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## Stapledon, Alan

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 Author ID: stapledon.alan Published as: Stapledon, A.; Stapledon, Alan External Links: MGP
 Documents Indexed: 17 Publications since 2008 Reviewing Activity: 3 Reviews
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#### Co-Authors

 10 single-authored 3 Katz, Eric 2 Anderson, Dave Edward 1 Beck, Matthias 1 de Moura, André 1 Gunther, Elijah 1 Payne, Sam 1 Schuchardt, Jason
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#### Serials

 5 Advances in Mathematics 2 Proceedings of the American Mathematical Society 2 Research in the Mathematical Sciences 1 Communications in Algebra 1 Compositio Mathematica 1 Journal of Combinatorial Theory. Series A 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Transformation Groups 1 Algebraic Combinatorics
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#### Fields

 10 Algebraic geometry (14-XX) 8 Convex and discrete geometry (52-XX) 3 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH

14 Publications have been cited 103 times in 71 Documents Cited by Year
Inequalities and Ehrhart $$\delta$$-vectors. Zbl 1181.52024
Stapledon, A.
2009
On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series. Zbl 1230.05017
Beck, Matthias; Stapledon, Alan
2010
Local $$h$$-polynomials, invariants of subdivisions, and mixed Ehrhart theory. Zbl 1325.05192
Katz, Eric; Stapledon, Alan
2016
Tropical geometry and the motivic nearby fiber. Zbl 1249.14021
Katz, Eric; Stapledon, Alan
2012
Additive number theory and inequalities in Ehrhart theory. Zbl 1342.52017
Stapledon, Alan
2016
Equivariant Ehrhart theory. Zbl 1218.52014
Stapledon, Alan
2011
Weighted Ehrhart theory and orbifold cohomology. Zbl 1174.52007
Stapledon, A.
2008
Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces. Zbl 1379.14032
Katz, Eric; Stapledon, Alan
2016
Representations on the cohomology of hypersurfaces and mirror symmetry. Zbl 1223.14059
Stapledon, Alan
2011
Schubert varieties are log Fano over the integers. Zbl 1291.14076
Anderson, Dave; Stapledon, Alan
2014
New Calabi-Yau orbifolds with mirror Hodge diamonds. Zbl 1266.14033
Stapledon, Alan
2012
Motivic integration on toric stacks. Zbl 1190.14006
Stapledon, A.
2009
Formulas for monodromy. Zbl 1401.14049
Stapledon, Alan
2017
Ehrhart theory for Lawrence polytopes and orbifold cohomology of hypertoric varieties. Zbl 1181.52025
Stapledon, Alan
2009
Formulas for monodromy. Zbl 1401.14049
Stapledon, Alan
2017
Local $$h$$-polynomials, invariants of subdivisions, and mixed Ehrhart theory. Zbl 1325.05192
Katz, Eric; Stapledon, Alan
2016
Additive number theory and inequalities in Ehrhart theory. Zbl 1342.52017
Stapledon, Alan
2016
Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces. Zbl 1379.14032
Katz, Eric; Stapledon, Alan
2016
Schubert varieties are log Fano over the integers. Zbl 1291.14076
Anderson, Dave; Stapledon, Alan
2014
Tropical geometry and the motivic nearby fiber. Zbl 1249.14021
Katz, Eric; Stapledon, Alan
2012
New Calabi-Yau orbifolds with mirror Hodge diamonds. Zbl 1266.14033
Stapledon, Alan
2012
Equivariant Ehrhart theory. Zbl 1218.52014
Stapledon, Alan
2011
Representations on the cohomology of hypersurfaces and mirror symmetry. Zbl 1223.14059
Stapledon, Alan
2011
On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series. Zbl 1230.05017
Beck, Matthias; Stapledon, Alan
2010
Inequalities and Ehrhart $$\delta$$-vectors. Zbl 1181.52024
Stapledon, A.
2009
Motivic integration on toric stacks. Zbl 1190.14006
Stapledon, A.
2009
Ehrhart theory for Lawrence polytopes and orbifold cohomology of hypertoric varieties. Zbl 1181.52025
Stapledon, Alan
2009
Weighted Ehrhart theory and orbifold cohomology. Zbl 1174.52007
Stapledon, A.
2008
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#### Cited by 87 Authors

