Doctorate Thesis
Coulomb systems in one and two dimensions: exact results
Exact results and fusion mechanisms for two-dimensional systems
Master Thesis
Schrödinger representation in curved space time
Quantum Szilard engines and breakdown of adiabaticity
Undergraduate Thesis
Stability of non-relativistic matter
Monte Carlo Study of Residual Entropy and Topological Modifications in Frustrated Ising Lattices
KdV hierarchies and their relation to Kac-Moody algebras
Self Organized Critical Dynamics on Sierpinski Fractal Lattices
Mesoscopic thermal engines: protocols and characterization
Study of classical collisions between two solitons for the sine-Gordon model in two dimensions
Turbulence and weak solutions of the Euler equations
Non equilibrium thermodynamics: Jarzynski equality and relaxation protocols
Dynamical analysis of bidimensional Coulomb fluids on a disc using the Langevin equation
Emergent chaos in the verge of phase transitions
Two component plasma at Γ=2 : a random matrix theory semi-application
A 2D Fusion Reactor based on the Dyson Gas Dynamics
Dynamical Properties of a Two-dimensional One-component Plasma
Active Matter: Active Brownian Particles
Theoretical/computacional project
Study of Algorithmic Foundations in Quantum Computing: Quantum Fourier Transform and Shor’s Algorithm
Exact Solution of the 2D Ising Model in the Thermodynamic Limit
The Sine-Gordon Model and Its Applications in the Statistical Mechanics of Coulomb Gases in Equilibrium
Geometrical Frustration in Triangular and Kagome Lattices
Equivalence of the Quantum Sine-Gordon and Thirring Models
Prediction of the Arrow of Time in a Spin Chain System within a Time-Dependent Magnetic Field Using Machine Learning
Implementation of Machine Learning in Predicting the Direction of the Thermodynamic Time Arrow in Brownian Motion
Critical properties of the Ising models on fractal lattices
Diffusion Probabilistic Models
Ising model from zeros of the Yang-Lee partition function
Equivalence between the Thirring massive model and the Sine Model Gordon
Applications of the sine-Gordon model in statistical mechanics of Coulomb systems
Mesoscopic thermal engines
Solitons in the classical solution of the sine-Gordon equation
Quantum computing
Applications of quantum algorithms in the resolution of algebraic problems
