About me
These days I work with computers. In a previous life I did math research.Short Bio
I grew up in Italy, studied pure math at the university of Pisa, and later earned my PhD from the university of Oxford. My research was in algebraic geometry, and my advisor was Tom Bridgeland.For a about a year I was a Doctoral Prize Fellow at Imperial College London, and afterwards I spent a few years at Rice university as an Instructor and NSF Research Fellow. At the end of my time at Rice, I was lucky enough to receive offers to be a tenure-track professor, but decided to switch fields. For some time I was a Research Investigator at MD Anderson Cancer Center, then a Senior Data Scientist at Walmart NexTech, and now a Software Engineer at
Here is an (outdated) academic CV.
Videos
Papers
Inventiones (to appear, submitted Nov 2018, accepted Feb 2022) with Sjoerd Beentjes, Jørgen Rennemo. [outdated pdf]
Proc. AMS 149 (2021), 907-922, with Roberto Pirisi. [pdf]
Math. Res. Lett. 25 (2018), no. 2, 393--414. [pdf]
Bull. Lond. Math. Soc. 49 (2017), no. 3, 499--504. [pdf]
(expository -- it was meant to appear in a now-defunct proceedings volume) [pdf]
Manuscripta Math.154 (2017), no. 1-2, 275--278. [pdf]
Math. Ann. 365 (2016), no. 1-2, 155-172, with Richard Thomas. [pdf]
J. Algebraic Geom. 25 (2016), no. 1, 1-18. [pdf]
J. Reine Angew. Math. 716 (2016), 103-145. [pdf] [erratum]
Algebr. Geom. 2 (2015), no. 1, 1-18, with Michael Groechenig. [pdf]
Teaching
- Fall 17
MATH 465/565 Lie Theory.
MATH 355 Linear Algebra. - Spring 17
MATH 466/566 Introduction to Derived Categories.
MATH 212 Multivariable Calculus. - Fall 14
MATH 465/565 Introduction to Algebraic Geometry.
MATH 354 Honors Linear Algebra. - Spring 14
MATH 390 Undergraduate Colloquium.
MATH 382 Complex Analysis.
Theses
- In the Hall of the Flop King,
DPhil thesis.
[pdf] This contains some serious mistakes which are addressed in the published papers above. - On a Theorem of Beilinson,
tesi specialistica.
[pdf] An exposition of basics of derived categories and Beilinson's celebrated theorem on D(P^n). - Rivoltare la Sfera,
tesi triennale.
[pdf] A summary of Smale's infamous paper on turning the sphere inside out (in italian).
Not intended to be published
- whatsaVermaModule.
- Compact groups also have representations.
- Sheaves4Knots.
- The fourth homotopy group of the sphere.
- Sheaves, covering spaces, monodromy and an application.
- Points and reconstructions.
- Flops and DT invariants.
- Introduction to derived categories.
- The Atiyah-Guillemin-Sternberg theorem.