Research
Birational geometry and the Minimal Model Program, especially in the compact Kähler setting.
Overview
I am an algebraic geometer working in birational geometry, with a particular focus on the Minimal Model Program for compact Kähler varieties. My research centers on the bimeromorphic structure of higher-dimensional compact Kähler varieties, the development of techniques in complex and birational geometry, and the Abundance Conjecture.
Research Themes
Minimal Model Program for compact Kähler varieties
Much of my recent work concerns extending the methods and structure of the Minimal Model Program beyond the projective setting to compact Kähler varieties, including threefolds and higher-dimensional cases.
Abundance and semi-ampleness
I am interested in the Abundance Conjecture and related base-point-free and semi-ampleness questions, particularly where analytic and birational methods interact.
Generalized and transcendental methods
Recent work also studies generalized pairs and transcendental versions of the Minimal Model Program, with applications to base-point-freeness questions for projective and Kähler varieties.
Earlier work
My earlier research includes the Minimal Model Program and singularities in positive characteristic, as well as birational questions for algebraically integrable foliations.