[Announcement] Congratulations to the 2025 Shaw Prize Laureate in Mathematical Sciences, Kenji Fukaya
Read the journal articles and selected book chapters by Kenji Fukaya - Shaw Prize Laureate 2025 - available until November 20, 2025.
October 21, 2025
Kenji Fukaya (born in 1959) at the 17th Takagi Lectures at the Research Institute for Mathematical Sciences, Kyoto University, Japan in 2016 (Copyright holder: Springer Nature Japan).
Kenji Fukaya receives the 2025 Shaw Prize for his pioneering work on symplectic geometry, especially for envisioning the existence of a category — nowadays called the Fukaya category — consisting of Lagrangians on a symplectic manifold, for leading the monumental task of constructing it, and for his subsequent ground-breaking and impactful contributions to symplectic topology, mirror symmetry, and gauge theory. The prize is endowed with 1.2 million US dollars and will be awarded on 21 October in Hong Kong. https://www.shawprize.org/laureates/2025-mathematical-sciences/
Springer Nature extends its warmest congratulations to this year’s Shaw Prize Laureate in Mathematical Sciences, Kenji Fukaya. This page collects the papers and book chapters published in Springer Nature Link through the years by Kenji Fukaya, free to read and download until November 20, 2025.
Research Survey Article
- Categorification of invariants in gauge theory and symplectic geometry. Published in: Japanese Journal of Mathematics (2018)
Research Articles
- Lagrangians, SO(3)-Instantons and Mixed Equation. Published in: Geometric and Functional Analysis (2024)
- Construction of a linear K-system in Hamiltonian Floer theory. Published in: Journal of Fixed Point Theory and Applications (2022)
- Lagrangian Floer theory on compact toric manifolds II: bulk deformations. Published in: Selecta Mathematica (2011)
- Exact Lagrangian submanifolds in simply-connected cotangent bundles. Published in: Inventiones mathematicae (2008)
- Anti-self-dual Equation on 4-manifolds with Degenerate Metric. Published in: Geometric & Functional Analysis (1998)
- Morse homotopy and Chern-Simons perturbation theory. Published in: Communications in Mathematical Physics (1996)
- Isometry groups of singular spaces. Published in: Mathematische Zeitschrift (1994)
- Collapsing of Riemannian manifolds and eigenvalues of Laplace operator. Published in: Inventiones mathematicae (1987)
Book Chapters
- Introduction
In: Kuranishi Structures and Virtual Fundamental Chains (2020) - Differentiable Operads, the Kuranishi Correspondence, and Foundations of Topological Field Theories Based on Pseudo-Holomorphic Curves
In: Arithmetic and Geometry Around Quantization (2010) - Geometry of Gauge Fields
In: Lectures on Geometric Variational Problems (1996) - On a compactification of the set of Riemannian manifolds with bounded curvatures and diameters
In: Curvature and Topology of Riemannian Manifolds (1986) - Construction of a linear K-system in Hamiltonian Floer theory
In: Symplectic Geometry (2022) - APPLICATION OF FLOER HOMOLOGY OF LANGRANGIAN SUBMANIFOLDS TO SYMPLECTIC TOPOLOGY
In: Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology (2006)
List of Shaw Prize Laureates in Mathematical Sciences
2025 Fukaya, Kenji
2024 Sarnak, Peter
2023 Drinfeld, Vladimir; Yau, Shing-Tung
2022 Alon, Noga; Hrushovski, Ehud
2021 Bismut, Jean-Michel; Cheeger, Jeff
2020 Beilinson, Alexander; Kazhdan, David
2019 Talagrand, Michel
2018 Caffarelli, Luis A.
2017 Kollár, János; Voisin, Claire
2016 Hitchin, Nigel J.
2015 Faltings, Gerd; Iwaniec, Henryk
2014 Lusztig, George
2013 Donoho, David L.
2012 Kontsevich, Maxim
2011 Christodoulou, Demetrios; Hamilton, Richard S.
2010 Bourgain, Jean
2009 Donaldson, Simon K.; Taubes, Clifford H.
2008 Arnold, Vladimir; Faddeev, Ludwig
2007 Langlands, Robert; Taylor, Richard
2006 Mumford, David; Wu, Wentsun
2005 Wiles, Andrew John
2004 Chern, Shiing-Shen
Mathematicians in the Shaw Prize Selection Committee in History
Ambrosio, Luigi ’21-’22; Atiyah, Michael ’06-’10 (Chair), ’11; Ball, John M ’16-’17; Bergeron, Nicolas ’20-’21; Bourguignon, Jean-Pierre ‘04-’05; Buffa, Annalisa ’17-’18; Chan, Tony F ’12-’13; De Concini, Corrado ’14-’15; Eisenbud, David ’16-’17; Eliashberg, Yakov ’13; Esnault, Hélène ’19-’20, ’22-’25 (Chair); Faltings, Gerd ’22-’23; Griffiths, Phillip A ’04-’07; Gowers, William Timothy ’12-’16, ’17-’21 (Chair); Hironaka, Heisuke ’06-’07; Kazhdan, David ’10-’11; Kenig, Carlos ’25; Khare, Chandrashekhar ’25; Kobayashi, Toshiyuki ’20-’21; Kumagai, Takashi ’22-’23; Lin, Chang-Shou ’04-’05; Ma, Zhi-Ming ’08-’09; Manin, Yuri ’08-’09; McDuff, Dusa ’17-’18; Mochizuki, Takuro ’25; Mok, Ngaiming ’23-’25; Morawetz, Cathleen S ’08-’09; Morgan, John W ’14; Mumford, David B ’08-’09; Novikov, Sergei P ’06-’07; Oh, Hee ’24; Otto, Felix ’18-’19; Sarnak, Peter C ’10, ’11-’16 (Chair); Seidel, Paul ’19-’20; Siu, Yum-Tong ’11; Uhlenbeck, Karen K ’21-’22; Vogan, Jr, David A ’14-’15; Voisin, Claire ’12-’13; Werner, Wendelin ’18-’19; Wright, Margaret ’10-’11; Wu, Wentsun ’04-’05 (Chair); Yang, Le ’04-’05; Yau, Horng-Tzer ’23-’24; Zhang, Gongqing ’06-’07
