Selected papers:

1. The Calabi conjecture and K-stablity,
International Mathematics Research Notes (2012)．

2. The GIT stability of Polarized Varieties via Discrepancy,
Annals of Mathematics (2013)．

3. Compact moduli space of del Pezzo surfaces and K¥"ahler-Einstein metrics,
(joint with Cristiano Spotti, Song Sun), Journal of Differential Geometry (2016).

4. Compact moduli spaces of K¥"ahler-Einstein manifolds,
Publ. RIMS.(2015)

5. Canonical Kahler metrics and Arithmetics - Generalizing Faltings heights,
Kyoto J. Math (2018).

6. Tropical geometric compactification of Moduli, II: Ag case and Holomorphic Limits.
Int. Math. Res. Notices (2018).

Research monograph:
7. Collapsing K3 surfaces, Tropical geometry and Moduli compactifications of Satake, Morgan-Shalen type
(joint work with Y.Oshima)
MSJ Memoir vol. 40 (2021)

Awards:
Geometry prize (2018), Spring prize (2020), JSPS prize (2020).