Hello!

My name is Alex (Alessandra) Tullini, I am a PhD student at the Mathematics Department of the University of Münster, in the General Relativity group. I am supervised by Prof. Gustav Holzegel.

I am interested in black hole stability problems, mainly in the asymptotically Anti-de Sitter case.

• I obtained my bachelor's degree at the University of Pisa; this is my Bachelor's Thesis.

• I obtained my master's degree at the University of Pisa; this is my Master's Thesis.

• I spent one semester of my master's degree programme at ETH Zürich, where I took some exams and worked on Fill-in problems and Positive Mass Theorems (a detailed analysis of this article).

Some of the many lecture notes I took over the years.

• Theoretical Cosmology notes from the course held by Prof. Mayer and Prof. Yoo at ETH/UZH, Spring 2021. There are very, very many typos and imprecisions; at some point, I will fix everything.

• Full introduction to Fourier analysis, with basic notions about harmonic maps, a.k.a. "Analisi III" course by Prof. G. Alberti; handwritten in italian.

• Algebra II notes in italian, from the homonymous course I took in 2016/2017; mostly about rings and modules. It was only my second year of bachelor studies, be kind with me.

Want to learn about Sobolev Spaces and Elliptic Regularity Theory? Don't read Brezis! Open this link, look at the bottom left in the "In English" section and click on "Ist. An. Mat. 2021/22". Make every computation: it will hurt, but it will be worth it.
Are you wondering who Prof. Massimo Gobbino is?  Well, he certainly is the best lecturer I have ever had.
(Of course I suggest you read Brezis' book too, but I promise these are the best lecture notes ever.)