Photo of Alastair Craw
  • 4 WEST 3.49

Accepting PhD Students

20022018
If you made any changes in Pure these will be visible here soon.

Research Output 2002 2018

2018

Birational geometry of symplectic quotient singularities

Bellamy, G. & Craw, A., 2018, (Submitted) In : arXiv. 49 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Research output: Contribution to journalArticle

Open Access
Linear Series
Morphism
Moduli Space
Algebra
Module

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.

Research output: Contribution to journalArticle

Open Access
Flag Variety
Tilting
Quiver
Bundle
Algebra
2017
2 Citations (Scopus)
74 Downloads (Pure)

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.

Research output: Contribution to journalArticle

Open Access
File
Derived Category
Algebra
McKay Correspondence
Equivalence
Subgroup
2 Citations (Scopus)
88 Downloads (Pure)

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.

Research output: Contribution to journalArticle

Open Access
File
Compact Support
Moduli Space
Divisor
T-structure
bundles
2015
56 Downloads (Pure)

Cohomology of wheels on toric varieties

Craw, A. & Quintero Velez, A., 2015, In : Hokkaido Mathematical Journal. 44, 1, p. 47-79 33 p.

Research output: Contribution to journalArticle

Open Access
File
Toric Varieties
Wheel
Cohomology
Diagram
Syzygy
5 Citations (Scopus)
86 Downloads (Pure)

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

Research output: Contribution to journalArticle

Open Access
File
Dimer
Sheaves
Fourier-Mukai Transform
Derived Equivalence
Noncommutative Algebra
2013
1 Citation (Scopus)

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.

Research output: Contribution to journalArticle

Quiver Representation
Quiver
Modulus
Line Bundle
Moduli Space
2012
5 Citations (Scopus)

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

Research output: Contribution to journalArticle

Algebra
Dimer
Cell Complex
Noncommutative Algebra
Tilting
2011
8 Citations (Scopus)

Quiver flag varieties and multigraded linear series

Craw, A., 15 Feb 2011, In : Duke Mathematical Journal. 156, 3, p. 469-500 32 p.

Research output: Contribution to journalArticle

Linear Series
Flag Variety
Quiver
Bundle
Coherent Sheaf
6 Citations (Scopus)

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.

Research output: Contribution to journalArticle

McKay Correspondence
Derived Category
Equivalence
Modulus
Derived Equivalence
2009

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.

Research output: Book/ReportBook

string theory
mirrors
symmetry
geometry
mathematics
2008
18 Citations (Scopus)

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

Research output: Contribution to journalArticle

Quiver Representation
Toric Varieties
Quiver
Moduli Space
Closed
2007
8 Citations (Scopus)

Fiber fans and toric quotients

Craw, A. & MacLagan, D., Feb 2007, In : Discrete & Computational Geometry. 37, 2, p. 251-266

Research output: Contribution to journalArticle

15 Citations (Scopus)

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

Research output: Contribution to journalArticle

15 Citations (Scopus)

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

Research output: Contribution to journalArticle

Quiver Representation
Hilbert Scheme
Gröbner Basis
Moduli Space
Modulus
2006
2005
11 Citations (Scopus)
65 Downloads (Pure)

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

Research output: Contribution to journalArticle

File
McKay Correspondence
Bundle
Picard Group
Hilbert Scheme
K-theory
2004

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

Research output: Chapter in Book/Report/Conference proceedingChapter

42 Citations (Scopus)

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

Research output: Contribution to journalArticle

Derived Category
Moduli Space
Quotient
Equivalence
Fourier-Mukai Transform
2002

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

Research output: Chapter in Book/Report/Conference proceedingChapter

Hilbert Scheme
Abelian group
Calculate
Equilateral triangle
Continued fraction