Curriculum Vitae
List of publications
Approximately invertible elements in non-unital normed algebras. Journal of Mathematical Analysis and Applications, Vol. 523 1 (2023).
Continuous frames in Krein spaces. Banach J. Math. Anal. 16, 20 (2022)
Separately Radial Fock-Carleson Type Measures for Derivatives of Order k. In: Bauer W., Duduchava R., Grudsky S., Kaashoek M. (eds) Operator Algebras, Toeplitz Operators and Related Topics. Operator Theory: Advances and Applications, vol 279. Birkhäuser, Cham. (2020)
On hyponormal operators in Krein spaces, Archivum Mathematicum Vol. 55 4 (2019), 249--259.
L-Invariant Fock--Carleson Type Measures for Derivatives of Order k and the Corresponding Toeplitz Operators, Journal of Mathematical Sciences Vol. 242 2 (2019), 337--358.
Positive definite biequivalent kernels, duality and applications, International Journal of Mathematical Analysis Vol. 11 19 (2017), 901--910.
C*-algebra generated by horizontal Toeplitz operators on the Fock space, Boletín de la Sociedad Matemática Mexicana Vol. 22 2 (2016), 567--582.
Radial Toeplitz operators on the Fock space and square--root--slowly oscillating sequences, Complex Analysis and Operator Theory Vol. 10 7 (2016), 1655--1677.
Construction and coupling of frames in Hilbert spaces with W-metrics, Revista Integración Temas de Matemáticas, Vol. 34 1 (2016), 81--93.
Dual and similar frames in Krein spaces, International Journal of Mathematical Analysis Vol. 10 19 ( 2016), 939--952.
C*-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half--plane, Integral Equations and Operator Theory vol. 83 3, 413--428.
Frames of subspaces in Hilbert spaces with W--metrics, Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica vol XXIII 2, 5--22.
Frames in Krein spaces arising from a non-regular W--metric, Banach Journal of Mathematical Analysis vol 9 1, 1--16.
C*-algebra of angular Toeplitz operators on Bergman spaces over the upper half--plane, Commununications in Mathematical Analysis vol 17 2, 151--162.
M.Sc. Students
2021
Advisor
Co-advisor: Dr. Boris Lora Castro
Title: Teoremas de Gelfand-Naimark: Caracterización de Krein C*-álgebras con identidad.
Student: Jair Herazo.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
----------------------------------
2020
Advisor
Co-advisor: Dr. Boris Lora Castro
Title: Frames in Krein C*-modules.
Student: Danilo Polo Ojito.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
------------------------------------------------------------------
2019.
Advisor.
Co-advisor: Dr. Boris Lora Castro.
Title: C*-algebras and Krein C*-modules of bounded operators.
Student: John Flórez Pacheco.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
-----------------------------------------------------------------------
2018
Advisor.
Co-Advisor: Dr. Boris Lora Castro
Title: *-algebras induced by non-degenerate indefinite inner product.
Student: Eduin Rodriguez.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
-----------------------------------------------------------------
2017
Advisor.
Co-Advisor: Dr. Boris Lora Castro
Title: Wold-Kolmogórov decomposition and unitary Extensions of fundamentally reducible and isometric operators in Krein spaces.
Student: Juan Carlos De avila Tapia.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
----------------------------------------------------------------
Co-Advisor.
Advisor: Dr. Boris Lora Castro
Title: Hyponormal operators in Krein spaces.
Student: Jorge Jalk.
Postgrado en Ciencias Matemáticas, Universidad del Atlántico, Barranquilla, Colombia.
Posts held
March 2019-
Full Professor
Department of Mathematics
Universidad de Caldas
Manizales, Colombia.
-------------------------------------------------------------------------------------------------
February--December 2018
Associate Professor
Escuela de Matemáticas y Estadística
Universidad Pedagógica y Tecnológica de Colombia
Tunja, Colombia.
--------------------------------------------------------------------------------------------------
February 2016--December 2017
Associate Professor
Department of Mathematics
Universidad de Sucre
Sincelejo, Colombia.
-----------------------------------------------------------------------------------------------
2009
Lecturer
Departamento de Matemáticas y Estadística
Universidad del Norte
Barranquilla, Colombia.
International Workshop
2023
XIX Encuentro Internacional de Matemáticas (EIMAT), Barranquilla, Colombia.
------------------------------------------------------------------------
2022
XV Congress 2022 GAFEVOL-Evolution equations and functional analysis group, Manizales, Colombia.
International Workshop on Operator Theory on Function Spaces, Xalapa Veracruz, México.
-------------------------------------------------------------------------
2021
XVII Encuentro Internacional de Matemáticas (EIMAT), Barranquilla, Colombia.
-------------------------------------------------------------------------
2018
International Workshop "Operator Algebras, Toeplitz Operators, and Related Topics", Veracruz, México.
-------------------------------------------------------------------------
2016
Coloquio de profesores del Departamento de Matemáticas CINVESTAV, México D.F., México.
Poster en el V Latin American Congress of Mathematicians (CLAM), Barranquilla, Colombia.
------------------------------------------------------------------------
2015
International workshop `` Wiener-Hopf method, Toeplitz operators, and their applications'', Boca del Río, México.
------------------------------------------------------------------------
2014
International Workshop "Analysis, Operator Theory, and Mathematical Physics", Ixtapa, México.
Seminario Estructuras de Toeplitz en Análisis, Veracruz, México.
X Encuentro Internacional de Matemáticas (EIMAT), Barranquilla, Colombia.
---------------------------------------------------------------------
2013
IX Encuentro Internacional de Matemáticas (EIMAT), Barranquilla, Colombia.
Taller Internacional Análisis Norte-Sur, Cuernavaca Morelos, México.
-----------------------------------------------------------------
2011
VII Encuentro de Matemáticas del Caribe Colombiano de Carácter Internacional, Barranquilla, Colombia.
--------------------------------------------------------------
2010
XLIII Congreso Nacional de la Sociedad Matemática Mexicana, Tuxtla Gutierrez, México.
------------------------------------------------------------
2008
V Encuentro de Matemáticas del Caribe Colombiano de Carácter Internacional, Barranquilla, Colombia.
National Events
2023
XXIII Congreso Colombiano de Matemáticas, Sociedad Colombiana de Matemáticas, Universidad Pedagógica y Tecnológica de Colombia, Tunja, Boyacá, Colombia.
2019
XXII Congreso Colombiano de Matemáticas, Sociedad Colombiana de Matemáticas, Universidad del Cauca, Colombia.
----------------------------------------------------------------------------------------