Yoshinori Hashimoto's website
I am currently an associate professor at Department of Mathematics, Osaka Metropolitan University.
My research area is in complex differential and algebraic geometry. I am particularly interested in canonical metrics in Kähler geometry and its relationship to algebro-geometric stability in the sense of Geometric Invariant Theory.
Brief CV
Education
University College London (UK), 2013-2015, PhD student, supervised by Jason Lotay and Michael Singer. Link to my thesis.
University of Edinburgh (UK), 2011-2012, PhD student (transferred to the University College London in January 2013).
University of Cambridge (UK), 2010-2011, Part III Mathematical Tripos, MMath with distinction.
University of Cambridge (UK), 2008-2010, BA (Hons) in Mathematics (Class 1).
University of Tokyo (Japan), 2004-2008, BA in Cognitive Behavioral Science.
Employment
Osaka Metropolitan University (Japan), 2022-current, associate professor.
Tokyo Institute of Technology (Japan), 2018-2022, assistant professor.
Università degli Studi di Firenze (Italy), 2018, postdoc in memory of Paolo de Bartolomeis. Mentor: Fiammetta Battaglia.
Université d'Aix-Marseille (France), 2017-2018, postdoc. Mentor: Julien Keller.
Data4CS K.K. (Japan), 2016-2017, data analyst.
Visits
CRM-Simons Scholar, Centre de Recherche Mathématique, Montréal (Canada), June 2024.
ShanghaiTech University (China), Institute of Mathematical Sciences, from September 2019 to January 2020.
Publications
Papers
Balanced metrics for extremal Kähler metrics and Fano manifolds, In: Hirachi, K., Ohsawa, T., Takayama, S., Kamimoto, J. (eds) The Bergman Kernel and Related Topics. HSSCV 2022. Springer Proceedings in Mathematics & Statistics, vol 447 (arXiv:2311.11612).
Anticanonically balanced metrics and the Hilbert--Mumford criterion for the delta_m-invariant of Fujita--Odaka, Ann. Global Anal. Geom., 64, (2023) n. 8. (arXiv:2104.12346); link to the view-only version.
Quot-scheme limit of Fubini--Study metrics and its applications to balanced metrics, with Julien Keller, In: Cheltsov, I., Chen, X., Katzarkov, L., Park, J. (eds) Birational Geometry, Kähler–Einstein Metrics and Degenerations. Springer Proceedings in Mathematics & Statistics, vol 409 (arXiv:2101.00996).
Expected centre of mass of the random Kodaira embedding, J. Geom. Anal., 32, 122 (2022), (arXiv:2009.06201); link to the view-only version.
Quot-scheme limit of Fubini--Study metrics and Donaldson's functional for vector bundles, with Julien Keller, Épijournal de Géométrie Algébrique, 5 (2021), n.21 (arXiv:1809.08425).
Quantisation of extremal Kähler metrics, J. Geom. Anal., 31 (2021), n.3, 2970--3028. (arXiv: 1508.02643); link to the view-only version.
Mapping properties of the Hilbert and Fubini--Study maps in Kähler geometry, Ann. Fac. Sci. Toulouse Math. Série 6, Tome 29 (2020) no. 2, 371--389. (arXiv: 1705.11025); corrections in progress due to an example provided by Laszlo Lempert, and a revised version will be available in due course.
Existence of twisted constant scalar curvature Kähler metrics with a large twist, Math. Z., 292 (2019), n. 3-4, 791--803. (arXiv: 1508.00513); link to the view-only version.
Relative stability associated to quantised extremal Kähler metrics, J. Math. Soc. Japan, 71 (2019), n. 3, 861--880. (arXiv: 1705.11018).
Scalar curvature and Futaki invariant of Kähler metrics with cone singularities along a divisor, Ann. Inst. Fourier, 69 (2019) n.2, 591--652. (arXiv: 1508.02640).
About J-flow, J-balanced metrics, uniform J-stability and K-stability, with Julien Keller, Asian J. Math., 22 (2018), n. 3, 391--412. (arXiv: 1705.02000).
Slope instability of projective spaces blown up along a line, Ann. Global Anal. Geom., 53 (2018), n. 2, 251--264. (arXiv: 1508.02637); link to the view-only version.
A variational approach to the Hermitian--Einstein metrics and the Quot-scheme limit of Fubini--Study metrics, with Julien Keller, arXiv:1907.05770, to appear in Geom. Dedicata.
