Mark Shimozono

Geometry and Topology · 2002–2018

A researcher in the Science corpus: 11 papers; trusts 24 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 70 citations into it; #2,257 of 7,422 by trust here, #1,487 by citations
• Discrete Mathematics and Combinatorics — 62 citations into it; #468 of 2,017 by trust here, #239 by citations
• Algebra and Number Theory — 54 citations into it; #2,532 of 2,864 by trust here, #1,490 by citations
• Mathematical Physics — 26 citations into it; #4,252 of 8,562 by trust here, #2,682 by citations
• Statistical and Nonlinear Physics — 9 citations into it
• Applied Mathematics — 6 citations into it

Whom Mark Shimozono trusts overall

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

1. Thomas Lam
2. Luc Lapointe
3. Anders Skovsted Buch
4. Jennifer Morse
5. Luc Lapointea
6. William Fulton
7. Shrawan Kumar
8. Mark D. Haiman
9. Allen Knutson
10. Sarah K. Mason

Who trusts Mark Shimozono overall

1. Anders Skovsted Buch
2. Thomas Lam
3. Leonardo Constantin Mihalcea
4. Anne Schilling
5. James Haglund
6. Hugh Thomas

Papers from Mark Shimozono's perspective

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

1. A Littlewood-Richardson rule for theK-theory of Grassmannians
2. On the quantum product of Schubert classes
3. Quantum cohomology of G/P and homology of affine Grassmannian
4. Gromov-Witten invariants on Grassmannians
5. Double Affine Hecke Algebras
6. Kac-Moody Groups
7. A Littlewood–Richardson rule for two-step flag varieties
8. What is ... Equivariant Cohomology
9. The Symmetric Group
10. Cylindric skew Schur functions

Their papers

• K-theory Schubert calculus of the affine Grassmannian (2009) — 76 citations
• Back stable Schubert calculus (2018) — 116 citations
• Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture (2016) — 115 citations
• A UNIFORM MODEL FOR KIRILLOV–RESHETIKHIN CRYSTALS III: NONSYMMETRICMACDONALD POLYNOMIALS AT t = 0 AND DEMAZURE CHARACTERS (2015) — 56 citations
• k-Schur Functions and Affine Schubert Calculus (2013) — 66 citations
• Quantum cohomology of G/P and homology of affine Grassmannian (2007) — 152 citations
• Affine Insertion and Pieri Rules for the Affine Grassmannian (2006) — 90 citations
• Stable Grothendieck polynomials and K-theoretic factor sequences (2005) — 82 citations
• X=M for symmetric powers (2004) — 48 citations
• Four positive formulae for type A quiver polynomials (2003) — 74 citations
• A CRYSTAL TO RIGGED CONFIGURATION BIJECTION FOR NONEXCEPTIONAL AFFINE ALGEBRAS (2002) — 57 citations