
I am currently on the market for a tenuretrack position.
 CV
 Teaching Statement
 Research Statement
 NSF Grant Proposal
Recent and Upcoming Travel
 Texas A&M, 20171103
 UC Davis, 20171115
 UT Austin, 20171207
 UW Madison, 20171215
Video
A talk on the flops paper below, given at the IAS. [video]Papers
 Relative Singular Twisted BondalOrlov.
Math. Res. Lett. (to appear) [pdf]  A note on derived equivalences and birational geometry.
Bull. Lond. Math. Soc. [pdf]  Chopping up derived categories.
Preprint.  A remark on generators of D(X) and flags.
Manuscripta Math.154 (2017), no. 12, 275278. [pdf] 
Derived equivalent CalabiYau 3folds from cubic 4folds.
Math. Ann. 365 (2016), no. 12, 155172, with Richard Thomas. [pdf] 
On the Crepant Resolution Conjecture for DonaldsonThomas invariants.
J. Algebraic Geom. 25 (2016), no. 1, 118. [pdf] 
DonaldsonThomas invariants and flops.
J. Reine Angew. Math. 716 (2016), 103145. [pdf] [erratum] 
Moduli problems in abelian categories and the reconstruction theorem.
Algebr. Geom. 2 (2015), no. 1, 118, 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).
Expository notes
 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 AtiyahGuilleminSternberg theorem.