Masataka Iwai

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

News

On 26th–30th January 2026, we will hold the conference Workshop on Algebraic Geometry and Complex Geometry in Osaka at Nambu Yoichiro Hall in the University of Osaka.
I uploaded a new paper titled The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors on July 14, 2025. This is a joint work with Satoshi Jinnouchi (Osaka University) and Shiyu Zhang (University of Science and Technology of China, USTC).
Our joint work with Shin-ichi Matsumura (Tohoku University) and Guolei Zhong (IBS-CCG), titled Positivity of tangent sheaves of projective varieties – the structure of MRC fibrations, has been accepted for publication in Algebraic Geometry.

Home

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, The University of Osaka
Address : 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan
Position: associate professor Link

I do not accept international students unless they are introduced by some professors I know. So I do not answer emails asking to be my student. (I receive a lot of such emails.) We have an entrance exam every year for the Master’s program, so please take the exam.

Information

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.
3. Second Chern classes and structure theorem. I established several inequalities involving the second Chern class, such as Miyaoka–Yau-type inequalities, and established the structure theorem when the equality holds.

I also wrote more details on my staff page in the University of Osaka.

Others

Google Scholar
ORCiD
Research Map
Professional Societies: The Mathematical Society of Japan (Member #11981).

Access

Here is a summary of how to access the Faculty of Science / Nambu Hall at Osaka University, Toyonaka Campus, as well as a lunch map.