I'm mostly interested in the mathematics behind the notions of "information" and "complexity".
One of the main questions I try to address is: if a complex system has information content, how is the information subdivided between the different parts and their interactions?
Most questions of this sort can be formulated in the framework of information theory, and the quantity describing information mathematically is Shannon's entropy. However, many other areas of math are involved, like probability theory, differential geometry, order theory, and combinatorics.
In particular, I try to adopt a conceptual point of view in my work, with insights from category theory, abstract algebra, and related fields.
I run a platform for personal wikis with LaTeX, at the link cooperad.org .
I was born and raised in Bergamo, a small town in northern Italy.
I did my bachelor in Physics at the University of Milan-Bicocca (Milan, Italy), and graduated in 2011 with a thesis on classical electrodynamics, supervised by Prof. Diego Noja.
I did my master in Physics between University of Milan and K.U. Leuven (Belgium), and graduated in 2013 with a thesis on the mathematics of gauge theory, supervised by Prof. Parravicini and Prof. Molinari.
Presently I am a PhD student at the MPI in Leipzig, and my interests have switched from Physics to Mathematics. I have been here since 2014.