Hiromichi Takagi

Mirror symmetry and projective geometry of Reye congruences I

Studying the mirror symmetry of a Calabi-Yau threefold

Classification of extremal contractions from smooth fourfolds of (3,1)-type

X

Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds

of the Reye congruence in

Double quintic symmetroids, Reye congruences, and their derived equivalence

\mP^4

Determinantal Quintics and Mirror Symmetry of Reye Congruences

, we conjecture that

Spin curves and Scorza quartics

X

Classification of primary ℚ-Fano threefolds with anti-canonical Du Val 3 surfaces, I

has a non-trivial Fourier-Mukai partner

Duality between S^2 P^4 and the Double Quintic Symmetroid

Y

Scorza quartics of trigonal spin curves and their varieties of power sums

. We construct

The moduli space of genus four even spin curves is rational

Y