MathematicalPhysics

Born in Giulianova, Italy • Birth year 1987 • Studied Mathematics at Sapienza University of Rome, Italy • PhD in Mathematics from Sapienza University of Rome and École Polytechnique in Paris • Lives in Zürich, Switzerland • Associate Professor of Mathematics at ETH Zürich

I was born in a small town on the Adriatic coast, Giulianova (Italy), where I lived with my family until the end of high school. As a child I was very curious and I loved reading; at school I enjoyed many subjects, without feeling particularly drawn to mathematics. Outside school, however, my real passion was figure skating, and for years I was completely absorbed by sport.

During high school, while I was changing my mind many times about what I wanted to study at university (from humanities to engineering to medicine), I also had a bad injury that made me stop figure skating, and this forced me to think seriously about what I could do if I could no longer be an athlete. Around the same time, at the beginning of high school, I encountered my first proofs in Euclidean geometry, and the very concept of proof fascinated me immediately.

Then, in my last year of high school, a teacher lent me the books by Henri Poincaré on non-Euclidean geometry, and that was decisive for me, because it made mathematics feel much larger than the standard school programme; it showed me that one can develop concepts with strong internal coherence and genuine beauty even when they are not tied to something directly visible, and study them for their own sake, not because of immediate utility.

(…) I became truly passionate about algebra, especially representation theory, because I was attracted by the beauty of symmetry and by the feeling that, once you find the right structure, complicated objects become understandable

Long story made short, I moved to Rome and started a Bachelor in Mathematics at Sapienza University, and it is there that I became truly passionate about algebra, especially representation theory, because I was attracted by the beauty of symmetry and by the feeling that, once you find the right structure, complicated objects become understandable. During my Bachelor and Master I specialised in algebra, although at the same time I was also fascinated by mathematical physics, which remained, for a while, a parallel interest rather than my main direction.

Towards the end of my Master, I decided to apply for a PhD in a different area, namely kinetic theory and PDEs, and in November 2012 I started a joint PhD between Sapienza University of Rome and École Polytechnique (Paris). Since I had to adapt quickly, both mathematically and personally, I remember that period as intense: you learn new tools, you learn a new language, and you also live with the constant uncertainty that comes with academic transitions, where the next step is never fully guaranteed.

(…) what I like in [Vlasov-Poisson] questions is the interaction between several scales: you start from a microscopic description (many particles), and you try to understand what kind of macroscopic behaviour can emerge, and why

The PhD became even more demanding because I changed topic between the first and the second year, which meant that I started the thesis “for real” only in autumn 2013, while I defended in December 2015. In spite of the stress, I was also lucky, because I ended up working on problems that genuinely interested me, such as quantization of measures and, later, quasineutral limits for the Vlasov-Poisson equation. Even if the technical details are not the point of this story, what I like in these questions is the interaction between several scales: you start from a microscopic description (many particles), and you try to understand what kind of macroscopic behaviour can emerge, and why.

After the PhD my path continued through several moves, and the places I studied and worked in have shaped me in very concrete ways: Paris during the PhD, then Cambridge, then Durham, and finally Zürich, where I am now based at ETH. Before each move there is the application phase, with deadlines and interviews, and with the need to accept that sometimes things simply do not work out; in that period you often do not know in which country, city, or department you will end up next. Then, once you move, the relocation itself is a restart: you build a new routine, you make new friendships, you try to integrate into a new department, and you adjust to a different academic culture. At the same time, I have very fond memories of all the departments where I have worked, and I have kept meaningful contacts in each of those places.

In mathematics, being wrong is normal, because it is part of the creative process, and it is often the only way to understand what is really going on

At times, I also experienced environments that were highly competitive and not particularly welcoming, and, as a woman, I sometimes had the feeling that belonging was conditional; over time I learned not to use that atmosphere as a measure of my value, and to focus instead on good mathematics and collaboration.

Over the years I have also learned something very simple, which I now repeat often to students: in mathematics, being wrong is normal, because it is part of the creative process, and it is often the only way to understand what is really going on. For the same reason, I do not think that speed is a good proxy for depth. What matters more, at least for me, is steady work, genuine curiosity, and the habit of writing and explaining with care, trying to make the argument readable rather than to impress.

(…) I care a lot about creating an atmosphere where asking questions feels natural rather than embarrassing

What I love most about my job is teaching and, more broadly, supporting students and postdocs in their path. I enjoy the moment in which something difficult becomes understandable, and I care a lot about creating an atmosphere where asking questions feels natural rather than embarrassing. When students write to me again after years to tell me about their next steps and their achievements, I feel genuinely fulfilled.

Alongside teaching and mentoring, I also like the research side in a very concrete way: choosing a problem and trying to understand it seriously, reading beautiful mathematics done by others, and writing with care in a way that I would still be happy to read myself a year later. I also enjoy moving between topics and borrowing techniques from different areas, because this often helps me look at a familiar question from a new angle.

Looking back, my path has not been linear, and I changed direction more than once; however, what has stayed constant is curiosity, even when the topics and the places were changing. This is also what I like most about mathematics: there is room for many different trajectories, as long as you keep following questions that genuinely interest you.

Published on February 25, 2026.

Photo credit: Giulia Marthaler Fotografie on behalf of ETH