Alexander Cardona Guio

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Alexander Cardona Guio

Alexander Cardona Guio

Docteur D'Université (Spécialité:Mathématiques Pures Et Appliquées)

acardona @uniandes.edu.co

Office: H-401

Extension: 3642

Profile
Courses
Products
Degrees
Projects
Sitio Web

Profile

Alexander Cardona has been Professor of Mathematics at Uniandes since January 2005. He earned his Ph.D. at the Université Blaise Pascal (Clermont-Ferrand, France) with a dissertation on the geometry of elliptic complexes and duality in quantum field theory, under the supervision of Professor Sylvie Paycha. After postdoctoral and guest positions at the Université Libre de Bruxelles (Brussels, Belgium), Institut des Hautes Études Scientifiques (Bures-sur-Yvette, France) and Keio University (Yokohama, Japan) he became assistant professor at the Department of Mathematics of the Universidad de los Andes, from 2011 he is Associate Professor. The research activity of Alexander Cardona concerns mathematical tools that are motivated by physical problems. He studies differential geometry and global analysis, and their applications to physical models in which the underlying topology is important.

Recent Courses

  • 2022

    • CÁLCULO VECTORIAL

      First period
      Bachelor Level

      GEOMETRÍA DIFERENC. 2

      First period
      Bachelor Level
View more

Recent Products

A.F. Reyes-Lega, Cardona A.(2019).
Geometry and Theoretical Physics (Summer Research Institute)
Event
Read More
Cardona A, Paycha S, A.F. Reyes-Lega. (2017)
Prelude: A General Overview
Quantization, Geometry and Noncommutative Structures in Mathematics and Physics (ISBN 978-3-319-65426-3)
Inbook
Read More
View more

Recent Degrees

Docteur D'Université (Spécialité:Mathématiques Pures Et Appliquées)

Doctoral degree

Université Blaise Pascal

2002

Francia

Magíster En Matemáticas

Master degree

Universidad De Los Andes

1999

Colombia

View more

Recent Projects

  • 2006
    • Regularización, Teoría del índice en geometría no conmutativa y grupos cuánticos; Teorema de índice para álgebras de deformación y genometría no conmutativa y Simetría y reducción de variedades complejas generalizadas.

      Duration: 36 months

      PR.3.2005.104.acardona

View more

Courses

  • 2022

    • CÁLCULO VECTORIAL

      First period
      Bachelor Level

      GEOMETRÍA DIFERENC. 2

      First period
      Bachelor Level
  • 2021

    • GEOMETRÍA DE CURVAS Y SUPERFIC

      First period
      Bachelor Level

      CURSO TUTORIAL POSTGRADO 2

      First period
      Master Level

    • SEMINARIO DE POSTGRADO 1

      First period
      Master Level

      SEMINARIO DE TRABAJO DE GRADO

      First period
      Master Level

    • PASANTÍA

      First period
      Doctoral Level

      DEFENSA DE TESIS

      First period
      Doctoral Level

    • PROYECTO DE TESIS 1

      First period
      Doctoral Level

      PROYECTO DE TESIS 2

      First period
      Doctoral Level

    • PRETESIS 2

      First period
      Doctoral Level

      PRETESIS 3

      First period
      Doctoral Level

    • PRETESIS 4

      First period
      Doctoral Level

      SEMINARIO DE POSTGRADO 2

      First period
      Master Level

    • TRABAJO DE GRADO

      First period
      Master Level

      SEMINARIO DE POSTGRADO 2

      First period
      Doctoral Level

    • EXAMEN DE CONOCIMIENTO 1

      First period
      Doctoral Level

      TESIS

      First period
      Doctoral Level

    • ALGEBRA LINEAL 1

      First period
      Bachelor Level

      EXAMEN DE CONOCIMIENTO 2

      First period
      Doctoral Level

    • SEMINARIO DE POSTGRADO 1

      First period
      Doctoral Level

      PRETESIS 1

      First period
      Doctoral Level

    • CURSO TUTORIAL DE POSGRADO

      First period
      Master Level

      CURSO TUTORIAL POSTGRADO 3

      First period
      Master Level
  • 2020

    • ALGEBRA LINEAL 1

      First period
      Bachelor Level

      SEMINARIO DE POSTGRADO 2

      First period
      Master Level

    • EXAMEN DE CONOCIMIENTO 1

      First period
      Doctoral Level

      PRETESIS 2

      First period
      Doctoral Level

    • TRABAJO DE GRADO

      Second period
      Master Level

      CALC. VECTORIAL (HONORES)

