53 citations · 428 across the 47 of their papers we have counts for
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Geometric Bruhat order on (0,1)-matrices
Tommaso Maria Botta, Alexander O. Foster, Richard Rimanyi
The combinatorially and the geometrically defined partial orders on the set of permutations coincide. We extend this result to -matrices with fixed row and column sums. Name…
Partition Identities and Quiver Representations
Richard Rimanyi, Anna Weigandt, Alexander Yong
We present a particular connection between classical partition combinatorics and the theory of quiver representations. Specifically, we give a bijective proof of an analogue of A.…
An iterated residue perspective on stable Grothendieck polynomials
J. Allman, R. Rimanyi
Grothendieck polynomials are important objects in the study of the -theory of flag varieties. Their many remarkable properties have been studied in the context of algebraic geom…
Combinatorics of rational functions and Poincare-Birkhoff-Witt expansions of the canonical U(n-)-valued differential form
R. Rimanyi, L. Stevens, A. Varchenko
We study the canonical U(n-)-valued differential form, whose projections to different Kac-Moody algebras are key ingredients of the hypergeometric integral solutions of KZ-type dif…