Research Areas
Differential Geometry
Education
1973 April - 1977 March : University of Tokyo (Bachelor degree).
1977 April - 1979 March : University of Tokyo (Master degree).
1979 April - 1981 March : University of Tokyo (retired before taking Ph.D because of the employment as Lecturer at Chiba University).
1987 March : Ph.D at the University of Tokyo.
Work Experience
1981 April - 1987 March, Lecturer at Chiba University.
1987 April - 1989 May, Assistant Professor at Chiba University.
1989 June - 1996 June, Assistant Professor at Tokyo Institute of Technology.
1996 July - 2012 September, Professor at Tokyo Institute of Technology.
2012 October - 2018 March, Professor at University of Tokyo.
2018 April - present, Professor at Tsinghua University.
Emeritus Professor :
University of Tokyo
Tokyo Institute of Technology
Visiting positions:
1984, August - 1986, July : University of California at Berkeley, Research Associate supported by Japan Society for the Promotion of Science.
1991, October - 1992, September : Max-Planck Insitut f\"ur Mathematik, visiting member.
1994, August - 1995, May : Mathematical Sciences Research Institute at Berkeley, California supported by Japanese Ministry of Education.
2001, September - 2002, February : Institut des Hautes \'Etudes Scientifiques, visiting member.
2011, September - 2011, October : Tsinghua University, Mathematical Sciences Center, visiting member.
2016, January - 2016, March : Mathematical Sciences Research Institute at Berkeley, California (Simons Visiting Professor).
Awards
1990 Geometry Prize, Mathematical Society of Japan
2011 Autumn Prize, Mathematical Society of Japan
Publications
T.Diez, A.Futaki and T. S. Ratiu,
Cartan Geometry and Infinite-Dimensional Kempf-Ness Theory.
Preprint 2024, arXiv:2405.20864.
A.Futaki, X.F.Sun and Y.Y.Zhang :
Hodge Laplacian and geometry of Kuranishi family of Fano manifolds.
to appear in Kyoto Journal of Mathematics.
Preprint 2022, arXiv:2212.04110.
A.Futaki : Deformations of Fano manifolds with weighted solitons,
Pure and Applied Mathematics Quarterly. 20(2024), 903--921.
A.Futaki : Moment polytopes on Sasaki manifolds and volume minimization.
Pure and Applied Mathematics Quarterly,
19(2023), 487-513.
A.Futaki : Irregular Eguchi-Hanson type metrics and their soliton analogues.
Pure and Applied Mathematics Quarterly,
17(2021), 27--53.
A.Futaki and L. La Fuente-Gravy :
Quantum moment map and obstructions to the existence of closed Fedosov star products.
J. Geom. Phys. 163 (2021), 104118.
A.Futaki and Y.Y. Zhang :
Residue formula for an obstruction to Coupled K¥"ahler-Einstein metrics.
J. Math. Soc. Japan. 73(2021), 389-401.
A.Futaki and Y.Y. Zhang :
Coupled Sasaki-Ricci solitons.
Science China Math., 64(2021), 1447-1462.
A.Futaki and L. La Fuente-Gravy :
Deformation quantization and Kähler geometry with moment map.
ICCM 2018 Proc. pp 31--66, (2020) International Press of Boston.
A.Futaki and H.Ono :
Geometric nonlinear problems and GIT stability through moment maps.
In: The Role of Metrics in the Theory of Partial Differential Equations.
Advanced Studies in Pure Mathematics 85, 2020, pp. 105--114.
A.Futaki and H.Ono :
On the existence problem of Einstein-Maxwell Kähler metrics.
In: Chen J., Lu P., Lu Z., Zhang Z. (eds) Geometric Analysis. Progress in Mathematics, vol 333 (2020). Birkhäuser, Cham.
A.Futaki and H.Ono :
Cahen-Gutt moment map, closed Fedosov star product and structure of
the automorphism group. J. Symplectic. Geom. 18(2020), 123-145.
A.Futaki and H.Ono :
Conformally Einstin-Maxwell Kähler metrics and structure
of the automorphism group, Math. Zeit. 292(2019), 571-589.
A.Futaki and H.Ono :
Volume minimization and obstructions to solving some problems in Kähler geometry,
ICCM Notices, 6(2018), 51-60.
A.Futaki and H.Ono :
Volume minimization and Conformally Kähler, Einstein-Maxwell
geometry. J. Math. Soc. Japan. 70(2018), 1493-1521.