      Second period
      Bachelor Level

    • CURSO TUTORIAL DE POSGRADO

      Second period
      Master Level

      SEMINARIO DE POSTGRADO 1

      Second period
      Doctoral Level

    • SEMINARIO DE POSTGRADO 2

      Second period
      Doctoral Level

      EXAMEN DE CONOCIMIENTO 2

      First period
      Doctoral Level

    • CURSO TUTORIAL DE POSGRADO

      First period
      Master Level

      SEMINARIO DE TRABAJO DE GRADO

      First period
      Master Level

    • PROYECTO DE TESIS 1

      First period
      Doctoral Level

      INSCRIPCIÓN A GRADO

      Second period
      Master Level

    • PROYECTO DE TESIS 1

      Second period
      Doctoral Level

      PROYECTO DE TESIS 2

      Second period
      Doctoral Level

    • SUSTENTACIÓN DE PROYECTO

      Second period
      Doctoral Level

      PASANTÍA

      Second period
      Doctoral Level

    • PRETESIS 4

      Second period
      Doctoral Level

      SEMINARIO DE POSTGRADO 2

      Second period
      Master Level

    • EXAMEN DE CONOCIMIENTO 1

      Second period
      Doctoral Level

      PRETESIS 2

      Second period
      Doctoral Level

    • PRETESIS 3

      Second period
      Doctoral Level

      TRABAJO DE GRADO

      First period
      Master Level

    • PRETESIS 1

      First period
      Doctoral Level

      CURSO TUTORIAL POSTGRADO 4

      Second period
      Master Level

    • EXAMEN DE CONOCIMIENTO 2

      Second period
      Doctoral Level

      CURSO TUTORIAL POSTGRADO 2

      First period
      Master Level

    • PRETESIS 3

      First period
      Doctoral Level

      SEMINARIO DE POSTGRADO 1

      First period
      Master Level

    • CURSO TUTORIAL POSTGRADO 3

      Second period
      Master Level

      ALGEBRA LINEAL 1 (INGLÉS)

