# Shin-ichi MATSUMURA's webpage

## ● What's new

DD/MM/YYYY

24/09/2024: Paper [37] has been uploaded to arXiv.

11/09/2024: Paper [36] has been uploaded to arXiv.

17/07/2024: Paper [35] has been uploaded to arXiv.

05/07/2024: A revised version of Paper [30] has been uploaded to arXiv, which fixes errors contained in the previous version.

27/06/2024: Paper [30] has been accepted by Mathematische Annalen.

12/04/2024: Paper [34] has been uploaded to arXiv.

06/02/2024: Paper [33] has been uploaded to arXiv.

10/10/2023: Paper [28] has been accepted by Documenta Mathematica.

18/09/2023:Paper [32] has been uploaded to arXiv.

03/09/2023:Paper [27] has been accepted by Épijournal de Géométrie Algébrique.

25/07/2023:Paper [31] has been uploaded to arXiv.

13/04/2023 Paper [30] has been uploaded to arXiv.

## ● Upcoming Schedule

13/07--16/07: I will attend the Hayama conference in Japan

08/08--18/08: I will stay at Westlake University in China

19/08--23/08: I will attend the ICFIDCAA 2024 conference in Japan

17/09--20/09: I will attend the conference in Osaka

07/10--17/10: I will attend the conference in Fukuoka.

12/11--16/11: I will attend the conference in Kanazawa and give a talk.

25/11--29/11: I will attend the conference in Kyoto and give a talk.

07/12--08/12: I will attend the conference in Osaka.

15/12--23/12: I will give an intensive talk at Peking University and give a talk in Zhejiang.

17/02--21/02: I will attend the conference in Osaka.

??/02: I will stay at Kagoshima??

??/03: I will stay at Nice in France??

21/04--24/04: I will give an intensive talk at Progress in Complex Geometry @IBS center

12/07--19/07: I will give an intensive talk at 2025 Summer Research Institute in Algebraic Geometry @Colorado State University

## ● About me

My name is Shin-ichi Matsumura (松村 慎一 in native script).

I am a mathematician affiliated with the Mathematical Institute of Tohoku University in Japan.

My research interests lie in complex geometry, several complex variables, and algebraic geometry.

I am studying algebraic varieties (more generally Kaehler manifolds) and global complex analysis on them, using transcendental methods arising from the theory of several complex variables and differential geometry, motivated by higher-dimensional algebraic geometry (particularly, birational geometry). My recent interest lies in the following topics:

-Problems of extending holomorphic sections of pluri-canonical bundles from subvarieties to the ambient space, with applications in the minimal model program.

-Construction of an analytic framework for Hodge theory and the singularities (especially, the log canonical singularities) in algebraic geometry.

-Structure theorems for Kaehler spaces under certain semi-positively curved conditions, like semi-positive (bi)sectional curvature, tangent bundles, and anti-canonical divisors.

Comments on my research and papers are always welcome. Please feel free to e-mail me.

## ● Contents of this web page

-- Papers (the list of my papers, including preprints)

-- Tips