Portfolio

• Singular points in planar dynamical systems and in FLRW metric f(R) cosmology models (2023)
• Direct Method and Convexity in the Calculus of Variations: De Giorgi-Ioffe Theorem (2023)
• Riemann-Roch theorem for algebraic curves (2023)
• Siegel's theorem and Diophantine Geometry (2023)
• Implementation and analysis of a Stochastic SIR pandemic model (2023)
• Discrete log-cryptography and twisting commutative algebraic groups (2022)
• Supersingular Elliptic Curves and Cryptography (2022)
• Modeling drought periods in Brazil using non-homogeneous Poisson Processes (2022)
• Implementation of finite differece methods to solve PDEs (2022)
• The Unruh effect and the particle concept in Quantum Field Theory (2021)
• Lyapunov Stability and Hopfield Neural Networks (2021)
• Rigid and Uniformly Accelerated Motions in Spacetime (2020)
• Quantum Harmonic Oscillator and introduction to Quantum Field Theory (2020)
• Celestial Mechanics (2019)