My ArXiv profile is here, and my Google Scholar profile is here.

- "Contractions and Deformations" (with W. Donovan) pdf.
- "Twists and Braids for General 3-fold Flops" (with W. Donovan) pdf.
- "Aspects of the Homological Minimal Model Program" pdf.
- "Noncommutative Deformations and Flops" (with W. Donovan), to appear Duke. pdf.
- "Reduction of triangulated categories and Maximal Modification Algebras for cA_n singularities" (with O. Iyama), to appear Crelle. pdf.
- "Lectures on Noncommutative Resolutions", to appear CUP. pdf.
- "Frobenius categories, Gorenstein algebras and rational surface singularities" (with O. Iyama, M. Kalck and D. Yang), Compos. Math.
**151**(2015), no. 3, 502--534. pdf. - "Singular Derived Categories of Q-factorial terminalizations and Maximal Modification Algebras" (with O. Iyama), Adv. Math.
**261**(2014), 85--121. pdf - "On the Noncommutative Bondal--Orlov Conjecture" (with O. Iyama), J. Reine Angew. Math.
**683**(2013), 119--128. pdf - "Maximal Modifications and Auslander-Reiten Duality for Non-isolated Singularities" (with O. Iyama), Invent. Math.
**197**(2014), no. 3, 521--586. pdf - "A New Triangulated Categrory for Rational Surface Singularities" (with O. Iyama), Illinois J. Math.
**55**(2011), no. 1, 325--341. pdf - "Reconstruction Algebras of Type D (II)", Hokkaido Math. J.
**42**(2013), no. 2, 293--329. pdf - "Reconstruction Algebras of Type D (I)", J. Algebra
**356**(2012) 158--194. pdf - "The GL(2,C) McKay Correspondence", Math. Ann.
**350**, no. 3 (2011), 631--659. pdf - "The Classification of Special Cohen-Macaulay Modules" (with O. Iyama), Math. Z.
**265**(2010), no. 1, 41--83. link - "Superpotentials and Higher Order Derivations" (with R. Bocklandt and T. Schedler), J. Pure Appl. Algebra
**214**(2010), no. 9, 1501--1522. link - "Reconstruction Algebras of Type A", Trans. Amer. Math. Soc.
**363**(2011), 3101--3132. pdf

My Utah talk on the Homological MMP is here.

You can find videos of me talking about some older work on 3-folds here, here and here.

Much less recent videos on my work on surfaces can be found here and here.

The following are the notes from a series of four lectures I gave in Nagoya in 2008. They contain some of the results from the above papers, but are much more informal and so are accessible to a more general audience.

Lecture 1, Lecture 2, Lecture 3, Lecture 4

My lectures on Noncommutative Resolutions can be found here.

The (very) elementary proof that the Somos 5 sequence is integer valued is here.