World's Best Scientists 2026 revealed!
Mark Shimozono

Mark Shimozono

D-Index & Metrics

Mathematics

D-Index
33
Citations
2868
World Ranking
3084
National Ranking
1232

Overview

Mark Shimozono is affiliated with Virginia Tech in the United States and specializes in Mathematics. Their research spans several subfields, notably Geometry and Topology, Discrete Mathematics and Combinatorics, Mathematical Physics, Statistical and Nonlinear Physics, as well as Algebra and Number Theory.

The scientist's work addresses multiple advanced topics in mathematics, including:

  • Advanced Combinatorial Mathematics
  • Algebraic structures and combinatorial models
  • Advanced Mathematical Identities
  • Homotopy and Cohomology in Algebraic Topology
  • Nonlinear Waves and Solitons
  • Advanced Algebra and Geometry
  • Mathematics and Applications

Mark Shimozono has contributed to numerous research papers, with a significant number published on arXiv. Select recent publications include:

  • Grothendieck-to-Lascoux expansions, 2023, Transactions of the American Mathematical Society
  • Back Stable K-Theory Schubert Calculus, 2022, International Mathematics Research Notices
  • On cyclic quiver parabolic Kostka-Shoji polynomials, 2022, Journal of Combinatorial Theory Series A
  • Quiver Hall-Littlewood functions and Kostka-Shoji polynomials, 2022, Pacific Journal of Mathematics
  • Grothendieck to Lascoux expansions, 2021, arXiv (Cornell University)

Their frequent coauthors reflect active collaborations with researchers in related mathematical domains. Notable coauthors include:

  • Daniel L. Orr
  • Tianyi Yu
  • Thomas Lam
  • Seung Jin Lee
  • Joshua Jeishing Wen

Publication venues for Mark Shimozono cover a range of respected mathematical journals and preprint archives, with frequent appearances in:

  • arXiv (Cornell University)
  • Transactions of the American Mathematical Society
  • International Mathematics Research Notices
  • Journal of Combinatorial Theory Series A
  • Pacific Journal of Mathematics

Best Publications

  • Key polynomials and a flagged Littlewood-Richardson rule

    Victor Reiner;Mark Shimozono

  • Quantum cohomology of G/P and homology of affine Grassmannian

    Thomas Lam;Mark Shimozono

  • Affine Type A Crystal Structure on Tensor Products of Rectangles, Demazure Characters, and Nilpotent Varieties

    Mark Shimozono

  • A bijection between Littlewood-Richardson tableaux and rigged configurations

    Anatol N. Kirillov;Anne Schilling;Mark Shimozono

  • A Uniform Model for Kirillov–Reshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph

    Cristian Lenart;Satoshi Naito;Daisuke Sagaki;Anne Schilling

  • Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture

    James Haglund;Brendon Rhoades;Mark Shimozono

  • Stable Grothendieck polynomials and K-theoretic factor sequences

    Anders Skovsted Buch;Andrew Kresch;Mark Shimozono;Harry Tamvakis

  • Back stable Schubert calculus

    Thomas Lam;Seung Jin Lee;Mark Shimozono

  • Graded Characters of Modules Supported in the Closure of a Nilpotent Conjugacy Class

    Mark Shimozono;Jerzy Weyman

  • K -theory Schubert calculus of the affine Grassmannian

    Thomas Lam;Anne Schilling;Mark Shimozono

  • Four positive formulae for type A quiver polynomials

    Allen Knutson;Ezra Miller;Mark Shimozono

  • k-Schur Functions and Affine Schubert Calculus

    Thomas Lam;Luc Lapointe;Jennifer Morse;Anne Schilling

  • A Generalization of the Kostka–Foulkes Polynomials

    Anatol N. Kirillov;Mark Shimozono

  • Affine Insertion and Pieri Rules for the Affine Grassmannian

    Thomas Lam;Luc Lapointe;Jennifer Morse;Mark Shimozono

  • Balanced Labellings and Schubert Polynomials

    Sergey Fomin;Curtis Greene;Victor Reiner;Mark Shimozono

  • A Color-to-Spin Domino Schensted Algorithm

    Mark Shimozono;Dennis E. White

  • X=M for symmetric powers

    Anne Schilling;Mark Shimozono

  • A Uniform Model for Kirillov–Reshetikhin Crystals II. Alcove Model, Path Model, and $P=X$

    Cristian Lenart;Satoshi Naito;Daisuke Sagaki;Anne Schilling

  • Virtual crystals and fermionic formulas of type $D_{n+1}^{(2)}$, $A_{2n}^{(2)}$, and $C_n^{(1)}$

    Masato Okado;Anne Schilling;Mark Shimozono

  • A Cyclage Poset Structure for Littlewood-Richardson Tableaux

    Mark Shimozono

  • Fermionic Formulas for Level-Restricted Generalized Kostka Polynomials and Coset Branching Functions

    Anne Schilling;Mark Shimozono

  • A CRYSTAL TO RIGGED CONFIGURATION BIJECTION FOR NONEXCEPTIONAL AFFINE ALGEBRAS

    Masato Okado;Anne Schilling;Mark Shimozono

Frequent Co-Authors

Thomas Lam
Thomas Lam University of Michigan–Ann Arbor
Masato Okado
Masato Okado Osaka Metropolitan University
Victor Reiner
Victor Reiner University of Minnesota
Jerzy Weyman
Jerzy Weyman University of Connecticut
Masaki Kashiwara
Masaki Kashiwara Kyoto University
Jeffrey B. Remmel
Jeffrey B. Remmel University of California, San Diego
Sergey Fomin
Sergey Fomin University of Michigan–Ann Arbor

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