2026 Kenji Fukaya: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	35	2753	2462	1127	949	123	5912

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2753

2462

1127

949

123

5912

Overview

Kenji Fukaya is affiliated with Stony Brook University in the United States and has contributed extensively to the field of Mathematics, with a focus on Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Applied Mathematics, and Statistical and Nonlinear Physics.

The research topics covered by Kenji Fukaya include:

Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Algebraic Geometry and Number Theory
Advanced Topics in Algebra
Advanced Algebra and Geometry
Geometry and complex manifolds
Geometric Analysis and Curvature Flows

Kenji Fukaya's recent papers encompass a range of mathematical subjects:

"Exponential Decay Estimates and Smoothness of the Moduli Space of Pseudoholomorphic Curves," 2024, Memoirs of the American Mathematical Society
"Lie Groupoids, Deformation of Unstable Curves, and Construction of Equivariant Kuranishi Charts," 2021, Publications of the Research Institute for Mathematical Sciences
"Gromov-Hausdorff distance between filtered A∞ categories 1: Lagrangian Floer theory," 2021, arXiv (Cornell University)
"Lagrangians, SO(3)-instantons and the Atiyah-Floer Conjecture," 2021, arXiv (Cornell University)
"Homological algebra related to surfaces with boundary," 2020, Quantum Topology

The frequent co-authors collaborating with Kenji Fukaya include:

Yong-Geun Oh
Hiroshi Ohta
Kaoru Ono
Aliakbar Daemi
Maksim Lipyanskiy

Kenji Fukaya has published books with Springer Science+Business Media, including the work titled "Kuranishi Structures and Virtual Fundamental Chains" in 2020.

The primary venues where Kenji Fukaya's work appears are:

arXiv (Cornell University)
Quantum Topology
Memoirs of the American Mathematical Society
Publications of the Research Institute for Mathematical Sciences
Journal of Fixed Point Theory and Applications

Best Publications

ARNOLD CONJECTURE AND GROMOV–WITTEN INVARIANT

Kenji Fukaya;Kaoru Ono

766
Citations
Collapsing of Riemannian manifolds and eigenvalues of Laplace operator

Kenji Fukaya

360
Citations
Nilpotent structures and invariant metrics on collapsed manifolds

Jeff Cheeger;Kenji Fukaya;Kenji Fukaya;Kenji Fukaya;Mikhael Gromov

330
Citations
Lagrangian Floer theory on compact toric manifolds, I

Kenji Fukaya;Yong-Geun Oh;Hiroshi Ohta;Kaoru Ono

299
Citations
Zero-loop open strings in the cotangent bundle and Morse homotopy

Kenji Fukaya;Yong-Geun Oh

287
Citations
The fundamental groups of almost nonnegatively curved manifolds

Unknown

218
Citations
A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters

Kenji Fukaya

210
Citations
Cyclic symmetry and adic convergence in Lagrangian Floer theory

Kenji Fukaya

204
Citations
Collapsing Riemannian manifolds to ones of lower dimensions

Kenji Fukaya

180
Citations
Mirror symmetry of abelian varieties and multi-theta functions

Kenji Fukaya

179
Citations
Lagrangian Floer theory on compact toric manifolds II: bulk deformations

Kenji Fukaya;Yong-Geun Oh;Hiroshi Ohta;Hiroshi Ohta;Kaoru Ono;Kaoru Ono

171
Citations
Theory of convergence for Riemannian orbifolds

Kenji Fukaya

133
Citations
Floer Homology and Mirror Symmetry II

Kenji Fukaya

128
Citations
Hausdorff Convergence of Riemannian Manifolds and Its Applications

Kenji Fukaya

127
Citations
Lagrangian Intersection Floer Theory, Part 2: Anomaly and Obstruction, Part II

Kenji Fukaya;Yong-Geun Oh;Hiroshi Ohta;Kaoru Ono

115
Citations
Floer homology of connected sum of homology 3-spheres

Kenji Fukaya

108
Citations
Exact Lagrangian submanifolds in simply-connected cotangent bundles

Kenji Fukaya;Paul Seidel;Ivan Smith

102
Citations
Collapsing Riemannian manifolds to ones with lower dimension II

Kenji Fukaya

101
Citations
Deformation theory, homological algebra and mirror symmetry

K. Fukaya

91
Citations
Isometry groups of singular spaces

Kenji Fukaya;Takao Yamaguchi

87
Citations
The Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint

Kenji Fukaya;Paul Seidel;Ivan Smith

87
Citations
Lagrangian Floer theory on compact toric manifolds I

K. Fukaya;Y.-G. Oh;H. Ohta;K. Ono

38
Citations

Frequent Co-Authors

Jeff Cheeger Courant Institute of Mathematical Sciences

External Links

Wikipedia of Kenji Fukaya Personal website of Kenji Fukaya

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