Research:
Algebraic geometry (higher dimensional, birational, minimal model program).
Papers:
Divisorial algebras and modules on schemes, 2011.
Existence of log canonical flips and a special LMMP, 2011.
Supplement to the paper "On existence of log minimal models II", 2011.
On existence of log minimal models and weak Zariski decompositions,
To appear in "Math Annalen".
On existence of log minimal models II,
J. Reine Angew Math. 658 (2011), 99-113.
Minimal models, flips and finite generation : a tribute to V.V. SHOKUROV and Y.-T. SIU,
In "Classification of algebraic varieties", European Math Society series of congress reports (2010)
(joint with Mihai Paun)
Iitaka conjecture C_{n,m} in dimension six
.
Compositio Math. volume 145 (2009), 1442-1446.
On termination of log flips in dimension four.
Math. Ann. volume 346, no 2 (2009), 251-257.
Log minimal models according to Shokurov.
J. Algebra and Number Theory, volume 3, no 8 (2009), 951-958.
On existence of log minimal models.
Compositio Mathematica 146 (2010), 919-928.
Existence of minimal models for varieties of log general type.
(joint with Cascini, Hacon and M
c
Kernan)
J. Amer. Math. Soc. 23 (2010), 405-468.
Mld's vs thresholds and flips.
(joint with Shokurov).
J. Reine Angew Math, 638 (2010), 209-234.
Ascending chain condition for log canonical thresholds and termination of log flips.
Duke Math. J. Volume 136, Number 1 (2007), 173-180.
PhD thesis,
2004
Boundedness of epsilon-lc complements on surfaces II,
2004
Boundedness of epsilon-lc complements on surfaces,
2004
On Shokurov's log flips: the 3-dimensional case,
2002
Elements of nonstandard algebraic geometry,
2001
Talks:
Minimal model program and moduli spaces,
2007
(Hokkaido University, Japan)
A complete list of talks
(up to October 2011)