I
am an Associate Professor in the Department
of Mathematics of the University
of Pisa. My main interests are in algebraic geometry, more
specifically in moduli theory, often involving algebraic stacks
and/or logarithmic geometry.
Previously I have been a postdoctoral fellow at Imperial
College London, at Simon Fraser
University and the University of
British Columbia in Vancouver, and at the Max
Planck institute for Mathematics in Bonn. I received my PhD
from the Scuola Normale Superiore
of Pisa, supervised by Angelo
Vistoli.
Here are my full CV and my Google
Scholar profile.
My research is in algebraic geometry, mostly
regarding moduli theory. The techniques that I employ often involve
the use of algebraic stacks and logarithmic geometry.
Log geometry (not this kind) is a variant
of algebraic geometry where the objects of study are algebraic
varieties with an "extra structure" (a sheaf of monoids that keeps
track of additional "regular functions" of interest), that typically
encodes either a "boundary" on the variety, or some infinitesimal
information about a family, of which the variety is a fiber. It was
initially developed in the work of Fontaine-Illusie and Kato for
problems related to arithmetic geometry, but afterwards gained
popularity in moduli theory (and beyond) as well, mostly as a
powerful tool for controlling degerations of smooth things.
Publications:
Preprints:
Conference proceedings:
Other material:
Some notes and slides of talks, posters (warning: the notes are informal, are often missing references and attributions, and could contain mistakes/inaccuracies):
Theses:
Nel 2024 insegno
Past
Future
Co-authors: Angelo Vistoli Fabio Tonini Flavia Poma Nicolò Sibilla Sarah Scherotzke David Carchedi Martin Ulirsch Dhruv Ranganathan Tyler Foster Roberto Pirisi Clemens Koppensteiner Piotr Achinger
Useful:
Pisa math department -
geometry
group
Imperial math
department - geometry
group
SFU math department - algebraic
and arithmetic geometry group
UBC math department - weekly
AG seminar
Max Planck Institute for
Mathematics
arXiv
Ravi Vakil's upcoming
conferences page
mathoverflow for math
research questions
numdam EGAs and more
Grothendieck circle
Terence Tao's blog
nlab
the stacks project
Non-useful:
Vancouver
(when it's not like this),
UBC campus,
Math dept,
SFU campus
I like hiking (1, 2,
3), skiing,
iceskating, travelling (1, 2,
3), videogames,
tvseries, metal
music and good food.
ways to waste your time: reddit,
9gag, phdcomics,
xkcd, abstuse
goose, lego grad
student, spinoza, mangastream
(RIP), kongregate, cookie,
agar.io