José Manuel Barrientos López
Hello there! I'm José Manuel, a Mexican mathematician, currently studying Master of Science (in Pure Mathematics) in Guanajuato, Central Mexico, at CIMAT (Centro de Investigación en Matemáticas).
This website is intended to be an approach to my research interests and a chronology of my academic life.
Curriculum Vitae
Here's an English copy of my complete CV.
I started my Master of Science's studies in Mathematics at CIMAT, in August 2022.
I studied Bachelor of Science in Mathematics at University of Guanajuato, from August 2017 to June 2022.
Teaching Assistant Positions: Analysis II, Analysis I, Introduction to Mathematical Proofs, Integral Calculus, Multivariable Calculus.
Where am I?
This is the location of Guanajuato in the Mexico's map .
CONTACT INFORMATION:
email: jose [dot] barrientos [at] cimat [dot] mx
Office at CIMAT: D-617
Talks
This is the YouTube's link to a talk that I gave for the Seminar of Graduate Students at CIMAT: An Introduction to K-Theory for C*-algebras (in Spanish)
Interests
My math area is functional analysis with particular interest on operator algebras.
I am working on my master thesis under the supervision of Dr. Roberto Hernández Palomares (University of Waterloo), my co-advisor is Dr. Raúl Quiroga-Barranco (CIMAT). My thesis is about irrational rotation algebras and its classification by certain invariants such as K-theory.
My favorite graduate courses were: C*-algebras, von Neumann algebras, and Free Probability.
My favorite undergraduate courses were: Measure Theory, Functional Analysis, Partial Differential Equations, and Harmonic Analysis.
Research projects:
"Se busca proyección" (Looking for a projection). Advisor: Dr. Roberto Hernández Palomares (University of Waterloo), in collaboration with Violeta Martínez Escamilla.
Keywords: C*-algebras, operator algebras, C*-Hilbertian modules, AF-algebras, K-theory.
Theory of Distributions. Advisor: Dr. Stephen Sontz (CIMAT).
Keywords: Test functions, distributions, topology of test function space, Dirac delta functions.
Differential Equations on Fractals. Advisor: Dr. Stephen Sontz.
Keywords: Energy graphs, graphs approximations, self-similar measures, geometric and analytic properties of Sierpinski gasket.
Classical Moment Problem. Advisor: Dr. Stephen Sontz.
Keywords: Jacobi matrices, quadratic forms, orthogonal polynomial sequences, equations on differences.
An Introduction to the Bargmann Space. Advisor: Dr. Erik Ignacio Díaz