Articles

Accepted/Published papers

  1. The class of the affine line is a zero divisor in the Grothendieck ring: via G_2-Grassmannians. (with Atsushi Ito, Shinnosuke Okawa, and Kazushi Ueda), to appear in J. Algebraic Geom. [arXiv]
  2. Minuscule Schubert varieties and mirror symmetry. SIGMA 13 (2017), 067, 25 pages. [Journal] [arXiv]
  3. I-functions of Calabi--Yau 3-folds in Grassmannians. (with Daisuke Inoue, and Atsushi Ito), Commun. Number Theory Phys. 11 (2017), no. 2, 273--309. [Journal] [arXiv]
  4. Seshadri constants and degree of defining polynomials. (with Atsushi Ito), Math. Ann. 358 (2014), no. 1, 465--476. [Journal] [arXiv]

Preprints

  1. Projective reconstruction in algebraic vision. (with Atsushi Ito, and Kazushi Ueda), [arXiv]
  2. Derived equivalence and Grothendieck ring of varieties: the case of K3 surfaces of degree 12 and abelian varieties. (with Atsushi Ito, Shinnosuke Okawa, and Kazushi Ueda), [arXiv]
  3. Complete intersection Calabi--Yau manifolds with respect to homogeneous vector bundles on Grassmannians. (with Daisuke Inoue, and Atsushi Ito), [arXiv]
  4. Calabi--Yau complete intersections in G_2-Grassmannians. (with Atsushi Ito, Shinnosuke Okawa, and Kazushi Ueda), [arXiv]

Theses

  1. Hibi toric varieties and mirror symmetry. Ph.D. Thesis (January 2013), Abstract (Japanese).
  2. Toric degenerations of Grassmannians and Mirror symmetry. Master Thesis (Japanese) (February 2010).