Pavlo Pylyavskyy
Geometry and Topology · 2005–2012
A researcher in the Science corpus: 6 papers; trusts 18 researchers and is trusted by 5 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 56 citations into it; #3,994 of 7,422 by trust here, #3,547 by citations
- Algebra and Number Theory — 44 citations into it; #1,535 of 2,864 by trust here, #1,227 by citations
- Discrete Mathematics and Combinatorics — 36 citations into it; #1,627 of 2,017 by trust here, #812 by citations
- Mathematical Physics — 22 citations into it
- Statistical and Nonlinear Physics — 18 citations into it
Whom Pavlo Pylyavskyy trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Sergey Fomin
- Andrei Zelevinsky
- Bernard Leclerc
- Joshua S. Scott
- Cristian Lenart
- Brendon Rhoades
- C. Geiss
- D. Hernandez
- Philippe Caldero
- H. Nakajima
Who trusts Pavlo Pylyavskyy overall
Papers from Pavlo Pylyavskyy's perspective
Ordered by how strongly the researchers Pavlo Pylyavskyy trusts endorse each paper. Same corpus, a different order for every researcher.
- Cluster algebras I: Foundations
- Grassmannians and Cluster Algebras
- Semicanonical bases and preprojective algebras
- The Laurent Phenomenon (Advances in Applied Mathematics)
- On the quiver Grassmannian in the acyclic case
- Quiver varieties and cluster algebras
- Positivity for cluster algebras from surfaces
- A Quantum Cluster Algebra of Kronecker Type and the Dual Canonical Basis
- Simple tensor products
- Imaginary vectors in the dual canonical basis of Uq(n)
Their papers
- Laurent phenomenon algebras (2012) — 79 citations
- Tensor diagrams and cluster algebras (2012) — 73 citations
- Promotion and cyclic sieving via webs (2008) — 110 citations
- Total positivity in loop groups I: whirls and curls (2008) — 65 citations
- Combinatorial Hopf algebras and K-homology of Grassmanians (2007) — 124 citations
- Schur positivity and Schur log-concavity (2005) — 97 citations