🚲 I am a mathematician
🚲 My area of research is in dynamical systems, and in particular in celestial mechanics and perturbation theory.
🚲 I am a Ph.D. student at CCM, UNAM.
The research topic was perturbation theory. Some of the courses taken were Control Theory, Perturbation Theory, General Relativity, Representation Theory and Integral Asymptotic Approximation.
I made a numerical study of the Sitnikov problem, which is a perturbation of the two-body problem where the perturbation mass moves along a line perpendicular to the primary masses.
The research topic was Celestial Mechanics. My major is in Mathematics with some specialized courses like Partial Differential Equations, Continuous Dynamical Systems, Celestial Mechanics and Differential Geometry. My minor is in programming with knowledge of the following programming languages: C++, Python, Java, Matlab and SQL. The courses I have taken are Introduction to Programming, Data Structures, Databases and Parallel Programming.
I have taken the following courses: Vector Space Theory, Non-Euclidean Geometries, Finite Differences and Analytical Mechanics.
Research area: Dynamical Systems, Celestial Mechanics and Elliptic Functions.
Supervisor: Ph.D. Alexander Arredondo García
Products: Potencial homogéneo generalizado y el problema de Kepler (Article published).
GitHub Repository: EllipticFunctions
https://github.com/AlejandraTM/EllipticFunctionsCourse: Discrete Maths (Web page)
Other activities: Office hours
Teacher training: Workshop for teachers at Jupyter Notebook and GitHubPages (Link GitHub)
📓 Avendaño-Camacho M, Torres-Manotas A, Vallejo JA. Closed stable orbits in a strongly coupled resonant Wilberforce pendulum. Journal of Vibration and Control. 2022;28(7-8):892-901. doi:10.1177/1077546320986023 Link.
📓 Jhon A. Arredondo, Alejandra Torres Manotas. Potencial homogéneo generalizado y el problema de Kepler. Miscelánea Matemática 68.1, pp. 85–112. Link.
📓 Jhon A. Arredondo, Alejandra Torres Manotas. Una breve discusión sobre algunas funciones especiales. Sigma 12.2, pp. 1–30. Link.
🔗 Presentaciones usando Jupyter Notebook. Medium. Link.
🔗 Albert Einstein y la Órbita de Mercurio. Blog de astronomia de Astro-K. Link.
🔗 Breve recorrido por el desarrollo de las geometrías no euclideanas. Link.
🔗 Sabes que eres matemático si... porque no todos tienen el placer de estudiar matemáticas. Link.
🔗 Caos en el amor. Link.
🔗 Eclipses en el Sistema Sol - Tierra - Luna. Link.