Towards an enumerative geometry of the moduli space of twisted curves and r-th roots

Towards bounded negativity of self-intersection on general blown-up projective planes

Towards boundedness of minimal log discrepancies by Riemann--Roch theorem

Towards Characterizing Morphisms Between High Dimensional Hypersurfaces

Towards finite generation of the canonical ring without the MMP

Towards large genus asymtotics of intersection numbers on moduli spaces of curves

Towards Mirror Symmetry for Varieties of General Type

Towards Mori's program for the moduli space of stable maps

Towards motivic quantum cohomology of $\bar{M}_{0,S}$

Towards non-reductive geometric invariant theory

Towards the ample cone of $\mgn$

Towards the Classification of Weak Fano Threefolds with ρ= 2

Towards the cohomology of moduli spaces of higher genus stable maps

Towards the generalized Shapiro and Shapiro conjecture

Towards the geometry of double Hurwitz numbers

Towards the Intersection Theory on Hurwitz Spaces

Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties

Towards the multiplicative behavior of the K-theoretical McKay correspondence

Towards transversality of singular varieties: splayed divisors

Tower of coverings of quasi-projective varieties