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## Craw, Alastair

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 Author ID: craw.alastair Published as: Craw, Alastair External Links: MGP
 Documents Indexed: 22 Publications since 2002, including 1 Book
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#### Co-Authors

 4 single-authored 4 Quintero Vélez, Alexander 3 Maclagan, Diane 2 Bocklandt, Raf 2 Thomas, Rekha R. 1 Amador, Jesus Tapia 1 Aspinwall, S. 1 Bayer, Arend 1 Bellamy, Gwyn 1 Bridgeland, Tom 1 Cautis, Sabin 1 Douglas, Michael R. 1 Green, James C. 1 Gross, Mark 1 Heuberger, Liana 1 Ishii, Akira 1 Ito, Yukari 1 Kapustin, Anton 1 Karmazyn, Joseph 1 Logvinenko, Timothy 1 Moore, Gregory Winthrop 1 Reid, Miles 1 Segal, Graeme B. 1 Smith, Gregory G. 1 Szendrői, Balázs 1 Wilson, Pelham Mark Hedley 1 Winn, Dorothy 1 Zhang, Ziyu
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#### Serials

 2 Duke Mathematical Journal 2 Journal of Algebra 2 Mathematische Annalen 1 Advances in Mathematics 1 American Journal of Mathematics 1 Hokkaido Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 Discrete & Computational Geometry 1 Selecta Mathematica. New Series 1 The Quarterly Journal of Mathematics 1 Clay Mathematics Monographs 1 European Journal of Mathematics 1 Épijournal de Géométrie Algébrique. EPIGA
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#### Fields

