Masataka Iwai

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

News

  • On 12th April, 2024, I submitted a new preprint. arXiv This is a joint work with Shin-ichi Matsumura and Niklas Müller.
  • I will give a talk at the Workshop on Fano Varieties to be held at Peking University on June 23-27, 2025.

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

I am an assistant professor, so under the current system, I am not allowed to supervise master’s or doctoral students. Therefore, sending me an email saying, “I want to study under you” serves no purpose. I will ignore such emails.

Information

  • I’m Masataka Iwai, an assistant professor in Department of Mathematics, Graduate School of Science, The University of Osaka. 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.
    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