      Second period
      Bachelor Level

    • ALGEBRA LINEAL 1

      Second period
      Bachelor Level

      HACES FIBRADOS

      First period
      Bachelor Level

    • HACES FIBRADOS

      First period
      Master Level

      SEMINARIO DE POSTGRADO 1

      Second period
      Master Level

    • PRETESIS 1

      Second period
      Doctoral Level

      DEFENSA DE TESIS

      Second period
      Doctoral Level

    • CURSO TUTORIAL POSTGRADO 2

      Second period
      Master Level

      SEMINARIO DE TRABAJO DE GRADO

      Second period
      Master Level

    • TESIS

      Second period
      Doctoral Level
  • 2019

    • INSCRIPCION A GRADO

      First period
      Master Level

      PRETESIS 2

      First period
      Doctoral Level

    • CALCULO VECTORIAL

      First period
      Bachelor Level

      CALCULO VECTORIAL

      Second period
      Bachelor Level

    • PASANTIA

      Second period
      Doctoral Level

      PROYECTO DE TESIS 1

      First period
      Doctoral Level

    • PROYECTO DE TESIS 2

      First period
      Doctoral Level

      PRETESIS 5

      First period
      Doctoral Level

    • EXAMEN DE CONOCIMIENTO 2

      Second period
      Doctoral Level

      SUSTENTACIÓN DE PROYECTO

      Second period
      Doctoral Level

    • GEOMETRIA DE CURVAS Y SUPERFIC

      First period
      Bachelor Level

      SEMINARIO DE TRABAJO DE GRADO

      First period
      Master Level

    • EXAMEN DE CONOCIMIENTO 1

      First period
      Doctoral Level

      PASANTIA

      First period
      Doctoral Level

    • PRETESIS 4

      First period
      Doctoral Level

      TESIS

      First period
      Doctoral Level

    • SEMINARIO DE POSTGRADO 2

      Second period
      Doctoral Level

      TESIS

      Second period
      Doctoral Level

    • GEOMETRÍA DIFERENC. 2

      First period
      Bachelor Level

      SUSTENTACIÓN DE PROYECTO

      First period
      Doctoral Level

    • PRETESIS 3

      First period
      Doctoral Level

      CURSO TUTORIAL POSTGRADO 2

      First period
      Master Level

    • SEMINARIO DE POSTGRADO 2

      First period
      Master Level

      EXAMEN DE CONOCIMIENTO 2

      First period
      Doctoral Level

    • DEFENSA DE TESIS

      First period
      Doctoral Level

      SEMINARIO DE POSTGRADO 1

      First period
      Doctoral Level

    • SEMINARIO DE POSTGRADO 2

      First period
      Doctoral Level

      PRETESIS 1

      First period
      Doctoral Level

    • CURSO TUTORIAL POSTGRADO 2

      Second period
      Master Level

      SEMINARIO DE TRABAJO DE GRADO

      Second period
      Master Level

    • INSCRIPCION A GRADO

      Second period
      Master Level

      DEFENSA DE TESIS

      Second period
      Doctoral Level

    • CÁLCULO VARIABLE COMPLEJA

      Second period
      Bachelor Level

      CURSO TUTORIAL DE POSGRADO

      Second period
      Master Level

    • SEMINARIO DE POSTGRADO 2

      Second period
      Master Level

      EXAMEN DE CONOCIMIENTO 1

      Second period
      Doctoral Level

    • PRETESIS 2

      Second period
      Doctoral Level

      PRETESIS 5

      Second period
      Doctoral Level

    • SEMINARIO DE POSTGRADO 1

      Second period
      Master Level

      TRABAJO DE GRADO

      Second period
      Master Level

    • PROYECTO DE TESIS 2

      Second period
      Doctoral Level

      PRETESIS 3

      Second period
      Doctoral Level

    • TRABAJO DE GRADO

      First period
      Master Level

      CURSO TUTORIAL POSTGRADO 3

      Second period
      Master Level

    • CURSO TUTORIAL DE POSGRADO

      First period
      Master Level

      SEMINARIO DE POSTGRADO 1

      First period
      Master Level

    • PRETESIS 1

      Second period
      Doctoral Level

      PRETESIS 4

      Second period
      Doctoral Level

    • SEMINARIO DE POSTGRADO 1

      Second period
      Doctoral Level

      PROYECTO DE TESIS 1

      Second period
      Doctoral Level
  • 2018

    • GEOMETRIA DE CURVAS Y SUPERFIC

