Congratulations Dr. Gianni Petrella!
I want to congratulate Gianni Petrella, for his PhD defense today at the University of Luxembourg, and the wonderful thesis Windows, walls and invariants of quiver moduli that he has written. The thesis will be available online at some point, but you can also check out the papers it builds on:
- Rigidity and Schofield's partial tilting conjecture for quiver moduli, a joint paper with Ana-Maria Brecan, Hans Franzen, Markus Reineke, and myself, published in the Journal de l'École Polytechnique
- Partial semiorthogonal decompositions for quiver moduli, his solo paper, published in the Journal of Symbolic Computation
- Finding the walls for quiver moduli, a joint paper with Hans Franzen and Rachel Webb, published in the Journal of Pure and Applied Algebra
- The QuiverTools package for SageMath and Julia, a joint paper with Hans Franzen and myself, published in the Journal of Software for Algebra and Geometry
- Brauer groups of resolved quiver moduli via gerbes, a joint paper with Sebastian Torres and myself, which will appear on the arXiv very soon
Gianni was my PhD student (although FNR regulations prevented an official recognition of this fact) and I have greatly enjoyed our mathematical conversations. I look forward to our future ones, as he will take up a postdoc at the University of Amsterdam, working with Raf Bocklandt. Congratulations!