Current research

I am studying CalabiYau manifolds in wider sense, mostly K3 surfaces,CalabiYau manifolds in the strict sense and compact hyperkaeher manifolds. Currently, I am mainy studying the existence problem of primitive automorphisms, the KawamataMorrison cone conjecture, and the(non)liftability problem of automorphisms of K3 surfaces from positive
characteristic to characteristic zero, from both birational geometrical view and complex dynamical view. 
Selected publications

 Oguiso, K., Some aspects of explicit birational geometry inspired by complex dynamics, Proceedings of the International Congress of Mathematicians, Seoul 2014 Vol.II 695721.
 Esnault, H., Oguiso, K., Nonliftability of automorphism groups of a K3 surface in positive characteristic, Math. Ann. 363 (2015) 11871206.
 Cantat, S., Oguiso, K., Birational automorphism groups and the movable cone theorem for CalabiYau manifolds of Wehler type via universal Coxeter groups, Amer. J. Math. 137 (2015) 10131044.
 Oguiso, K., Truong, T.T., Explicit examples of rational and CalabiYau threefolds with primitive automorphisms of positive entropy, Kodaira Centennial issue of the Journal of Mathematical Sciences, the University of Tokyo, 22 (2015) 361385.
 Campana, F., Oguiso, K., Peternell, Th., Nonalgebraic hyperkaehler manifolds, J. Differential Geometry 85 (2010) 397424.
 Oguiso, K., Bimeromorphic automorphism groups of nonprojective hyperkaehler manifolds  a note inspired by C. T. McMullen, J.Differential Geometry 78 (2008) 163191.
 Oguiso, K., Tits alternative in hyperkaehler manifolds, Math. Research Letters, 13 (2006) 307316.
 Oguiso, K., Local families of K3 surfaces and applications, J.Algebraic Geometry 12 (2003) 405433.
 Oguiso, K., On algebraic fiber space structures on a CalabiYau 3folds, International J. Math. 4 (1993) 439465.
 Oguiso, K., Shioda, T., The MordellWeil lattice of a rational elliptic surface, Comment. Math. Univ. St. Paul. 40 (1991) 8399.

Memberships, awards and activities

Mathematical Society of Japan
The MSJ Takebe Katahiro Prizes 1998
Algebra prize 2009
Osaka University Presidential Awards for Achievement in Research 2015
An editor of J. Algebraic Geometry
KIAS Scholar