      First period
      Bachelor Level

      CALCULO VECTORIAL

      First period
      Bachelor Level

    • INSCRIPCION A GRADO

      Second period
      Master Level

      PRETESIS 4

      Second period
      Doctoral Level

    • TRABAJO DE GRADO

      Second period
      Master Level

      PROYECTO DE TESIS 1

      Second period
      Doctoral Level

    • SEMINARIO DE POSTGRADO 2

      Second period
      Master Level

      PROYECTO DE TESIS 2

      Second period
      Doctoral Level

    • PRETESIS 1

      Second period
      Doctoral Level

      DEFENSA DE TESIS

      Second period
      Doctoral Level

    • EXAMEN DE CONOCIMIENTO 1

      Second period
      Doctoral Level

      EXAMEN DE CONOCIMIENTO 2

      Second period
      Doctoral Level

    • SUSTENTACIÓN DE PROYECTO

      Second period
      Doctoral Level

      PASANTIA

      Second period
      Doctoral Level

    • PRETESIS 2

      Second period
      Doctoral Level

      SEMINARIO DE TRABAJO DE GRADO

      Second period
      Master Level

    • SEMINARIO DE POSTGRADO 2

      Second period
      Doctoral Level

      TESIS

      Second period
      Doctoral Level

    • CURSO TUTORIAL POSTGRADO 2

      Second period
      Master Level

      SEMINARIO DE POSTGRADO 1

      Second period
      Doctoral Level

    • CALCULO VECTORIAL

      Second period
      Bachelor Level

      GEOMETRÍA DIFERENC. 2

      Second period
      Bachelor Level

    • CURSO TUTORIAL DE POSGRADO

      Second period
      Master Level

      SEMINARIO DE POSTGRADO 1

      Second period
      Master Level

    • PRETESIS 3

      Second period
      Doctoral Level

      PRETESIS 5

      Second period
      Doctoral Level
  • 2017

    • INSCRIPCION A GRADO

      First period
      Master Level

      EXAMEN DE CONOCIMIENTO 2

      First period
      Doctoral Level

    • PRETESIS 1

      First period
      Doctoral Level

      CURSO TUTORIAL POSTGRADO 3

      First period
      Master Level

    • CURSO TUTORIAL POSTGRADO 2

      First period
      Master Level

      PROYECTO DE TESIS 1

      First period
      Doctoral Level

    • EXAMEN DE CONOCIMIENTO 1

      First period
      Doctoral Level

      PROYECTO DE TESIS 2

      First period
      Doctoral Level

    • SUSTENTACIÓN DE PROYECTO

      First period
      Doctoral Level

      DEFENSA DE TESIS

      First period
      Doctoral Level

    • SEMINARIO DE POSTGRADO 1

      First period
      Master Level

      TRABAJO DE GRADO

      First period
      Master Level

    • SEMINARIO DE POSTGRADO 1

      First period
      Doctoral Level

      PRETESIS 3

      First period
      Doctoral Level

    • CURSO TUTORIAL DE POSGRADO

      First period
      Master Level

      SEMINARIO DE POSTGRADO 2

      First period
      Master Level

    • SEMINARIO DE POSTGRADO 2

      First period
      Doctoral Level

      PASANTIA

      First period
      Doctoral Level

    • PRETESIS 2

      First period
      Doctoral Level

      PRETESIS 4

      First period
      Doctoral Level

    • PRETESIS 5

      First period
      Doctoral Level

      PRETESIS 6

      First period
      Doctoral Level

    • INTERCAMBIO INTERNACIONAL

      First period
      Doctoral Level

      CALCULO VECTORIAL

      Second period
      Bachelor Level

    • SEMINARIO DE TRABAJO DE GRADO

      First period
      Master Level

      CALCULO VECTORIAL

      First period
      Bachelor Level

    • CALC.VARIABLE COMPLEJA

      First period
      Bachelor Level

      TESIS

      First period
      Doctoral Level

    • HACES FIBRADOS

      Second period
      Bachelor Level

      CURSO TUTORIAL DE POSGRADO

      Second period
      Master Level

    • CURSO TUTORIAL POSTGRADO 2

      Second period
      Master Level

      HACES FIBRADOS

      Second period
      Master Level
  • 2016

    • ALGEBRA LINEAL 1

      First period
      Bachelor Level

      CALC.VARIABLE COMPLEJA

      First period
      Bachelor Level

    • CALCULO VECTORIAL

      Second period