 22 Algebraic geometry (14-XX) 12 Associative rings and algebras (16-XX) 8 Category theory; homological algebra (18-XX) 2 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 209 times in 143 Documents Cited by Year
Dirichlet branes and mirror symmetry. Zbl 1188.14026
Aspinwall, S.; Bridgeland, Tom; Craw, Alastair; Douglas, Michael R.; Gross, Mark; Kapustin, Anton; Moore, Gregory W.; Segal, Graeme; Szendrői, Balázs; Wilson, P. M. H.
2009
Flops of $$G$$-Hilb and equivalences of derived categories by variation of GIT quotient. Zbl 1082.14009
Craw, Alastair; Ishii, Akira
2004
How to calculate $$A$$-Hilb $$\mathbb{C}^3$$. Zbl 1080.14502
Craw, Alastair; Reid, Miles
2002
Projective toric varieties as fine moduli spaces of quiver representations. Zbl 1183.14066
Craw, Alastair; Smith, Gregory G.
2008
An explicit construction of the McKay correspondence for $$A$$-Hilb $$\mathbb C^3$$. Zbl 1073.14008
Craw, Alastair
2005
Moduli of McKay quiver representations. I: The coherent component. Zbl 1140.14046
Craw, Alastair; Maclagan, Diane; Thomas, Rekha R.
2007
Moduli of McKay quiver representations. II: Gröbner basis techniques. Zbl 1161.14038
Craw, Alastair; Maclagan, Diane; Thomas, Rekha R.
2007
An introduction to motivic integration. Zbl 1156.14307
Craw, Alastair
2005
Fiber fans and toric quotients. Zbl 1147.14028
Craw, Alastair; Maclagan, Diane
2007
Geometric Reid’s recipe for dimer models. Zbl 1331.14022
Bocklandt, Raf; Craw, Alastair; Quintero Vélez, Alexander
2015
Cellular resolutions of noncommutative toric algebras from superpotentials. Zbl 1280.16023
Craw, Alastair; Quintero Vélez, Alexander
2012
The special McKay correspondence as an equivalence of derived categories. Zbl 1231.14010
Craw, Alastair
2011
Quiver flag varieties and multigraded linear series. Zbl 1213.14026
Craw, Alastair
2011
Nef divisors for moduli spaces of complexes with compact support. Zbl 1367.14004
Bayer, Arend; Craw, Alastair; Zhang, Ziyu
2017
Multigraded linear series and recollement. Zbl 1396.14005
Craw, Alastair; Ito, Yukari; Karmazyn, Joseph
2018
Derived Reid’s recipe for abelian subgroups of $$\mathrm{SL}_3(\mathbb{C})$$. Zbl 1425.14013
Cautis, Sabin; Craw, Alastair; Logvinenko, Timothy
2017
Cohomology of wheels on toric varieties. Zbl 1337.14042
Craw, Alastair; Quintero Vélez, Alexander
2015
Mori dream spaces as fine moduli of quiver representations. Zbl 1267.14017
Craw, Alastair; Winn, Dorothy
2013
Multigraded linear series and recollement. Zbl 1396.14005
Craw, Alastair; Ito, Yukari; Karmazyn, Joseph
2018
Nef divisors for moduli spaces of complexes with compact support. Zbl 1367.14004
Bayer, Arend; Craw, Alastair; Zhang, Ziyu
2017
Derived Reid’s recipe for abelian subgroups of $$\mathrm{SL}_3(\mathbb{C})$$. Zbl 1425.14013
Cautis, Sabin; Craw, Alastair; Logvinenko, Timothy
2017
Geometric Reid’s recipe for dimer models. Zbl 1331.14022
Bocklandt, Raf; Craw, Alastair; Quintero Vélez, Alexander
2015
Cohomology of wheels on toric varieties. Zbl 1337.14042
Craw, Alastair; Quintero Vélez, Alexander
2015
Mori dream spaces as fine moduli of quiver representations. Zbl 1267.14017
Craw, Alastair; Winn, Dorothy
2013
Cellular resolutions of noncommutative toric algebras from superpotentials. Zbl 1280.16023
Craw, Alastair; Quintero Vélez, Alexander
2012
The special McKay correspondence as an equivalence of derived categories. Zbl 1231.14010
Craw, Alastair
2011
Quiver flag varieties and multigraded linear series. Zbl 1213.14026
Craw, Alastair
2011
Dirichlet branes and mirror symmetry. Zbl 1188.14026
Aspinwall, S.; Bridgeland, Tom; Craw, Alastair; Douglas, Michael R.; Gross, Mark; Kapustin, Anton; Moore, Gregory W.; Segal, Graeme; Szendrői, Balázs; Wilson, P. M. H.
2009
Projective toric varieties as fine moduli spaces of quiver representations. Zbl 1183.14066
Craw, Alastair; Smith, Gregory G.
2008
Moduli of McKay quiver representations. I: The coherent component. Zbl 1140.14046
Craw, Alastair; Maclagan, Diane; Thomas, Rekha R.
2007
Moduli of McKay quiver representations. II: Gröbner basis techniques. Zbl 1161.14038
Craw, Alastair; Maclagan, Diane; Thomas, Rekha R.
2007
Fiber fans and toric quotients. Zbl 1147.14028
Craw, Alastair; Maclagan, Diane
2007
An explicit construction of the McKay correspondence for $$A$$-Hilb $$\mathbb C^3$$. Zbl 1073.14008
Craw, Alastair
2005
An introduction to motivic integration. Zbl 1156.14307
Craw, Alastair
2005
Flops of $$G$$-Hilb and equivalences of derived categories by variation of GIT quotient. Zbl 1082.14009
Craw, Alastair; Ishii, Akira
2004
How to calculate $$A$$-Hilb $$\mathbb{C}^3$$. Zbl 1080.14502
Craw, Alastair; Reid, Miles
2002
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#### Cited by 188 Authors

