I took my Bachelor and Master Degrees in Mathematics at the University of Pisa, graduating with highest grade (110/110 cum laude) on the 19th of September 2014. During the Bachelor I acquired good general knowledge of all main branches of maths, such as Linear Algebra, Real and Complex Analysis, Dynamical Systems, Abstract Algebra, Geometry, Topology, Numerical Analysis, Probability. My Bachelor dissertation dealt with a geometrical and analytical approach the the fourth Hilbert's problem.
During my Master, I focused more on applied maths, gaining expertise in Numerical Analysis and Stochastic Calculus. Developing the Master's dissertation required eight months of very intense work, but the efforts have later been rewarded (one article has been published out of it, and another one is currently in the process of being written). The dissertation dealt with stochastic modelling of pharmacokinetic processes, through the use of non-Gaussian noises. It had both theoretical (existence and uniqueness of SDEs) and applied components.
During my Master, I spent five month in Aachen (Germany) as part of the Erasmus project. Finally, after the degree, I worked for one year in a stimulating research environment with two phycisists, carrying out statistical analyses of leukemia patient data, provided by the hospitals of Pisa and Torino.
I am generally interested in the theory and applications of Probability, Stochastic Processes and Stochastic Differential Equations.
My PhD is supervised by Dr Jochen Voss (School of Maths) and co-supervised by Prof Alan Haywoof and Dr Aisling Dolan (School of Earth and Environment). The project has applied aims and deals with statistical emulation. Emulation consists in creating cheap probabilistic surrogates of expensive computer models, by conditioning Gaussian Random Fields to the known simulator's outputs. So far, I have built an emulator for the surface temperature output of the climate model HadCM3: the aim is to understand the model dynamics, assess the uncertainty of the predicted outputs and compare the model to geological data.
At the same time, in collaboration with Dr Louise Sime from the University of Cambridge, we work on another problem involving emulation for a different output of the model HadCM3: the problem is the one of reconstructing Greenland Ice Sheet (GIS) shapes during the Last Interglacial. This has required the mathematical generation of a number of plausible synthetic GIS shapes, the building of an emulator, and is soon (as September 2017) going to involve a comparison between the emulator's predictions and the available proxy data, in order to identify plausible shapes for the GIS during the Last Interglacial.
More on my research and publications on Researchgate.
- Bachelor and Master in Mathematics, University of Pisa