 14 Stapledon, Alan 4 Higashitani, Akihiro 4 Payne, Sam 4 Welker, Volkmar 3 Hibi, Takayuki 3 Jochemko, Katharina Victoria 3 Juhnke-Kubitzke, Martina 3 Katz, Eric 3 Smith, Gregory G. 3 Zhang, Philip B. 2 Anderson, Dave Edward 2 Ardila Mantilla, Federico 2 Athanasiadis, Christos A. 2 Beck, Matthias 2 Chary, B. Narasimha 2 Katzarkov, Ludmil 2 McAllister, Tyrrell B. 2 Solus, Liam T. 2 Tsuchiya, Akiyoshi 2 Vindas-Meléndez, Andrés R. 1 Balletti, Gabriele 1 Bapat, Ravindra Bhalchandra 1 Berg, Sören Lennart 1 Bertrand, Benoît 1 Bini, Gilberto 1 Blekherman, Grigoriy 1 Borisov, Lev A. 1 Brenti, Francesco 1 Brugallé, Erwan 1 Chapoton, Frédéric 1 Conca, Aldo 1 Davies, Rhys 1 de Cataldo, Mark Andrea A. 1 de Moura, André 1 Diaconis, Persi Warren 1 Douai, Antoine 1 Ebeling, Wolfgang 1 Erman, Daniel 1 Fulman, Jason E. 1 Garbagnati, Alice 1 Gross, Mark 1 Gunther, Elijah 1 Gusein-Zade, Sabir M. 1 Gustafsson, Nils 1 Haglund, James 1 Hamano, Ginji 1 Itenberg, Ilia V. 1 Karu, Kalle 1 Kohl, Florian 1 León, Emerson 1 Li, Zhan 1 López de Medrano, Lucia M. 1 Ma, Jun 1 Ma, Shi-Mei 1 McCabe, Adam 1 McCullough, Emily 1 Migliorini, Luca 1 Mikhalkin, Grigory B. 1 Mohammadi, Fatemeh 1 Murai, Satoshi 1 Mustaţă, Mircea 1 Nagazawa, Yuuki 1 Nathanson, Melvyn Bernard 1 Nicaise, Johannes 1 Ohsugi, Hidefumi 1 Olsen, McCabe 1 Rochais, Hélène O. 1 Ruddat, Helge P. 1 Saito, Takahiro 1 Sanyal, Raman 1 Schepers, Jan 1 Schindler, Anna 1 Schmitz, David J. 1 Schroeter, Franziska 1 Schuchardt, Jason 1 Seppänen, Henrik 1 Sieg, Richard 1 Silverstein, Laura 1 Sivasubramanian, Sivaramakrishnan 1 Supina, Mariel 1 Ulirsch, Martin 1 Van Langenhoven, Leen 1 Várilly-Alvarado, Anthony 1 Velasco, Mauricio 1 Yeh, Jean 1 Yeh, Yeong-Nan 1 Zharkov, Ilia
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#### Cited in 36 Serials

 11 Advances in Mathematics 4 Transactions of the American Mathematical Society 4 Advances in Applied Mathematics 4 The Electronic Journal of Combinatorics 3 Journal of Combinatorial Theory. Series A 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Séminaire Lotharingien de Combinatoire 2 Journal of Algebra 2 European Journal of Combinatorics 2 Transformation Groups 2 Annals of Combinatorics 2 Research in the Mathematical Sciences 1 Communications in Algebra 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Journal of Computational and Applied Mathematics 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Acta Mathematica Hungarica 1 Discrete & Computational Geometry 1 Journal of the American Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Geometry & Topology 1 Advances in High Energy Physics 1 Special Matrices 1 European Journal of Mathematics 1 Algebraic Combinatorics
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#### Cited in 19 Fields

 36 Convex and discrete geometry (52-XX) 33 Combinatorics (05-XX) 28 Algebraic geometry (14-XX) 10 Commutative algebra (13-XX) 8 Number theory (11-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX)