Papers and Preprints:

11. "Frobenius categories, Gorenstein algebras and rational surface singularities" (with O. Iyama, M. Kalck and D. Yang) pdf
10. "Singular Derived Categories of Q-factorial terminalizations and Maximal Modification Algebras" (with O. Iyama) pdf
9. "On the Noncommutative Bondal--Orlov Conjecture" (with O. Iyama), to appear in J. Reine Angew. Math. pdf
8. "Auslander-Reiten Duality and Maximal Modifications for Non-isolated Singularities" (with O. Iyama) pdf
7. "A New Triangulated Categrory for Rational Surface Singularities" (with O. Iyama), Illinois J. Math. 55 (2011), no. 1, 325--341 pdf
6. "Reconstruction Algebras of Type D (II)", to appear Hokkaido Math. J. pdf
5. "Reconstruction Algebras of Type D (I)", J. Algebra 356 (2012) 158--194. pdf
4. "The GL(2,C) McKay Correspondence", Math. Ann. 350, no. 3 (2011), 631--659. pdf
3. "The Classification of Special Cohen-Macaulay Modules" (with O. Iyama), Math. Z. 265 (2010), no. 1, 41--83. link
2. "Superpotentials and Higher Order Derivations" (with R. Bocklandt and T. Schedler), J. Pure Appl. Algebra 214 (2010), no. 9, 1501--1522. link
1. "Reconstruction Algebras of Type A", Trans. Amer. Math. Soc. 363 (2011), 3101--3132. pdf

You can find videos of me talking about my recent work on 3-folds here, here and here.
Less recent videos on my work on surfaces can be found here and here.

Some lecture Notes:
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.