For a detailed description of my interests, please download my statement of interests. Here if follows just a description of the school reports that I consider original and relevant among those I did during these years.

Scientific Computing

Since my Bachelor, my main specialization is Scientific Computing. I took several courses from the KTH M.Sc. in Scientific Computing, starting to work first in Matlab and then in C++ with MPI. My studies were about numerical methods from PDEs, here there are some examples:

"A red-green refining algorithm for 2D meshes based on a posteriori gradient estimation using Matlab", FEM report (KTH), 2005

"A parallel multigrid solver for a 2D diffusion-reaction problem", High Performance Computing summer school (KTH), 2006

Computational Fluid Dynamics

In KTH I had the opportunity to work with Fluent during a project course. In particular, we decided to couple the Matlab Optimization toolbox with Fluent in order to automate the the shape optimization of a bus, based onto the computations performed by Fluent. In our implementation, Matlab was able to read the computed drag and to automatically draw a new shape, generate the mesh, set up a simulation and iterate the procedure. Here it follows the report:

"Shape optimization of a bus coupling Fluent and Matlab Optimization toolbox", Applied CFD project course (KTH), 2006

Financial Maths

Since my Bachelor thesis, I began to be fascinated by Inverse Problems and Optimization. In KTH I had the opportunity to attend a course about Stochastic Equations in which I could pursue my interest, in particular I made a report about volatility identification reviewing a method proposed by Pironneau and Achdou:

"Calibration of Local Volatility using an Inverse Problem on Dupire's equation", Mathematical Models report (KTH), 2006

Quantum Physics

My interest in modern physics started with my High School final work and is mainly theoretical/philosophical, in particular about Statistical Mechanics. In KTH I made a report about Entropy and Information Theory using some recent interesting papers by Johan Hoffman, in which a new point of view about Thermodynamics is described:

"Entropy and Information Transference", Quantum Physics project course (KTH), 2007