In this page you can find the most of the notes I wrote during my Ph.D. in Scuola Normale, my Master degree in Pisa University and other activities (summer schools, conferences, etc).
Analysis of sublaplacians on Lie groups. Course held by prof. Fulvio Ricci (.pdf file · .tex files)
Calculus of Variations. Course held by prof. Giovanni Alberti (.pdf file · .tex files)
Optimal Transport: theory and applications I. Course held by prof. Luigi Ambrosio (.pdf file · .tex files)
Optimal Transport: theory and applications II. Course held by prof. Luigi Ambrosio (.pdf handwritten) - some of the lectures are currently unavailable.
Riemannian Geometry. Course held by prof. Andrea Malchiodi (.pdf handwritten) - only the first 1/3 of the course.
Variational methods. Course held by prof. Andrea Malchiodi (.pdf file · .tex files)
Elements of Algebraic Topology. Course held by prof. Riccardo Benedetti (.pdf file · .tex files) - the notes only cover the first few lectures (work in progress)
Elements of Complex Analysis. Course held by prof. Marco Abate (.pdf file · .tex files) - the notes only cover the first few lectures (work in progress)
Group Theory. Course held by prof. Kenichi Konishi (.pdf file · .tex files)
Optimization Theory and Methods. Course held by prof. Giancarlo Bigi (.pdf file · .tex files) and the seminar (.pdf file · .tex files) for my final exam.
Advanced Analysis. Course held by prof. Emanuele Paolini (.pdf file · .tex files) and the seminar (.pdf file · .tex filex) for my final exam.
Algebraic Geometry. Course held by prof. Marco Franciosi (.pdf file · .tex files)
Elliptic Equations. Course held by prof. Antonio Tarsia (.pdf file · .tex files) - the notes only cover the first half of the course; the "official" ones can be found here in Italian.
Institutions of Analysis. Course held by prof. Pietro Majer (.pdf file · .tex files)
Geometric Measure Theory. Course held by prof. Giovanni Alberti (.pdf file · .tex files)
Topological Methods in Global Analysis. Course held by prof. Antonio Marino (.pdf file · .tex files)
Recent progress in Regularity Theory. Course held by prof. Giuseppe Mingione (.pdf handwritten) - the latex version will be ready soon.
Quantitative stochastic homogeneization. Course held by Prof. Tuomo Kuusi (.pdf handwritten) - the "official" book of the course can be found here.
Optimal Mass Transportation. Course held by Prof. Zoltán Balogh (.pdf file · .tex files)
Lectures on Optimal Entropic Transport. Course held by Prof. Christian Leonárd (.pdf handwritten) - the latex version will be available soon.
Dispersive Estimates and Applications. Course held by Prof. Pietro D'Ancona (.pdf handwritten)