Masataka Iwai

This is Masataka Iwai’s Homepage. A Japanese version is here.→日本語版

Schedule

On 19th September, 2023, I submitted a new preprint. arXiv This is a joint work with Shin-ichi Matsumura and Guolei Zhong.
On 12th April, 2024, I submitted a new preprint. arXiv This is a joint work with Shin-ichi Matsumura and Niklas Müller.
On 17th–20th September, 2024, we will hold a workshop: Workshop on Algebraic Geometry over complex number field or in positive characteristic -Around positivity of tangent sheaves and anti-canonical divisors-

I’m Masataka Iwai, an assistant professor in Department of Mathematics, Graduate School of Science, Osaka University. Link
I’m majoring in complex geometry, algebraic geometry, and several complex variables.
I’m interested in these topics:
1. Structure of projective manifolds whose tangent bundles are “positive” (such as ample, nef, big, pseudo-effective). I established the structure theorem for projective manifolds with “positive” tangent bundles or “positive” foliations. Recently, I studied the structure of log smooth pairs whose logarithmic tangent bundles are “positive”.
2. Structure of projective manifolds whose cotangent bundles are “positive”. I proved the abundance conjecture for minimal projective manifolds with nef cotangent bundles whose numerical Kodaira dimension is one and I established the structure theorem for this projective manifolds.

Also, I studied relative anti-canonical divisors and relative versions of Fujita’s conjecture.

Name: Masataka Iwai
Major: complex geometry, algebraic geometry, several complex variables
Email: masataka[at]math.sci.osaka-u.ac.jp, masataka.math[at]gmail.com
Affiliation: Department of Mathematics, Graduate School of Science, Osaka University
Address : 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan
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Professional Societies: The Mathematical Society of Japan (Member #11981).