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## Perkinson, David

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 Author ID: perkinson.david Published as: Perkinson, David External Links: MGP
 Documents Indexed: 16 Publications since 1995, including 1 Book
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#### Co-Authors

 3 single-authored 3 Hopkins, Samuel Francis 2 Xu, Tianyuan 2 Yang, Qiaoyu 1 Brauner, Sarah 1 Chan, Melody 1 Corry, Scott 1 Florescu, Laura 1 Glass, Darren B. 1 Glebe, Forrest 1 Goel, Gopal 1 Guralnick, Robert Michael 1 Hood, Jeffrey 1 Macauley, Matthew 1 Morar, Daniela 1 Perlman, Jacob 1 Salter, Nicholas 1 Salter, Nick 1 Werner, Caryn 1 Wilmes, John 1 Yu, Kuai
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#### Serials

 3 The Electronic Journal of Combinatorics 2 Transactions of the American Mathematical Society 2 Linear Algebra and its Applications 1 Compositio Mathematica 1 Journal of Combinatorial Theory. Series A 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Combinatorica 1 SIAM Journal on Discrete Mathematics
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#### Fields

 12 Combinatorics (05-XX) 5 Convex and discrete geometry (52-XX) 3 Algebraic geometry (14-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

13 Publications have been cited 119 times in 103 Documents Cited by Year
Primer for the algebraic geometry of sandpiles. Zbl 1320.05060
Perkinson, David; Perlman, Jacob; Wilmes, John
2013
Divisors and sandpiles. An introduction to chip-firing. Zbl 1411.05003
Corry, Scott; Perkinson, David
2018
Curves in Grassmannians. – Appendices: A.-B. Zbl 0856.14014
Perkinson, David
1995
Inflections of toric varieties. Zbl 1085.14516
Perkinson, David
2000
Bigraphical arrangements. Zbl 1325.05089
Hopkins, Sam; Perkinson, David
2016
$$G$$-parking functions and tree inversions. Zbl 1399.05006
Perkinson, David; Yang, Qiaoyu; Yu, Kuai
2017
Permutation polytopes and indecomposable elements in permutation groups. Zbl 1108.52014
Guralnick, Robert M.; Perkinson, David
2006
Orientations, semiorders, arrangements, and parking functions. Zbl 1267.05138
Hopkins, Sam; Perkinson, David
2012
Principal parts of line bundles on toric varieties. Zbl 0895.14016
Perkinson, David
1996
Sandpiles, spanning trees, and plane duality. Zbl 1327.05342
Chan, Melody; Glass, Darren; Macauley, Matthew; Perkinson, David; Werner, Caryn; Yang, Qiaoyu
2015
Some facets of the polytope of even permutation matrices. Zbl 1103.52010
Hood, Jeffrey; Perkinson, David
2004
Critical groups of iterated cones. Zbl 1411.05161
Goel, Gopal; Perkinson, David
2019
A note on the critical group of a line graph. Zbl 1218.05064
Perkinson, David; Salter, Nick; Xu, Tianyuan
2011
Critical groups of iterated cones. Zbl 1411.05161
Goel, Gopal; Perkinson, David
2019
Divisors and sandpiles. An introduction to chip-firing. Zbl 1411.05003
Corry, Scott; Perkinson, David
2018
$$G$$-parking functions and tree inversions. Zbl 1399.05006
Perkinson, David; Yang, Qiaoyu; Yu, Kuai
2017
Bigraphical arrangements. Zbl 1325.05089
Hopkins, Sam; Perkinson, David
2016
Sandpiles, spanning trees, and plane duality. Zbl 1327.05342
Chan, Melody; Glass, Darren; Macauley, Matthew; Perkinson, David; Werner, Caryn; Yang, Qiaoyu
2015
Primer for the algebraic geometry of sandpiles. Zbl 1320.05060
Perkinson, David; Perlman, Jacob; Wilmes, John
2013
Orientations, semiorders, arrangements, and parking functions. Zbl 1267.05138
Hopkins, Sam; Perkinson, David
2012
A note on the critical group of a line graph. Zbl 1218.05064
Perkinson, David; Salter, Nick; Xu, Tianyuan
2011
Permutation polytopes and indecomposable elements in permutation groups. Zbl 1108.52014
Guralnick, Robert M.; Perkinson, David
2006
Some facets of the polytope of even permutation matrices. Zbl 1103.52010
Hood, Jeffrey; Perkinson, David
2004
Inflections of toric varieties. Zbl 1085.14516
Perkinson, David
2000
Principal parts of line bundles on toric varieties. Zbl 0895.14016
Perkinson, David
1996
Curves in Grassmannians. – Appendices: A.-B. Zbl 0856.14014
Perkinson, David
1995
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#### Cited by 159 Authors