 12 Craw, Alastair 6 Bocklandt, Raf 5 Quintero Vélez, Alexander 4 Bayer, Arend 4 Cecotti, Sergio 4 Ishii, Akira 4 Logvinenko, Timothy 4 Wemyss, Michael 4 Yasuda, Takehiko 2 Bellamy, Gwyn 2 Bruzzo, Ugo 2 Caorsi, Matteo 2 Cautis, Sabin 2 Chuvashova, Olga V. 2 Cirafici, Michele 2 Dimofte, Tudor Dan 2 Frè, Pietro Giuseppe 2 Freed, Daniel Stuart 2 Grassi, Pietro Antonio 2 Hausen, Jürgen 2 Ito, Yukari 2 Jung, Seung-Jo 2 Kanazawa, Atsushi 2 Karmazyn, Joseph 2 Kedzierski, Oskar 2 Maclagan, Diane 2 Macrì, Emanuele 2 Nolla de Celis, Alvaro 2 Schedler, Travis 2 Seidel, Paul 2 Smith, Ivan 2 Szabo, Richard J. 2 Terpereau, Ronan 2 Thomas, Rekha R. 2 Veys, Willem 2 Zhang, Yuguang 1 Abdelgadir, Tarig Mahgoub H. 1 Abouzaid, Mohammed 1 Alim, Murad 1 Altmann, Klaus 1 Amrutiya, Sanjaykumar Hansraj 1 Aspinwall, Paul S. 1 Bäker, Hendrik 1 Batyrev, Victor V. 1 Beem, Christopher 1 Beil, Charlie 1 Bejleri, Dori 1 Belkale, Prakash 1 Ben-Zvi, David 1 Bernardara, Marcello 1 Blume, Mark 1 Boer, Alex 1 Booth, Matthew 1 Borisov, Lev A. 1 Brosnan, Patrick 1 Bruns, Winfried 1 Bullimore, Mathew Richard 1 Cacciatori, Sergio Luigi 1 Carqueville, Nils 1 Castaño-Bernard, Ricardo 1 Catenacci, Roberto 1 Chan, Kwokwai 1 Charbonnel, Jean-Yves 1 Chinen, Minako 1 Collinucci, Andres 1 Compagnoni, Marco 1 Couzens, Christopher 1 Datar, Ved V. 1 de Fernex, Tommaso 1 Degeratu, Anda 1 Domokos, Mátyás 1 Donten-Bury, Maria 1 Efimov, Alexander I. 1 Faber, Eleonore 1 Fatighenti, Enrico 1 Florea, Bogdan 1 Forcella, Davide 1 Franco, Sebastián 1 Gagliardi, Giuliano 1 Gaines, Benjamin 1 García-Etxebarria, Iñaki 1 Garner, Niklas 1 Geracie, Michael 1 Grab, Maksymilian 1 Grant, Joseph 1 Green, James C. 1 Guerra, Stefano 1 Gukov, Sergei 1 Hales, Thomas Callister 1 Hanany, Amihay 1 Harvey, Jeffrey A. 1 He, Yang-Hui Evariste 1 Hepworth, Richard A. 1 Hilburn, Justin 1 Hille, Lutz 1 Hische, Christoff 1 Honda, Daigo 1 Horja, R. Paul 1 Hua, Zheng 1 Hultgren, Jakob ...and 88 more Authors
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#### Cited in 61 Serials

 14 Advances in Mathematics 10 Journal of Algebra 9 Duke Mathematical Journal 7 Communications in Mathematical Physics 7 Journal of High Energy Physics 5 Journal of Geometry and Physics 5 Compositio Mathematica 4 Nuclear Physics. B 4 Bulletin of the American Mathematical Society. New Series 3 Journal of Pure and Applied Algebra 3 Mathematische Annalen 3 Tohoku Mathematical Journal. Second Series 3 Selecta Mathematica. New Series 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Letters in Mathematical Physics 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Michigan Mathematical Journal 2 Transactions of the American Mathematical Society 2 International Journal of Mathematics 2 Transformation Groups 2 Geometry & Topology 2 Algebras and Representation Theory 2 Annales Henri Poincaré 2 Forum of Mathematics, Sigma 1 International Journal of Modern Physics A 1 Israel Journal of Mathematics 1 Reports on Mathematical Physics 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 Sugaku Expositions 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Bulletin des Sciences Mathématiques 1 Documenta Mathematica 1 Taiwanese Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Proyecciones 1 Journal of Physics A: Mathematical and Theoretical 1 Japanese Journal of Mathematics. 3rd Series 1 Advances in Mathematical Physics 1 Kyoto Journal of Mathematics 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques
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#### Cited in 26 Fields

 116 Algebraic geometry (14-XX) 32 Associative rings and algebras (16-XX) 29 Quantum theory (81-XX) 26 Category theory; homological algebra (18-XX) 19 Differential geometry (53-XX) 10 Commutative algebra (13-XX) 10 Several complex variables and analytic spaces (32-XX) 8 Manifolds and cell complexes (57-XX) 5 Group theory and generalizations (20-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Relativity and gravitational theory (83-XX) 4 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Convex and discrete geometry (52-XX) 2 Number theory (11-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)