Mike Zabrocki

Discrete Mathematics and Combinatorics · 2005–2019

A researcher in the Science corpus: 10 papers; trusts 13 researchers and is trusted by 4 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 62 citations into it; #1,315 of 2,017 by trust here, #267 by citations
• Geometry and Topology — 55 citations into it; #5,907 of 7,422 by trust here, #1,803 by citations
• Algebra and Number Theory — 35 citations into it
• Mathematical Physics — 29 citations into it
• Electrical and Electronic Engineering — 7 citations into it
• Statistical and Nonlinear Physics — 6 citations into it

Whom Mike Zabrocki trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. James Haglund
2. Tom Halverson
3. Mark D. Haiman
4. Thomas Lam
5. Luc Lapointe
6. Mercedes H. Rosas
7. Jennifer Morse
8. Bruce E. Sagan

Who trusts Mike Zabrocki overall

1. Vincent Vatter
2. Stephanie van Willigenburg
3. Kurt W. Luoto
4. Nantel Bergeron

Papers from Mike Zabrocki's perspective

Ordered by how strongly the researchers Mike Zabrocki trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Symmetric Group
2. Conjectured statistics for the q,t-Catalan numbers
3. A Littlewood-Richardson rule for theK-theory of Grassmannians
4. Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
5. Affine Insertion and Pieri Rules for the Affine Grassmannian
6. On the quantum product of Schubert classes
7. Kac-Moody Groups
8. A Littlewood–Richardson rule for two-step flag varieties
9. Quantum cohomology of G/P and homology of affine Grassmannian
10. Cylindric skew Schur functions

Their papers

• On the Stanley--Wilf limit of 4231-avoiding permutations and a conjecture of Arratia (2005) — 55 citations
• A module for the Delta conjecture. (2019) — 54 citations
• Symmetric group characters as symmetric functions (2015) — 53 citations
• k-Schur Functions and Affine Schubert Calculus (2013) — 66 citations
• Indecomposable modules for the dual immaculate basis of quasi-symmetric functions (2013) — 56 citations
• A Lift of the Schur and Hall–Littlewood Bases to Non-commutative Symmetric Functions (2012) — 90 citations
• Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras (2010) — 95 citations
• A Compositional Shuffle Conjecture Specifying Touch Points of the Dyck Path (2010) — 82 citations
• Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables (2005) — 58 citations
• THE HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND QUASI-SYMMETRIC FUNCTIONS IN NON-COMMUTATIVE VARIABLES ARE FREE AND CO-FREE (2005) — 79 citations