Publications (41)
Affine geometric crystals in unipotent loop groups
Thomas Lam, Pavlo Pylyavskyy
Total positivity in loop groups I: whirls and curls
Thomas Lam, Pavlo Pylyavskyy
Linear recurrences for cylindrical networks
Pavel Galashin, Pavlo Pylyavskyy
Linear Laurent phenomenon algebras
Thomas Lam, Pavlo Pylyavskyy
Matrix-Ball Construction of affine Robinson-Schensted correspondence
Michael Chmutov, Pavlo Pylyavskyy, Elena Yudovina
Webs on surfaces, rings of invariants, and clusters
Sergey Fomin, Pavlo Pylyavskyy
K-theoretic Poirier-Reutenauer bialgebra
Rebecca Patrias, Pavlo Pylyavskyy
Box-Basket-Ball Systems
Thomas Lam, Pavlo Pylyavskyy, Reiho Sakamoto
Dual Filtered Graphs
Rebecca Patrias, Pavlo Pylyavskyy
Quivers with subadditive labelings: classification and integrability
Pavel Galashin, Pavlo Pylyavskyy
$R$-systems
Pavel Galashin, Pavlo Pylyavskyy
Toric networks, geometric $R$-matrices and generalized discrete Toda lattices
Rei Inoue, Thomas Lam, Pavlo Pylyavskyy
Zamolodchikov integrability via rings of invariants
Pavlo Pylyavskyy
Electrical networks and Lie theory
Thomas Lam, Pavlo Pylyavskyy
Y-meshes and generalized pentagram maps
Max Glick, Pavlo Pylyavskyy
Combinatorial Hopf algebras and K-homology of Grassmanians
Thomas Lam, Pavlo Pylyavskyy
Rigged Configurations and Cylindric Loop Schur Functions
Thomas Lam, Pavlo Pylyavskyy, Reiho Sakamoto
The Berenstein-Kirillov group and cactus groups
Michael Chmutov, Max Glick, Pavlo Pylyavskyy
A family of bijections between G-parking functions and spanning trees
Denis Chebikin, Pavlo Pylyavskyy
Tensor diagrams and cluster algebras
Sergey Fomin, Pavlo Pylyavskyy
Non-Crossing Tableaux
Pavlo Pylyavskyy
Temperley-Lieb pfaffinants and Schur $Q$-positivity conjectures
Thomas Lam, Pavlo Pylyavskyy
Quivers with additive labelings: classification and algebraic entropy
Pavel Galashin, Pavlo Pylyavskyy
The classification of Zamolodchikov periodic quivers
Pavel Galashin, Pavlo Pylyavskyy
Cyclotomic factors of the descent set polynomial
Denis Chebikin, Richard Ehrenborg, Pavlo Pylyavskyy +1
Inverse problem in cylindrical electrical networks
Thomas Lam, Pavlo Pylyavskyy
Total positivity in loop groups II: Chevalley generators
Thomas Lam, Pavlo Pylyavskyy
Crystals and total positivity on orientable surfaces
Thomas Lam, Pavlo Pylyavskyy
Intrinsic energy is a loop Schur function
Thomas Lam, Pavlo Pylyavskyy
On the cluster nature and quantization of geometric $R$-matrices
Rei Inoue, Thomas Lam, Pavlo Pylyavskyy
A_2-web immanants
Pavlo Pylyavskyy
On plethysm conjectures of Stanley and Foulkes: the $2 \times n$ case
Pavlo Pylyavskyy
Promotion and cyclic sieving via webs
T. Kyle Petersen, Pavlo Pylyavskyy, Brendon Rhoades
On products of sl_n characters and support containment
Galyna Dobrovolska, Pavlo Pylyavskyy
Cell transfer and monomial positivity
Thomas Lam, Pavlo Pylyavskyy
P-partition products and fundamental quasi-symmetric function positivity
Thomas Lam, Pavlo Pylyavskyy
Discrete solitons in infinite reduced words
Max Glick, Pavlo Pylyavskyy
A non-crossing standard monomial theory
T. Kyle Petersen, Pavlo Pylyavskyy, David E Speyer
Schur positivity and Schur log-concavity
Thomas Lam, Alexander Postnikov, Pavlo Pylyavskyy
Laurent phenomenon algebras
Thomas Lam, Pavlo Pylyavskyy
Soliton cellular automata associated with infinite reduced words
Max Glick, Rei Inoue, Pavlo Pylyavskyy