- 2022 - 2027 Birational geometry of Fano varieties
- 2018 - 2023 Rationality problem of algebraic varieties and related topics
- 2014 - 2020 Castelnuovo-Mumford regularity and syzygies for projective varieties and its related topics
- 2014 - 2018 Birational Mori fiber structures of Fano varieties and rationality problem
- 2014 - 2017 Arithmetical rank of Stanley-Reisner ideals and projective dimension of their powers
- 2012 - 2014 Explicit study of rationality of Q-Fano varieties and its related topics
- 2009 - 2014 Castelnuovo-Mumford regularity for projective variety and its related topics
- 2009 - 2010 Birational geometry of nonrational rationally connected varieties
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