 6 Backman, Spencer 6 Hopkins, Samuel Francis 6 Perkinson, David 4 Duarte, Rui 4 Glass, Darren B. 4 Guedes de Oliveira, António 4 Levine, Lionel 4 Manjunath, Madhusudan 4 Mirò-Roig, Rosa Maria 3 Biswas, Indranil 3 Klivans, Caroline J. 3 Ladisch, Frieder 3 Maakestad, Helge Øystein 3 Morrison, Ralph 3 Reiner, Victor 3 Yuen, Chi Ho 2 Aidun, Ivan 2 Aluffi, Paolo 2 Baumeister, Barbara 2 Benkart, Georgia M. 2 Bodlaender, Hans L. 2 Borgwardt, Steffen 2 Brauner, Sarah 2 Dean, Frances 2 Dochtermann, Anton 2 Dukes, Mark 2 Friese, Erik 2 Guzmán, Johnny 2 Mezzetti, Emilia 2 Piene, Ragni 2 Sanyal, Raman 2 Tewari, Vasu V. 2 van der Wegen, Marieke 2 Yu, Teresa 2 Yuan, Julie 1 Adeniran, Ayomikun 1 Alfaro Montúfar, Carlos Alejandro 1 Almeida, Charles 1 Andrade, Aline Vilela 1 Archer, Kassie 1 Bernardi, Olivier 1 Bishop, Abigail C. 1 Bodewes, Jelco M. 1 Bøgvad, Rikard 1 Bond, Benjamin 1 Brandfonbrener, David 1 Butler, Steven Kay 1 Chan, Swee Hong 1 Chen, Haiyan 1 Cori, Robert 1 Cornelissen, Gunther 1 Cunningham, William H. 1 David, Perkinson 1 Devlin, Pat 1 Diaconis, Persi Warren 1 Diaz-Lopez, Alexander 1 Dickenstein, Alicia M. 1 Dong, Fengming 1 Dorpalen-Barry, Galen 1 Farrell, Matthew 1 Forrest, Glebe 1 Friedenberg, Netanel 1 Galashin, Pavel 1 Gao, Yibo 1 García Puente, Luis David 1 Gaydarov, Petar 1 Glebe, Forrest 1 Goel, Gopal 1 Grinberg, Darij 1 Haase, Christian Alexander 1 Happach, Felix 1 Harris, Pamela E. 1 Hettle, Cyrus 1 Hidalgo, Rubén Antonio 1 Huang, Jia 1 Husain, Hafiz Syed 1 Jerison, Daniel C. 1 Källström, Rolf 1 Kaplan, Nathan 1 Ke, Yuxuan 1 Konopelchenko, Boris Georgievich 1 Kontogeorgis, Aristides I. 1 Konvalinka, Matjaž 1 Kulikov, Viktor Stepanovich 1 Kumar, Chanchal 1 Laface, Antonio 1 Lather, Gargi 1 Leyton-Alvarez, Maximiliano 1 Li, Rupert 1 Liang, Qingzhong 1 Liebeck, Martin Walter 1 Liu, Ricky Ini 1 Louwsma, Joel 1 Lundman, Anders 1 Ma, Jun 1 Marcus, Steffen 1 Martin, Jeremy L. 1 Mazin, Mikhail 1 McConville, Thomas 1 Merino, Criel ...and 59 more Authors
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#### Cited in 48 Serials

 8 Journal of Combinatorial Theory. Series A 7 Discrete Mathematics 5 Transactions of the American Mathematical Society 5 European Journal of Combinatorics 5 Journal of Algebraic Combinatorics 4 Mathematische Zeitschrift 4 The Electronic Journal of Combinatorics 3 Advances in Mathematics 3 Journal of Pure and Applied Algebra 3 Advances in Applied Mathematics 3 Linear Algebra and its Applications 3 Annals of Combinatorics 3 Algebraic Combinatorics 2 Discrete Applied Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Algebra 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Discrete Mathematics 2 Séminaire Lotharingien de Combinatoire 2 European Journal of Mathematics 1 Communications in Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Journal of Graph Theory 1 Manuscripta Mathematica 1 Operations Research 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 Combinatorica 1 Journal of Symbolic Computation 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Programming. Series A. Series B 1 Journal of Knot Theory and its Ramifications 1 Journal of Algebraic Geometry 1 Turkish Journal of Mathematics 1 Theory of Computing Systems 1 Journal of Nonlinear Mathematical Physics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Forum of Mathematics, Sigma 1 Research in the Mathematical Sciences
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#### Cited in 25 Fields

 64 Combinatorics (05-XX) 33 Algebraic geometry (14-XX) 19 Convex and discrete geometry (52-XX) 14 Commutative algebra (13-XX) 12 Group theory and generalizations (20-XX) 6 Differential geometry (53-XX) 4 Computer science (68-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)