      Bachelor Level

      INSCRIPCION A GRADO

      Second period
      Master Level

    • PASANTIA 2

      Second period
      Doctoral Level

      PRETESIS 4

      Second period
      Doctoral Level

    • PRETESIS 6

      Second period
      Doctoral Level

      TESIS

      Second period
      Doctoral Level

    • INTERCAMBIO INTERNACIONAL

      Second period
      Doctoral Level

      SEMINARIO DE TRABAJO DE GRADO

      First period
      Master Level

    • INSCRIPCION A GRADO

      First period
      Master Level

      DEFENSA DE TESIS

      First period
      Doctoral Level

    • PASANTIA

      Interseminal period
      Doctoral Level

      SEMINARIO DE POSTGRADO 2

      Second period
      Master Level

    • PROYECTO DE TESIS 2

      Second period
      Doctoral Level

      DEFENSA DE TESIS

      Second period
      Doctoral Level

    • SUSTENTACIÓN DE PROYECTO

      Second period
      Doctoral Level

      PRETESIS 1

      Second period
      Doctoral Level

    • PRETESIS 2

      Second period
      Doctoral Level

      EXAMEN DE CONOCIMIENTO 2

      First period
      Doctoral Level

    • SEMINARIO DE POSTGRADO 2

      First period
      Master Level

      PROYECTO DE TESIS 2

      First period
      Doctoral Level

    • PASANTIA 2

      First period
      Doctoral Level

      PRETESIS 1

      First period
      Doctoral Level

    • PRETESIS 4

      First period
      Doctoral Level

      CURSO TUTORIAL DE POSGRADO

      Second period
      Master Level

    • SEMINARIO DE TRABAJO DE GRADO

      Second period
      Master Level

      TRABAJO DE GRADO

      Second period
      Master Level

    • SEMINARIO DE POSTGRADO 1

      Second period
      Doctoral Level

      PROYECTO DE TESIS 1

      Second period
      Doctoral Level

    • EXAMEN DE CONOCIMIENTO 1

      Second period
      Doctoral Level

      PASANTIA

      Second period
      Doctoral Level

    • PRETESIS 6

      First period
      Doctoral Level

      PROYECTO DE TESIS 1

      First period
      Doctoral Level

    • PRETESIS 3

      First period
      Doctoral Level

      INTERCAMBIO INTERNACIONAL

      First period
      Doctoral Level

    • SEMINARIO DE POSTGRADO 1

      First period
      Doctoral Level

      SUSTENTACIÓN DE PROYECTO

      First period
      Doctoral Level

    • PASANTIA

      First period
      Doctoral Level

      CURSO TUTORIAL DE POSGRADO

      First period
      Master Level

    • CURSO TUTORIAL POSTGRADO 2

      First period
      Master Level

      SEMINARIO DE POSTGRADO 1

      First period
      Master Level

    • SEMINARIO DE POSTGRADO 1

      Second period
      Master Level

      EXAMEN DE CONOCIMIENTO 2

      Second period
      Doctoral Level

    • CURSO TUTORIAL POSTGRADO 2

      Second period
      Master Level

      SEMINARIO DE POSTGRADO 2

      Second period
      Doctoral Level

    • PRETESIS 3

      Second period
      Doctoral Level

      PRETESIS 5

      Second period
      Doctoral Level

    • CALCULO VECTORIAL

      First period
      Bachelor Level

      GRUPOS DE LIE

      First period
      Bachelor Level

    • TRABAJO DE GRADO

      First period
      Master Level

      SEMINARIO DE POSTGRADO 2

      First period
      Doctoral Level

    • EXAMEN DE CONOCIMIENTO 1

      First period
      Doctoral Level

      PRETESIS 2

      First period
      Doctoral Level

    • PRETESIS 5

      First period
      Doctoral Level

      TESIS

      First period
      Doctoral Level

    • GRUPOS DE LIE

      First period
      Master Level
  • 2015

    • ALGEBRA LINEAL 1

      First period
      Bachelor Level

      GEOMETRIA DE CURVAS Y SUPERFIC

      First period
      Bachelor Level

    • ALGEBRA LINEAL 1

      Second period
      Bachelor Level

      CALC.VARIABLE COMPLEJA

      Second period
      Bachelor Level
  • 2014

    • CALCULO VECTORIAL

      First period
      Bachelor Level

      ALGEBRA LINEAL 1

      Second period
      Bachelor Level

    • ALG. LINEAL 1 (HONORES)

