Sobre mi
About me
info: nditeodoro@usfq.edu.ec
I am working with a multidisciplinary team in applications of mathematics in fractional control, chemestry and relativity. Moreover, I am also still working on integral representation in hypercomplex domain for operators that appear in physics, such as the Helmholtz operator, Cauchy-Fueter operator and Laplace operator, for both boundary and initial value problems are considered. I work in Clifford fractional calculus, theory of multi-monogenic spaces that represent a generalization of the Clifford algebras with different dimension and construction of a social islands model for knowledge transfer and construction applied in education. Furthermore, I do research with such diverse people as musicians and chefs in applications of mathematics on these subjects as well as in pedagogical approaches to teaching mathematics.
I am a co-founder of the research group of Clifford Analysis and Partial Differential Equations in Venezuela and in Ecuador, and the Mathematics Education group at the Colegio Integral El Avila, in Caracas Venezuela.
I have seventeen years of teaching experience, four of which I was assistant in math at the USB during my doctorate program, and the last five years, I was a full-time professor in (USFQ-Ecuador). I foster an exciting and engaging learning environment by utilizing geometry, music, and real-life connections, as I see math as a connection language. These strategies have been very useful for consolidating important concepts and encouraging active participation from students and peers.
I have also enjoyed the challenge in teaching students with special needs and from varying ethnic cultures. I believe mathematics is a language of connection, allowing a person to develop and expand all their capacities. Ultimately, I configure my classes to generate reflection and empathy for mathematics. I also find that students with various abilities are receptive to lessons arranged with examples first and the concept name last. I believe students crave a more exploratory cadence in the classroom, although I believe the literature to be a critical accompaniment as it is organized in a title-first and idea-second sequence. The number one priority in my classroom is for the students to feel confident in their abilities and safe to discover without judgement.
RESEARCH INTERESTS
Hypercomplex analysis
.- Clifford Analysis
.- Quaternions
.- Bicomplex
.- Complex Analysis
Partial Differential Equations
.- PDE in Complex analysis
.- PDE in Quaternions analysis
Fractional Operators in Hypercomplex analysis
Multi spaces on Clifford Structures
Fractional control theory
Education
.- In math
.- Social iteration
.- Interchange models
EDUCATION
1990-1995
High School Degree in Science
Unidad Educativa Colegio Las Colinas, Barquisimeto, Edo. Lara, Venezuela.
1996-1999
Bachelor in Mathematics
Universidad Central de Venezuela, Caracas, Venezuela.
Thesis: Study of Asymptotic Symmetries in Homogeneous Cosmological Models;
Supervisor: Vıctor Villalba, Doctor (IVIC-USB, Monash University).
2005-2007
Master in Mathematics
Universidad Simon Bolıvar, Caracas, Venezuela.
Thesis: Mixed Boundary Value Problems for no homogeneous Polianalytic and Biharmonic Equations; http://159.90.80.55/tesis/000143805.pdf
Supervisor: Carmen Judith Vanegas, Doctor (USB)
2005-2010
Doctor in Mathematics.
Universidad Simon Bolıvar, Caracas, Venezuela.
Thesis: Boundary Value Problems in Clifford Analysis; http://www.bib.usb.ve/tesis/000149854.pdf Supervisor: Carmen Judith Vanegas, Doctor (USB).
ACADEMIC INTERESTS
Complex Analysis, Clifford Analysis, Mathematics Education, Partial Differential Equations, Quantum Mechanics, Quantum electrodynamics (QED), General Relativity, Fractional Calculus and Solar energy.
PERSONAL INTERESTS
Music: Baroque, Classical; Stamp Collections; Video Editing; 3D Animation, Video Games and Persian History; Arts, arts, I love arts....
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