Shin-ichi MATSUMURA【松村慎一】, Professor

Research Field

Complex Geometry, Several Complex Variables, Algebraic Geometry

Main Research Interests

My research lies in the field of higher-dimensional algebraic geometry, especially birational geometry, and focuses on the study of the geometric structure of algebraic varieties (more generally Kaehler spaces), as well as the global complex analysis developed on them, by means of transcendental methods arising from several complex variables and differential geometry.
An algebraic variety is a geometric object defined locally as the zero locus of polynomial equations. For example, a line, a circle, a parabola, and a hyperbola are among the most basic examples of algebraic varieties. Algebraic varieties can be studied algebraically within the framework of scheme theory, which is founded on such subjects as ring theory, homological algebra, and category theory. On the other hand, when the ground field is taken to be the field of complex numbers, they can also be regarded as complex manifolds (more generally analytic spaces), so that analytic notions such as holomorphic functions, harmonic functions, curvature, and differential equations can be introduced. From these analytic and geometric perspectives, I study various problems arising in algebraic geometry and Kaehler geometry.

A Message to Students

Although this is by no means easy even for myself, I hope that students will not simply accept the words of textbooks or instructors as they are, but will think matters through for themselves, even in seemingly minor points, and pursue their study and research only after reaching a sufficient level of understanding and conviction. In addition, those who wish to have me as their academic advisor in graduate school are encouraged to contact me by email in advance.

Remarks

Personal Web Page
Laboratory	Mathematics Building 407
Telephone
E-mail	mshinichi-math[at]tohoku.ac.jp

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