      Second period
      Bachelor Level

      GEOM. DE FORMAS DIFERENCIALES

      First period
      Master Level
  • 2013

    • ALGEBRA LINEAL 1

      First period
      Bachelor Level

      GEOMETRIA RIEMANNIANA

      First period
      Bachelor Level

Products

A.F. Reyes-Lega, Cardona A.(2019).
Geometry and Theoretical Physics (Summer Research Institute)
Event
Read more
Cardona A, Paycha S, A.F. Reyes-Lega. (2017)
Prelude: A General Overview
Quantization, Geometry and Noncommutative Structures in Mathematics and Physics (ISBN 978-3-319-65426-3)
Inbook
Read more
Andruskiewitsch N, Berkovits N, Cardona A, Cattaneo A, Clavier P, Esole M, Falk K, Gomez H, Gutt S, Kassel C, Mnev P, Nguyen V, Paycha S, A.F. Reyes-Lega, Wernli K. (2017)
Quantization, Geometry and Noncommutative Structures in Mathematics and Physics
Book
Read more
Del C .(2016). Canonical Trace and Pseudo-differential Operators on Manifolds with Boundary.
Canonical Trace and Pseudo-differential Operators on Manifolds with Boundary
Thesis
Read more
Cardona A. (2016)
Contact structures as Dirac structures and their associated Poisson algebras
LOBACHEVSKII JOURNAL OF MATHEMATICS (ISSN 1995-0802)
Article
Read more
Cano L, Cardona A, Ocampo H, A.F. Reyes-Lega. (2016)
Proceedings of the 2013 Villa de Leyva Summer School (Villa de Leyva, Colombia, 15-27 July 2013) Geometric, Algebraic and Topological Methods for Quantum Field Theory
Book
Read more
A.F. Reyes-Lega, Cardona A, Paycha S, Ocampo H, Neira C. (2014)
Geometric, Algebraic and Topological Methods for Quantum Field Theory
Book
Read more
Del C, Cardona A. (2013)
Regularized Traces and the Index formula for Manifolds with Boundary
Geometric and topological methods for quantum field theory (ISBN 9781107026834)
Inbook
Cardona A. (2012)
Extended symmetries and Poisson algebras associated to twisted Dirac structures
Contemporary Mathematics (ISSN 0271-4132)
Article
Cardona A, Contreras I, A.F. Reyes-Lega. (2011)
Geometric and topological methods for quantum field theory: Proceedings of the 2009 Villa de Leyva summer school
Book
Read more
Cardona A. (2005)
Zeta function regularization and index theory in noncommutative geometry
International Conference in Noncommutative Geometry and Physics
Inproceeding
Cardona A. (2005)
ζ-function regularization and index theory in noncommutative geometry
Noncommutative geometry and physics (ISBN 9812564926)
Inbook
Read more
Cardona A. (2004)
Geometric and metaplectic quantization
Article
Cardona A. (2004)
Política Científica en Asia y Colombia
Revista Cambio (ISSN 0124-4957)
Article
Cardona A. (2004)
Symplectic and metaplectic quantization
Geometry Seminar
Inproceeding
Cardona A. (2003)
Cuantización y deformación
Seminario de física teórica
Inproceeding
Cardona A, Ducourtioux C, Paycha S. (2003)
From tracial anomalies to anomalies in quantum field theory
Communications in Mathematical Physics (ISSN 0010-3616)
Article
Read more
Cardona A. (2003)
Symplectic Dirac Operators and Quantization
Summer School in Geometrical and Topological Methods in Quantum Field Theory
Inproceeding
Cardona A, Ducourtioux C, Magnot J, Paycha S. (2002)
Weighted traces on algebras of pseudo-differential operators and geometry on loop groups
Infinite Dimensional Analysis, Quantum Probability and Related Topics (ISSN 0219-0257)
Article
Read more
Cardona A. (2001)
Gauge anomalies, weighted traces and index theorem
2001 Summer School on Geometric and Topological Methods for Quantum Field Theory
Inproceeding
Cardona A. (2001)
Remarks on duality, analytical torsion and Gaussian integration in antisymmetric field theories
1999 Summer School on Geometric Methods for Quantum Field Theory
Inproceeding

Degrees

  • Docteur D'Université (Spécialité:Mathématiques Pures Et Appliquées)

    Doctoral degree

    Université Blaise Pascal

    2002

    Francia

    Magíster En Matemáticas

    Master degree

    Universidad De Los Andes

    1999

    Colombia

  • Licenciado En Física

    Bachelor degree

    Universidad Pedagogica Nacional

    1993

    Colombia

Projects

  • 2006
    • Regularización, Teoría del índice en geometría no conmutativa y grupos cuánticos; Teorema de índice para álgebras de deformación y genometría no conmutativa y Simetría y reducción de variedades complejas generalizadas.

      Duration: 36 months

      PR.3.2005.104.acardona

Sitio Web

Para consultar mi sitio web: Aquí