unidos
Físico
Bachelor degree
Universidad De Los Andes
1997
Colombia
Recent Projects
- 2007
- "Teorías Rosy" y Estructuras métricas estables
Duration: 36 months
PR.3.2007.58.aberenst
Courses
- 2022
CÁLCULO VECTORIAL
First period
Bachelor Level
MATEMÁTICA ESTRUCTURAL
First period
Bachelor Level
- 2021
- 2020
- 2019
- 2018
- 2017
- 2016
- 2015
- 2014
- 2013
Products
Berenstein A, Vassiliev E. (2022)
Definable groups in dense pairs of geometric structures
Archive for Mathematical Logic (ISSN 0933-5846)
Article
Berenstein A, Muñoz J. (2021)
Definable connectedness of randomizations of groups
Archive for Mathematical Logic (ISSN 0933-5846)
Article
Estrada F .(2020). Definibilidad de Dimensión y Multiplicidad en Ultraproductos de Espacios Vectoriales Finitos.
Definibilidad de Dimensión y Multiplicidad en Ultraproductos de Espacios Vectoriales Finitos
Thesis
Berenstein A. (2020)
Fields with a dense-codense linearly independent multiplicative subgroup
Archive for Mathematical Logic (ISSN 0933-5846)
Article
Berenstein A. (2020)
Isometry Groups of Borel Randomizations
Notre Dame Journal of Formal Logic (ISSN 0029-4527)
Article
Cuervo N .(2019). Aleatorización de grupos omega estables..
Aleatorización de grupos omega estables.
Thesis
Upegui C .(2019). Leyes Cero Uno en la logica continua..
Leyes Cero Uno en la logica continua.
Thesis
Berenstein A, Villaveces A, Hyttinen T. (2018)
Hilbert spaces with generic predicates
Revista Colombiana de Matemáticas (ISSN 0034-7426)
Article
Muñoz J .(2017). Aleatorización de Grupos Definibles.
Aleatorización de Grupos Definibles
Thesis
Ferro J .(2017). Automorfismos de límites de Fraïssé con clase de conjugación densa.
Automorfismos de límites de Fraïssé con clase de conjugación densa
Thesis
Buritica G .(2017). El problema del subespacio invariante..
El problema del subespacio invariante.
Thesis
Cuervo N .(2017). La universalidad del espacio de Urysohn y su grupo de isometrías.
La universalidad del espacio de Urysohn y su grupo de isometrías
Thesis
Carmona J, Berenstein A, Vassiliev E. (2017)
Supersimples structures with a dense independent subset
Mathematical Logic Quarterly ()
Article
Berenstein A, Kim H. (2016)
Dense codense predicates and the NTP2
Mathematical Logic Quarterly ()
Article
Berenstein A, Vassiliev E. (2016)
Geometric structures with a dense independent subset
Selecta Mathematica, New Series (ISSN 1022-1824)
Article
Suarez L .(2016). Medidas invariantes para transformaciones continuas.
Medidas invariantes para transformaciones continuas
Thesis
Onshuus A, Berenstein A.
teoría de modelos y dinámica topológica
Colciencias.
Proposal
Carmona J .(2015). Geometric expansions and ampleness.
Geometric expansions and ampleness
Thesis
Ben I, Berenstein A, Henson C. (2014)
ALMOST INDISCERNIBLE SEQUENCES AND CONVERGENCE OF CANONICAL BASES
Journal of Symbolic Logic (ISSN 0022-4812)
Article
De D .(2014). Acciones de Z y ZxZ en el grupo de transformaciones que preservan medida de un espacio de probabilidad.
Acciones de Z y ZxZ en el grupo de transformaciones que preservan medida de un espacio de probabilidad
Thesis
Berenstein A, Vassiliev E. (2014)
Generic trivializations of geometric theories
Mathematical Logic Quarterly ()
Article
Berenstein A, Yaacov I, Melleray J. (2013)
Polish topometric groups
Transactions of the American Mathematical Society (ISSN 0002-9947)
Article
Berenstein A, Vassiliev E. (2012)
WEAKLY ONE-BASED GEOMETRIC THEORIES
Journal of Symbolic Logic (ISSN 0022-4812)
Article
Yaacov I, Berenstein A, Ward C. (2011)
Model-theoretic independence in the banach lattices L (p) (A mu)
Israel Journal of Mathematics (ISSN 0021-2172)
Article
Yaacov I, Ferri S, Berenstein A. (2011)
Reflexive representability and stable metrics
Mathematische Zeitschrift (ISSN 0025-5874)
Article
Berenstein A, Dolich A, Onshuus A. (2011)
THE INDEPENDENCE PROPERTY IN GENERALIZED DENSE PAIRS OF STRUCTURES
Journal of Symbolic Logic (ISSN 0022-4812)
Article
Vassiliev E, Berenstein A. (2010)
On lovely pairs of geometric structures
Annals of Pure and Applied Logic (ISSN 0168-0072)
Article
Berenstein A, Argoty C. (2009)
Hilbert spaces expanded with a unitary operator
Mathematical Logic Quarterly ()
Article
Yaacov I, Berenstein A. (2009)
On Perturbations of Hilbert spaces and probability algebras with a generic automorphism
JOURNAL OF LOGIC AND ANALYSIS [ELECTRONIC ONLY] (ISSN 1759-9008)
Article
Berenstein A, Yaacov I, Usvyatsov A, Ward C. (2008)
Model Theory for metric structures
Model theory with applications to algebra and analysis. (ISBN 9780521709088)
Inbook
Berenstein A. (2007)
Hilbert spaces with generic groups of automorphisms
Archive for Mathematical Logic (ISSN 0933-5846)
Article
Clifton E, Günaydin A, Berenstein A. (2007)
Thorn independence in the field of real numbers with a small multiplicative group
Annals of Pure and Applied Logic (ISSN 0168-0072)
Article
Berenstein A. (2006)
Definable subgroups of measure algebras
Mathematical Logic Quarterly ()
Article
Berenstein A, Shami Z. (2006)
Invariant version of cardinality quantifiers in superstable theories
Notre Dame Journal of Formal Logic (ISSN 0029-4527)
Article
Berenstein A. (2004)
Dividing in the algebra of compact operators
Journal of Symbolic Logic (ISSN 0022-4812)
Article
Berenstein A, Yaacov I. (2004)
Imaginaries in Hilbert space
Archive for Mathematical Logic (ISSN 0933-5846)
Article
Berenstein A, Buechler S. (2004)
Simple stable homogeneous expansions of Hilbert spaces
Annals of Pure and Applied Logic (ISSN 0168-0072)
Article
Berenstein A. (2003)
Simple stable homogeneous groups
Journal of Symbolic Logic (ISSN 0022-4812)
Article
Degrees
Philosophiae Doctor
Doctoral degree
University Of Notre Dame
2002
Estados Unidos
Físico
Bachelor degree
Universidad De Los Andes
1997
Colombia
Matemático
Bachelor degree
Universidad De Los Andes
1996
Colombia
Projects
- 2007
- "Teorías Rosy" y Estructuras métricas estables
Duration: 36 months
PR.3.2007.58.aberenst
Sitio Web
Para consultar mi sitio web: Aquí