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*Clay Mathematics Monographs***4**. AMS, Providence, RI, 2009. x+681 pp.

- (with Y. Ito and J. Karmazyn) Multigraded linear series and recollement, preprint.

- (with S. Cautis and T. Logvinenko) Derived Reid's recipe for
abelian subgroups of SL(3,C),
*J. Reine Angew. Math.***727**(2017), 1-48.

- (with A. Bayer and Z. Zhang) Nef divisors for moduli spaces of complexes with compact support,
*Selecta Math. (N.S.)***23**(2017), no. 2, 1507-1561.

- (with R. Bocklandt and A. Quintero Vélez) Geometric Reid's recipe for dimer models,
*Math. Ann.***361**(2015), 689-723.

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*Hokkaido Math. J.***44**(2015), 47-79.

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*J. Pure Appl. Algebra***217**(2013), 172-189.

- (with A. Quintero Vélez) Cellular resolutions of noncommutative toric algebras from superpotentials,
*Adv. Math.***229**(2012), no. 3., 1516-1554.

- Quiver flag varieties and multigraded linear series,
*Duke Math. J.***156**(2011), no. 3., 469-500.

- The Special McKay correspondence as an equivalence of derived categories,
*Q. J. Math.***62**(2011), 573-591.

- (with G. Smith) Projective toric varieties as fine moduli spaces of quiver representations,
*Amer. J. Math.***130**(2008), no. 6, 1509-1534.

- (with D. Maclagan and R. Thomas) Moduli of McKay quiver representations II: Grobner basis techniques,
*J. Algebra***316**(2007), no. 2, 514-535.

- (with D. Maclagan) Fiber fans and toric quotients,
*Discrete Comput. Geom.***37**(2007), no. 2, 251-266.

- (with D. Maclagan and R. Thomas) Moduli of McKay quiver representations I: the coherent component,
*Proc. London Math. Soc.***95**(2007), no. 1, 179-198.

- An explicit construction of the McKay correspondence for A-Hilb C^3,
*J. Algebra***285**(2005), no. 2, 682-705.

- (with A. Ishii) Flops of G-Hilb and
equivalences of derived categories by variation of GIT quotient,
*Duke Math. J.***124**(2004), no. 2, 259-307.

- An introduction to motivic integration, In
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*University of Warwick Ph.D thesis*, xviii + 134 pp, June 2001.

- Noncommutative
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- Quiver representations in toric geometry, Preprint arXiv:0807.2191 produced following summer schools in 2007.

- The Kodaira vanishing theorem via Hodge theory, These notes accompanied a series of lectures at the University of Warwick in 1998.