Gianni Petrella
Me holding relevant literature.

I am a PhD researcher at the University of Luxembourg, under the supervision of Pieter Belmans.

I am interested in algebraic geometry and representation theory, more specifically in:

  • representations of quivers,
  • moduli spaces,
  • geometric invariant theory,
  • derived categories.
Among other things, I apply machine learning methods to algebraic geometry, and I am interested in computer algebra systems as SageMath and Oscar.

My Alma Mater is the Université Libre de Bruxelles. I also studied at the École Polytéchnique Fédérale de Lausanne, in Switzerland, where I worked on my master thesis under the supervision of Stefano Filipazzi.

I work on QuiverTools, and maintain its Julia version!

Documents

Here is my CV, up to date to September 2025.

Latest blogposts

The Springer GMT Test

Cover page of Algebraic Geometry by Robin Hartshorne If I were a Springer-Verlag Graduate Text in Mathematics, I would be Robin Hartshorne's Algebraic Geometry. My creator studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, he became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the University of California at Berkeley. My siblings include "Residues and Duality" (1966), "Foundations of Projective Geometry (1968), "Ample Subvarieties of Algebraic Varieties" (1970), and numerous research titles. My creator's current research interest is the geometry of projective varieties and vector bundles. He has been a visiting professor at the College de France and at Kyoto University, where he gave lectures in French and in Japanese, respectively. My creator is married to Edie Churchill, educator and psychotherapist, and has two human sons and one daughter. He has travelled widely, speaks several foreign languages, and is an experienced mountain climber. He is also an accomplished musician, playing flute, piano, and traditional Japanese music on the shakuhachi. Which Springer GTM would you be? The Springer GTM Test