20 citations · 24 across the 5 of their papers we have counts for
6 papers
A new Plethystic Symmetric Function Operator and The rational Compositional Shuffle Conjecture at t=1/q
A. M. Garsia, E. Leven, N. Wallach +1
Our main result here is that the specialization at of the operators studied in [4] may be given a very simple plethystic form. This discovery yields elementary…
Multi-cores, posets, and lattice paths
Tewodros Amdeberhan, Emily Leven
Hooks are prominent in representation theory (of symmetric groups) and they play a role in number theory (via cranks associated to Ramanujan's congruences). A partition of a positi…
A simpler formula for the number of diagonal inversions of an (m,n)-Parking Function and a returning Fermionic formula
Angela Hicks, Emily Leven
Recent results have placed the classical shuffle conjecture of Haglund et al. in a broader context of an infinite family of conjectures about parking functions in any rectangular l…
Compositional (km,kn)-Shuffle Conjectures
Francois Bergeron, Adriano Garsia, Emily Leven +1
In 2008, Haglund, Morse and Zabrocki formulated a Compositional form of the Shuffle Conjecture of Haglund et al. In very recent work, Gorsky and Negut by combining their discoverie…
Bijections for the Shi and Ish arrangements
Emily Leven, Brendon Rhoades, Andrew Timothy Wilson
The {\sf Shi hyperplane arrangement} Shi(n) was introduced by Shi to study the Kazhdan-Lusztig cellular structure of the affine symmetric group. The {\sf Ish hyperplane arrangement…
A refinement of the Shuffle Conjecture with cars of two sizes and
Angela Hicks, Emily Leven
The original Shuffle Conjecture of Haglund et al. has a symmetric function side and a combinatorial side. The symmetric function side may be simply expressed as …