"The Cosmos is all that is or ever was or ever will be. Our feeblest contemplations of the Cosmos stir us — there is a tingling in the spine, a catch in the voice, a faint sensation as if a distant memory, of falling from a height. We know we are approaching the greatest of mysteries".
Carl Sagan, Cosmos (1980).
X-Ray Busters and their constraints to the Neutron Star Mass-Radius Relation and the Equation of State of Dense Matter
Poisson Structure on Moduli of Flat Connections on Riemann Surfaces.
Under supervision of Dr. Nikita Nekrasov (2012).
We studied the space of graph connections (lattice gauge fields) endowed with a Poisson structure ,
based on previous work from V.V.Fock and A.A.Rosly. We applied this Poisson structure on the moduli space of locally
flat vector bundles on a Riemann surface with holes, for instance a sphere with four holes (i.e boundaries),
common structure in string theory .
Jets Studies in the Quark-Gluon Plasma.
Under supervision of Dr. Barbara Jacak (2012).
Studies performed with my collaborators at PHENIX,
in the Brookhaven National Laboratory,
PRC 86, 024908 (2012).
We reconstructed jets in heavy ion collisions, with an original method to separate these jets from the underlying,
particularly in central heavy ion reactions, utilizing the HIJING and PYTHIA event generators. This method, extended from
previous work by the ATLAS collaboration, provides a well-defined association of "truth jets" from the fragmentation of hard
partons with "reconstructed jets".
Qubits with Coupled Squids.
Under supervision of Dr. Dima Averin (2011).
We studied the eigenfunctions of many coupled SQUIDs (superconducting quantum interference device)together, and
the possibility of generating some of the quantum gates that are necessary for quantum information. There are many
advantage of using SQUIDs (which are based on superconducting loops containing Josephson junctions) as two-state systems in
quantum computing problems, mainly due its very sensitive magnetometer, capable of measuring extremely subtle magnetic fields.
Equations of State for Dark Matter and Dark Energy as Decaying Interacting Fluids.
Under supervision of Dr. Elcio Abdalla (2008).
We studied the existence of a positive cosmological constant on the Einstein Equations, and its relation to the
De Sitter Space in Quantum Field Theory. We suppose an interaction between Dark Matter and Dark Energy, investigating the influence
of this interaction upon the dynamics of galaxy Clusters and observational constraints from cosmological parameters. The dynamical equilibrium
of collapsed structures is affected by the coupling of Dark Energy and Dark Matter, with a similar effect when the equivalence principle is
violated in the dark sector. We suggest that the virial theorem is distorted by a non-conservation of mass caused by the coupling, with the
Layser-Irvine Equation. A report of the project can be seen here (in Portuguese).
Machine Learning (2014)
Material from the graduate course at Stony Brook University. The source code for the homework is here, with many algorithms in Python/NumPy comparing
Naive-Bayes vs. Logistic Regression, performing Adaboost, and comparing kNN vs. SVM. My theoretical homeworks, from the entire course, is here.
Classifying Complex Networks (2014)
This project is divided in three parts. The code to extract the publicly available databases and to calculate the topological features for the graph databases is here. The code to cleanse and organize the data is here. The code to perform the machine learning for many (supervised and unsupervised) methods is here. All the results and plots are available here. A talk about the project is here. The first draft of the paper is here.
Information Diffusion in Twitter (2011)
A very introductory essay about graphs and information diffusion in social network, under
supervision of Prof. K. Mueller.
Simple examples of high-dimensional space parameterizing each tweet to capture the information diffusion and graph layout.
Algorithms & Python (2013) (e-book)
A comprehensive study on Algorithms, Data Strucutres & and Python, for my own amusement.
The notes can be found here.
Over 100 examples are available in the
repository.
Numerical Methods (2013)
Code and homework for the graduate class taught by
Prof. M. Zingale at Stony Brook University (the codes are
here):
Robotics (2013)
Homework and studies for Prof. A.Berg's class in introduction to robotics (Stony Brook University):
Computational Photography (2013)
Homework and studies for Prof. T. Berg's class
in computational photography (Stony Brook University):
3D Modeling and 3D Printing with Google SketchUp (2013)
Many examples of 3D model of objects tutored by Phil Webster in the
Simons Center for Geometry and Physics.
Non-Linear Least Square Fit applied to the X-Ray Problem (2012)
Five ways of performing a non-linear least square fit for simulations of X-ray bursters atmospheres,
here.
A brief review on X-
ray bursters can be seen
here.
The Ledoux Criterion for Convection in a Star (2012)
Observational Astronomy (2012)
Calibration, combination, and analysis of astrophysical images for photometry and spectroscopy. These are results
from the graduate class taught by Prof. Stan Metchev:
MonCSRF: CSRF defenses for Apache + ModSecurity (2011)
This was a final project for the graduate Computer Security class, taught by Prof. Sekar:
Group Theory for Physicists (2010) (e-book)
This is a 110-pages review I wrote in my first summer of PhD. It is based on classes, homework and readings and there are lots of solved exercises!
Introduction to Quantum Field Theory and Colliders(2010) (e-book)
This is a 120-pages review I wrote in my first year of PhD based on classes, homework, and readings.
Searching for Dark Matter(2010)
Very short presented for Quantum Field Theory II class, with Prof. George Sterman.
The Maxwell-Chern-Simons Theory (2010) and
Field Theory on Photoproduction (2010)
Very short papers presented for the Elementary Particle class, with Prof. Dima Kharzeev.
The SU(5) Group as a GUT (2010)
Very short paper for this nice example of gauge theory.
Colliders (2010)
An undergrad review on how a collider works.
New Physics at LHC (2010)
Another undergrad review of some nice things expected at LHC that time.
The Cosmological Constant (2007) (e-book)
An undergrad review on general relativity and cosmology (in Portuguese).
The Standard Model (2007)
An undergrad review on the standard model (in Portuguese).
Topological Quantum Field Theories (2011)
Notes I took during Prof. Sasha Kirillov's graduate class.
On the study of the Potts model, Tutte and Chromatic Polynomials (2012)
Paper presented for the Statistic Mechanics Class, with Prof. Robert Shrock.
Introduction to Quantum Computing (2010) (e-book)
A (very) incomplete 140-pages review on quantum mechanics and quantum computing. Several solved exercises on quantum mechanics.
Superconductivity (2010) and
Scattering, Diffraction and Radiation (2010)
Two short papers with exercises from Electromagnetism II, with Prof. Zahed.
The DGLAP Equations (2011)
Short paper presented for the Elementary Particle class, with Prof. Dima Kharzeev.
The Photoelectric Effect (2007)
Undergrad laboratory report on the determination of the Planck constant (in Portuguese).
The Millikan Experiment (2007)
Undergrad laboratory report on the determination of the elementary electric charge (in Portuguese).
The H and Na Spectra (2007)
Undergrad laboratory report on the study of the spectra of H and Na (in Portuguese).