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Dylan Rupel
Dylan Rupel
MathAcademy, Pasadena, CA
Verified email at pusd.us
Title
Cited by
Cited by
Year
On a quantum analog of the Caldero–Chapoton formula
D Rupel
International Mathematics Research Notices 2011 (14), 3207-3236, 2011
612011
The greedy basis equals the theta basis: a rank two haiku
MW Cheung, M Gross, G Muller, G Musiker, D Rupel, S Stella, H Williams
Journal of Combinatorial Theory, Series A 145, 150-171, 2017
372017
Quantum cluster characters for valued quivers
D Rupel
Transactions of the American Mathematical Society 367 (10), 7061-7102, 2015
372015
The operad of temporal wiring diagrams: formalizing a graphical language for discrete-time processes
D Rupel, DI Spivak
arXiv preprint arXiv:1307.6894, 2013
352013
String diagrams for traced and compact categories are oriented 1-cobordisms
DI Spivak, P Schultz, D Rupel
Journal of Pure and Applied Algebra 221 (8), 2064-2110, 2017
232017
Quantum cluster characters of Hall algebras
A Berenstein, D Rupel
Selecta Mathematica 21 (4), 1121-1176, 2015
232015
Greedy bases in rank 2 quantum cluster algebras
K Lee, L Li, D Rupel, A Zelevinsky
Proceedings of the National Academy of Sciences 111 (27), 9712-9716, 2014
182014
Proof of the Kontsevich non-commutative cluster positivity conjecture
D Rupel
Comptes Rendus. Mathématique 350 (21-22), 929-932, 2012
182012
Greedy bases in rank 2 generalized cluster algebras
D Rupel
arXiv preprint arXiv:1309.2567, 2013
142013
Hamiltonian and Lagrangian formalisms of mutations in cluster algebras and application to dilogarithm identities
M Gekhtman, T Nakanishi, D Rupel
Journal of Integrable Systems 2 (1), xyx005, 2017
112017
Companion cluster algebras to a generalized cluster algebra
T Nakanishi, D Rupel
arXiv preprint arXiv:1504.06758, 2015
112015
The Feigin tetrahedron
D Rupel
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11, 024, 2015
112015
Symplectic groupoids for cluster manifolds
S Li, D Rupel
Journal of Geometry and Physics 154, 103688, 2020
102020
Introduction to cluster algebras
M Glick, D Rupel
Symmetries and Integrability of Difference Equations: Lecture Notes of the …, 2017
92017
Cell decompositions for rank two quiver Grassmannians
D Rupel, T Weist
Mathematische Zeitschrift 295 (3), 993-1038, 2020
72020
The existence of greedy bases in rank 2 quantum cluster algebras
K Lee, L Li, D Rupel, A Zelevinsky
Advances in Mathematics 300, 360-389, 2016
72016
On generalized minors and quiver representations
D Rupel, S Stella, H Williams
International Mathematics Research Notices 2020 (3), 914-956, 2020
62020
Some consequences of categorification
D Rupel, S Stella
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 16, 007, 2020
62020
Affine cluster monomials are generalized minors
D Rupel, S Stella, H Williams
Compositio Mathematica 155 (7), 1301-1326, 2019
52019
Rank two non-commutative Laurent phenomenon and pseudo-positivity
DC Rupel
Algebraic Combinatorics 2 (6), 1239-1273, 2019
32019
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