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Here you find some notes on fundamental theorems of the arithmetic of elliptic curves as well as Syzygies.
Syzygies___Final_Project_for_Computational_Algebraic_Geometry_class.pdfSyzygies on modules: computational and homological perspectives
weil_conjecture_for_elliptic_curves.pdfWeil Conjectures for Elliptic Curves
Weil Conjectures for Elliptic Curves
Torsion_points_on_elliptic_curves____Nagell_Lutz_theorem.pdfTorsion points on elliptic cuves over rational numbers
Torsion points on elliptic cuves over rational numbers
Siegel__s_Theorem.pdfSiegel's theorem
Siegel's theorem
Here you can find some notes for descent on torsors.
descent_on_Torsors (6).pdfDescent on Torsors
Here are some notes that I prepared in numerics, linear algebra and optimal control, for a course during my undergraduate studies. Probably, they contain tons of mistakes as well as some mathematical immaturity, so use on your own risk!
Finite_Element_Method.pdfFinite Element Method
Frechet_and_Gateaux_Derivatives.pdfGateaux derivatives
Pontryagin_Maximum_principle__Overview_with_proof.pdfPontryagin maximum principle
Function_spaces_and_Sobelov_spaces.pdfNorms
Examples_Of_Runge_Kutta_Method.pdfExamples of Runge Kutta method
Examples of Runge Kutta method
Mathematical_Gems_for_Optimal_Control.pdfNotes on normed vector spaces
Notes on normed vector spaces
Function_spaces_and_Sobelov_spaces.pdfMore on norms
More on norms
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