Concepedia

Hiraku Abe

HA

11

Publications

187

Citations

10

H-Index

2014

Active since

Affiliations

Osaka City University(Current)

University of Toronto

McMaster University

Hiraku Abe is an author at Osaka City University specializing in representation theory, geometry, and discrete mathematics.

Top concepts

Representation TheoryGeometryClassicsEngineeringComputer ScienceDiscrete MathematicsGomory-chvátal TheoryMathematical Foundations

Publications per year

2014–2020

11

Publications

11

The Cohomology Rings of Regular Nilpotent Hessenberg Varieties in Lie Type A

Hiraku Abe, Megumi Harada, Tatsuya Horiguchi et al. · International Mathematics Research Notices · 2017 · 44 citations

Coxeter Group, Schubert Calculus, Hessenberg Function +11

Geometry of Hessenberg varieties with applications to Newton–Okounkov bodies

Hiraku Abe, Lauren DeDieu, Federico Galetto et al. · Selecta Mathematica · 2018 · 28 citations · Full text

Projective Geometry, Hessenberg Varieties, Geometry

Consequences of the Lakshmibai-Sandhya Theorem: the ubiquity of permutation patterns in Schubert calculus and related geometry

Hiraku Abe, Sara Billey · Advanced studies in pure mathematics · 2018 · 17 citations

Schubert Calculus, Related Geometry, Engineering +16

GEOMETRY OF REGULAR HESSENBERG VARIETIES

Hiraku Abe, Naoki Fujita, Haozhi Zeng · Transformation Groups · 2020 · 16 citations

Schubert Calculus, Projective Geometry, Enumerative Geometry +1

The equivariant cohomology rings of regular nilpotent Hessenberg varieties in Lie type A: a research announcement

Hiraku Abe, Megumi Harada, Tatsuya Horiguchi et al. · arXiv (Cornell University) · 2014 · 12 citations · Full text

Schubert Calculus, Hessenberg Function, Equivariant Cohomology Rings +9

Rows per page

1–5 of 11