Yoshinori Hashimoto's website

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

• 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.

• Non-archimedean and tropical geometry from complex and algebraic geometry and dynamics, Osaka Metropolitan University (Japan), 16-19/Jan/2025.

List of talks given

Conferences

• Goto 60, Osaka University (Japan), 7-8/Dec/2024.

• The 9th Japan-China Geometry Conference, Takamatsu City (Japan), 23-27/Dec/2024.

• Magnitude 2024, Kyushu University (Japan), 8-9/Jan/2025.

• Non-archimedean and tropical geometry from complex and algebraic geometry and dynamics, Osaka Metropolitan University (Japan), 16-19/Jan/2025.

• The 8th Workshop "Complex Geometry and Lie Groups", Osaka (Japan), 10-14/Mar/2025.

List of conferences attended

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.

• 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 Prof Julien Keller and myself.

• UCL Junior geometry seminar; organiser 2013-14. Link to the current website.

Links

• OCAMI Differential Geometry Seminar (website in Japanese)

• OCAMI Complex Analysis Seminar (in Japanese)

• Sugimoto Algebra Seminar

• Seminars at Tokyo Institute of Technology (in Japanese).

• 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.

• The Mathematical Society of Japan.

• Sinnihon Scholarship Foundation.

• Heiwa Nakajima Foundation.

My website in Japanese is here. 日本語のウェブサイトはこちらです．

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.