Ueda's lemma via uniform Hörmander estimates for flat line bundles, with Takayuki Koike, arXiv:2212.01360, to appear in Kyoto J. Math.
On uniform log K-stability for constant scalar curvature Kähler cone metrics, with Takahiro Aoi and Kai Zheng, arXiv:2110.02518, to appear in Comm. Anal. Geom.
Preprints
On the coupled Ding stability and the Yau--Tian--Donaldson correspondence for Fano manifolds, with Kento Fujita, arXiv:2412.04028, submitted.
Uniform L^2-estimates for flat nontrivial line bundles on compact complex manifolds, with Takayuki Koike and Shin-ichi Matsumura, arXiv:2409.05300, submitted.
A Hilbert--Mumford criterion for nilsolitons, arXiv:2311.12469, submitted.
Link to the list of my papers on arXiv.
Publications in Japanese
See my page in Japanese.
Other notes
An Introduction to the Kempf--Ness Theorem; lecture notes for the postgraduate courses (Advanced topics in Geometry E and F) at Tokyo Institute of Technology, and Advanced Geometry D (Lectures on Geometry I) at Osaka Metropolitan University.
Lecture notes for the intensive course at Kyoto University.
Lecture notes for the postgraduate course (Mathematical Sciences B) at Osaka Metropolitan University.
Talks
Magnitude 2024, Kyushu University (Japan), 8-9/Jan/2025.
Symplectic and complex geometry days in Osaka, Osaka Metropolitan University (Japan), 16-17/Jan/2025.
Non-archimedean and tropical geometry from complex and algebraic geometry and dynamics, Osaka Metropolitan University (Japan), 16-19/Jan/2025.
Conferences
The 9th Japan-China Geometry Conference, Takamatsu City (Japan), 23-27/Dec/2024.
Magnitude 2024, Kyushu University (Japan), 8-9/Jan/2025.
Symplectic and complex geometry days in Osaka, Osaka Metropolitan University (Japan), 16-17/Jan/2025.
Non-archimedean and tropical geometry from complex and algebraic geometry and dynamics, Osaka Metropolitan University (Japan), 20-24/Jan/2025.
The 8th Workshop "Complex Geometry and Lie Groups", Osaka (Japan), 10-14/Mar/2025.
Grants
Principal Investigator
JSPS KAKENHI (Grant-in-Aid for Scientific Research (C)), 2023-2027, Grant Number JP23K03120.
JSPS KAKENHI (Grant-in-Aid for Early-Career Scientists), 2019-2023, Grant Number JP19K14524.
Co-Investigator
JSPS KAKENHI (Grant-in-Aid for Scientific Research (B)), 2024-2029, Grant Number JP24K00524. Principal Investigator: Hisashi Kasuya.
Organisation of events
OCAMI Differential Geometry Seminar (website in Japanese) and OCAMI Complex Analysis Seminar (in Japanese); organiser 2022-current.
専門家向け勉強会「ケーラー多様体上の標準計量とその周辺」, the second meeting, the third meeting, the fourth meeting, and the fifth meeting co-organised with organised by Nobuhiro Honda and Satoshi Nakamura.
Mini-workshop on Higgs bundles, co-organised with Masataka Iwai, Hisashi Kasuya, and Natsuo Miyatake.
New developments in Kobayashi–Hitchin correspondence and Higgs bundles, co-organised with Masataka Iwai, Hisashi Kasuya, and Natsuo Miyatake.
Workshop on Dynamics in Arithmetic and Complex Geometry and its applications; list of organisers.
Non-archimedean and tropical geometry from complex and algebraic geometry and dynamics; list of organisers.
Symplectic and complex geometry days in Osaka, co-organised with Masahiro Futaki and Yohsuke Imagi.
Geometry seminar at Tokyo Institute of Technology; organiser 2020-21.
Groupe de Travail - Métriques à courbure spéciale (géométrie complexe); a work group at the Institut de Mathématiques de Marseille, organised by Julien Keller and myself.
UCL Junior geometry seminar; organiser 2013-14. Link to the current website.
Links
Home Page of the GeCo GeDi (Geometria Complessa e Geometria Differenziale) project.
Titech complex geometry seminar; a seminar held intermittently at Tokyo Institute of Technology.
Contact Details
Email : yhashimoto_AT_omu.ac.jp (please replace _AT_ by @)
Postal address :
Department of Mathematics, Graduate School of Science/School of Science,
Osaka Metropolitan University,
3-3-138, Sugimoto, Sumiyoshi-ku, Osaka,
558-8585,
JAPAN.