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

- On 12th April, 2024, I submitted a new preprint. arXiv This is a joint work with Shin-ichi Matsumura and Niklas Müller.
- On 5th—9th August 2024, we will hold a workshop: New developments in Kobayashi–Hitchin correspondence and Higgs bundles
- 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:
- 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”.
- 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
- Google Scholar
- ORCiD
- Research Map
- Professional Societies: The Mathematical Society of Japan (Member #11981).