- CV
- Texas Algebraic Geometry Symposium, 21-23 April 2017
## Papers

- Relative Singular Twisted Bondal-Orlov.
*Math. Res. Lett.*(to appear) - A note on derived equivalences and birational geometry.
*Preprint.* - Chopping up derived categories.
*Preprint.* - A remark on generators of D(X) and flags.
*Manuscripta Math.* -
Derived equivalent Calabi-Yau 3-folds from cubic 4-folds, with Richard Thomas.

*Math. Ann.*365 (2016), no. 1-2, 155-172. -
On the Crepant Resolution Conjecture for Donaldson--Thomas invariants.

*J. Algebraic Geom.*25 (2016), no. 1, 1-18. -
Donaldson-Thomas invariants and flops.

*J. Reine Angew. Math.*716 (2016), 103-145. Erratum. -
Moduli problems in abelian categories and the reconstruction theorem, with Michael Groechenig.

*Algebr. Geom.*2 (2015), no. 1, 1-18.

## Teaching

- Spring 17

MATH 566 Topics in Algebra II: derived categories.

MATH 212 Multivariable Calculus. - Fall 14

MATH 465 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).

## Expository notes

- Sheaves for knots.
- 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.