Alastair Craw
Reader, Department of Mathematical Sciences
EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
EmailA.Craw@bath.ac.uk
4 WEST 3.49
Birational geometry of symplectic quotient singularities
Bellamy, G. & Craw, A., 2018, (Submitted) In : arXiv. 49 p.
Multigraded linear series and recollement
Craw, A., Ito, Y. & Karmazyn, J., 1 Jun 2018, In : Mathematische Zeitschrift. 289, 1-2, p. 535-565 31 p.
Linear Series
Morphism
Moduli Space
Reconstructing toric quiver flag varieties from a tilting bundle
Craw, A. & Green, J., 1 Mar 2018, In : European Journal of Mathematics. 4, 1, p. 185–199 15 p.
Flag Variety
Derived Reid's recipe for abelian subgroups of SL3(ℂ)
Cautis, S., Craw, A. & Logvinenko, T., 1 Jun 2017, In : Journal Fur Die Reine Und Angewandte Mathematik. 727, p. 1-48 48 p.
Derived Category
McKay Correspondence
Nef divisors for moduli spaces of complexes with compact support
Bayer, A., Craw, A. & Zhang, Z., Apr 2017, In : Selecta Mathematica. 23, 2, p. 1507-1561 55 p.
Compact Support
Divisor
T-structure
Cohomology of wheels on toric varieties
Craw, A. & Quintero Velez, A., 2015, In : Hokkaido Mathematical Journal. 44, 1, p. 47-79 33 p.
Toric Varieties
Cohomology
Geometric Reid's recipe for dimer models
Bocklandt, R., Craw, A. & Quintero Vélez, A., Apr 2015, In : Mathematische Annalen. 361, 3-4, p. 689-723
Dimer
Fourier-Mukai Transform
Derived Equivalence
Noncommutative Algebra
Mori Dream Spaces as fine moduli of quiver representations
Craw, A. & Winn, D., Jan 2013, In : Journal of Pure and Applied Algebra. 217, 1, p. 172-189 18 p.
Quiver Representation
Line Bundle
Cellular resolutions of noncommutative toric algebras from superpotentials
Craw, A. & Quintero Velez, A., 15 Feb 2012, In : Advances in Mathematics. 229, 3, p. 1516-1554
Cell Complex
Noncommutative toric geometry
Craw, A., 2012, European Mathematical Society Publishing House.
Quiver flag varieties and multigraded linear series
Craw, A., 15 Feb 2011, In : Duke Mathematical Journal. 156, 3, p. 469-500 32 p.
Coherent Sheaf
The Special McKay correspondence as an equivalence of derived categories
Craw, A., Sep 2011, In : The Quarterly Journal of Mathematics. 62, 3, p. 573-591 19 p.
Dirchlet branes and mirror symmetry
Aspinwall, P., Bridgeland, T., Craw, A., Douglas, M., Gross, M., Kapustin, A., Moore, G., Segal, G., Szendroi, B. & Wilson, P., 4 Nov 2009, American Mathematical Society. 681 p.
Projective toric varieties as fine moduli spaces of quiver representations
Craw, A. & G. Smith, G., Dec 2008, In : American Journal of Mathematics. 130, 6, p. 1509-1534
Fiber fans and toric quotients
Craw, A. & MacLagan, D., Feb 2007, In : Discrete & Computational Geometry. 37, 2, p. 251-266
Moduli of McKay quiver representations I: the coherent component
Craw, A., Maclagan, D. & R. Thomas, R., 2007, In : Proceedings of the London Mathematical Society. 95, 1, p. 179-198
Moduli of McKay quiver representations II: Gröbner basis techniques
Craw, A., Maclagan, D. & R. Thomas, R., 15 Oct 2007, In : Journal of Algebra. 316, 2, p. 514-535
Hilbert Scheme
Gröbner Basis
Toric varieties are fine moduli spaces
Craw, A., 2006, Mathematisches Forschungsinstitut Oberwolfach.
An explicit construction of the McKay correspondence for A-Hilb C3
Craw, A., 15 Mar 2005, In : Journal of Algebra. 285, 2, p. 682-705
Picard Group
K-theory
An introduction to motivic integration
Craw, A., 2004, Strings and Geometry. Douglas, M., Gauntlett, J. & Gross, M. (eds.). AMS and Clay Mathematics Institute, Vol. 3. p. 203-225
Flops of G-Hilb and equivalences of derived categories by variation of GIT quotient
Craw, A. & Ishii, A., 2004, In : Duke Mathematical Journal. 124, 2, p. 259-307
How to calculate A-Hilb(C^3)
Craw, A. & Reid, M., 2002, Geometry of toric varieties: S'eminaires et Congr`es. Vol. 6. p. 129-154
Continued fraction
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