Yuchen Liu

Yuchen Liu is an Associate Professor in the Department of Mathematics at Northwestern University. He previously held positions as a Gibbs Assistant Professor at Yale University and a Visiting Assistant Professor at Princeton University. He received his Ph.D. in 2017 from Princeton University under the supervision of János Kollár. His research focuses on algebraic geometry, particularly K-stability, Fano varieties, moduli spaces, and singularities, supported by an NSF CAREER Grant and an AT&T Research Fellowship.

Education: PhD in Mathematics (2017, Princeton University). Key research interests include algebraic geometry applications in complex geometry, birational geometry, and geometric invariant theory. He actively contributes to seminars such as the Northwestern Algebraic Geometry Seminar and has organized conferences like the 'Asymptotics in Complex Geometry' in memory of Steve Zelditch.

Grants/Awards: NSF CAREER Grant DMS-2237139 (2022), AT&T Research Fellowship (2022).

Teaching: Currently instructing Algebraic Geometry (MATH 483-2) and MENU Abstract Algebra (MATH 331-3) in Spring 2025. Past teaching includes courses at Yale and Princeton.

Research Contributions: Focuses on foundational aspects of K-stability, moduli theory, and singularities in algebraic varieties. His work bridges algebraic geometry with differential geometry and geometric analysis.